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358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; struct circle { int x; int d; } c[1005]; int main() { int i, j, flag, n, a[1005]; scanf("%d", &n); flag = 0; for (i = 0; i < n; ++i) scanf("%d", &a[i]); for (i = 0; i < n - 1; ++i) { c[i].x = min(a[i], a[i + 1]); c[i].d = abs(a[i + 1] - a[i]); } for (i = 0; i < n - 2; ++i) { for (j = i + 1; j < n - 1; ++j) { if (c[i].x < c[j].x) { if ((c[j].x - c[i].x < c[i].d) && (c[i].x + c[i].d < c[j].x + c[j].d)) { flag = 1; break; } } else if (c[i].x > c[j].x) { if ((c[i].x - c[j].x < c[j].d) && (c[j].x + c[j].d < c[i].x + c[i].d)) { flag = 1; break; } } } if (flag) break; } if (!flag) printf("no\n"); else printf("yes\n"); return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.*; import java.util.StringTokenizer; public class Main { static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader(new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } public static void main(String[] args) { FastReader fs=new FastReader(); int n = fs.nextInt(); List<int[]> ls = new ArrayList<int[]>(); int[] a = new int[n]; for(int i=0;i<n;i++) { a[i] = fs.nextInt(); } boolean flag = false; for(int i=0;i<n-1;i++) { int l = Math.min(a[i],a[i+1]); int r = Math.max(a[i],a[i+1]); for(int[] ar : ls) { if( ( (ar[0]<l && ar[0]<r) && (ar[1]>l && ar[1]<r) ) || ( (ar[0]>l && ar[0]<r) && (ar[1]>l && ar[1]>r) ) ) { flag=true; break; } } ls.add(new int[]{l,r}); if(flag) break; } String res = (flag) ? "yes" : "no"; System.out.println(res); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
from Queue import * # Queue, LifoQueue, PriorityQueue from bisect import * #bisect, insort from datetime import * from collections import * #deque, Counter,OrderedDict,defaultdict import calendar import heapq import math import copy import itertools def solver(): n = input() num = map(int,raw_input().split()) for i in range(len(num)-1): x1 = num[i] y1 = num[i+1] left = min(x1,y1) right = max(x1,y1) for j in range(i+1,len(num)-1): x2 = num[j] y2 = num[j+1] now_left = min(x2,y2) now_right = max(x2,y2) if left == now_left and right == now_right: print "yes" return if left == now_left or right == now_right: continue if left < now_left < right and right < now_right: print "yes" return if left < now_right < right and left > now_left: print "yes" return print "no" if __name__ == "__main__": solver()
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int a[1005]; int n; cin >> n; for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); } for (int i = 2; i <= n; i++) { for (int j = 2; j <= n; j++) { if (i == j) continue; int x1 = a[i - 1]; int y1 = a[i]; int x2 = a[j - 1]; int y2 = a[j]; if (x1 > y1) swap(x1, y1); if (x2 > y2) swap(x2, y2); if (x2 > x1 && x2 < y1 && y2 > y1) { printf("yes\n"); return 0; } if (x1 > x2 && x1 < y2 && y1 > y2) { printf("yes\n"); return 0; } } } printf("no\n"); }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int mod = 1e9 + 7; void solve() { int n; cin >> n; int a[n]; for (int i = 0; i < n; i++) cin >> a[i]; for (int i = 0; i < n - 1; i++) { for (int j = 1 + i; j < n - 1; j++) { int p = a[i], q = a[i + 1], r = a[j], s = a[j + 1]; if (p > q) swap(p, q); if (r > s) swap(r, s); if (r > p && r < q && s > q || s > p && s < q && r < p) { cout << "yes"; return; } } } cout << "no"; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); solve(); }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.*; import java.util.*; public class DimaAndContinuousLine { public static void main(String[] args) throws IOException { BufferedReader f = new BufferedReader(new InputStreamReader(System.in)); int n = Integer.parseInt(f.readLine()); StringTokenizer st = new StringTokenizer(f.readLine()); int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = Integer.parseInt(st.nextToken()); boolean intersect = false; for (int i = 0; i < n-1; i++) for (int j = i+1; j < n-1; j++) { int x = Math.min(a[i], a[i+1]); int y = Math.max(a[i], a[i+1]); if (a[j] > x && a[j] < y) if (a[j+1] < x || a[j+1] > y) intersect = true; if (a[j] < x || a[j] > y) if (a[j+1] > x && a[j+1] < y) intersect = true; } System.out.println(intersect?"yes":"no"); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.*; import java.util.*; public class Semicircles { public static void main(String[] args) throws IOException { BufferedReader rd = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st; int n = Integer.parseInt(rd.readLine()); x = new int[n]; st = new StringTokenizer(rd.readLine()); for(int i=0; i<n; i++) x[i] = Integer.parseInt(st.nextToken()); if(n<=2){ System.out.println("no"); return; } for(int i=0; i<n-1; i++){ if(!ok(x[i], x[i+1], i)){ System.out.println("yes"); return; } } System.out.println("no"); } static boolean ok(int a, int b, int iter){ for(int i=0; i<iter; i++){ if(intersect(a, b, x[i], x[i+1])) return false; } return true; } static boolean intersect(int x, int y, int a, int b){ if(x>y || a>b) return intersect(Math.min(x, y), Math.max(x, y), Math.min(a, b), Math.max(a, b)); return (x<a && a<y && b>y) || (a<x && x<b && y>b); } static int[] x; static boolean[][] been = new boolean[1001][1001]; }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.Arrays; import java.util.Scanner; public class Solution { public static void main(String[] args) throws Exception { Scanner in = new Scanner(System.in); int n = in.nextInt(); int[] a = new int[n]; boolean yes = false; for (int i = 0; i < n && !yes; i++) { a[i] = in.nextInt(); for (int j = 1; j < i; j++) { int[] x = { a[i - 1], a[i], a[j - 1], a[j] }; Arrays.sort(x, 0, 2); Arrays.sort(x, 2, 4); yes |= (x[0] < x[2] && x[2] < x[1] && x[1] < x[3]) || (x[2] < x[0] && x[0] < x[3] && x[3] < x[1]); } } System.out.println(yes ? "yes" : "no"); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(raw_input()) a = map(int, raw_input().split()) ok = True b = [[a[i], a[i+1]] for i in xrange(n-1)] for i in xrange(n-1): b[i].sort() for j in xrange(i): if b[i][0] < b[j][0] < b[i][1] < b[j][1] or b[j][0] < b[i][0] < b[j][1] < b[i][1]: ok = False print "no" if ok else "yes"
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n=int(input()) l=list(map(int,input().split())) l1=[] for i in range(n-1): l1+=[[l[i],l[i+1]]] for i in range(n-1): if l1[i][0]>l1[i][1]: l1[i][0],l1[i][1]=l1[i][1],l1[i][0] for i in l1: for j in l1: if i[0]<j[0]<i[1]<j[1]: print("yes") exit() elif j[0]<i[0]<j[1]<i[1]: print("yes") exit() print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n,ans = int(raw_input()),"no" x = list(int(y) for y in raw_input().split()) for i in xrange(0,n-1): for j in xrange(0,i): l,r = sorted([x[i],x[i+1]]) L,R = sorted([x[j],x[j+1]]) if l>L and l<R and r>R : ans = "yes" elif r>L and r<R and l<L : ans = "yes" print ans
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
a=int(input()) z=[] te=list(map(int,input().split())) for i in range(1,len(te)): z.append([min(te[i],te[i-1]),max(te[i],te[i-1])]) flag=0 for i in range(len(z)): for j in range(i+1,len(z)): if(z[j][0]<z[i][0]<z[j][1] and z[i][1]>z[j][1]): flag=1 break; if(z[i][0]<z[j][0]<z[i][1] and z[j][1]>z[i][1]): flag=1 break; if(flag==1): print('yes') else: print('no')
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int n, now, prev; vector<pair<int, int> > e; cin >> n >> prev; for (int i = 1; i < n; ++i) { cin >> now; e.push_back(pair<int, int>(min(prev, now), max(prev, now))); prev = now; } sort(e.begin(), e.end()); for (unsigned i = 0; i < e.size(); ++i) { for (unsigned j = i + 1; j < e.size(); ++j) { if (e[j].first > e[i].first && e[j].first < e[i].second && e[j].second > e[i].second) { cout << "yes\n"; return 0; } } } cout << "no\n"; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); vector<int> store; int n; cin >> n; for (int k = 0; k < n; k++) { int curr; cin >> curr; store.push_back(curr); } vector<pair<int, int>> pairs; for (int k = 0; k < store.size() - 1; k++) pairs.push_back( make_pair(min(store[k], store[k + 1]), max(store[k], store[k + 1]))); bool ans = false; for (int k = 0; k < store.size() - 1; k++) { for (int j = k + 1; j < store.size(); j++) { if (get<0>(pairs[k]) < get<0>(pairs[j]) && get<0>(pairs[j]) < get<1>(pairs[k]) && get<1>(pairs[k]) < get<1>(pairs[j])) ans = true; else if (get<0>(pairs[j]) < get<0>(pairs[k]) && get<0>(pairs[k]) < get<1>(pairs[j]) && get<1>(pairs[j]) < get<1>(pairs[k])) ans = true; } } if (ans) cout << "yes"; else cout << "no"; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.InputStreamReader; import java.io.IOException; import java.io.OutputStreamWriter; import java.io.BufferedWriter; import java.io.BufferedReader; import java.io.OutputStream; import java.io.PrintWriter; import java.io.Writer; import java.util.StringTokenizer; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top * @author naman */ public class Main { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; InputReader in = new InputReader(inputStream); OutputWriter out = new OutputWriter(outputStream); cf_208_A solver = new cf_208_A(); solver.solve(1, in, out); out.close(); } } class cf_208_A { public void solve(int testNumber, InputReader in, OutputWriter out) { int n=in.nextInt(); int a[]=new int[n]; for(int i=0;i<n;i++) a[i]=in.nextInt(); int a_start,a_end,b_start,b_end; boolean status=false; for(int i=0;i<n-1;i++) { a_start=Math.min(a[i],a[i+1]); a_end=Math.max(a[i],a[i+1]); for(int j=i+1;j<n-1;j++) { b_start=Math.min(a[j],a[j+1]); b_end=Math.max(a[j],a[j+1]); if((a_start<b_start && b_start<a_end && a_end<b_end) || (b_start<a_start && b_end>a_start && b_end<a_end)) { status=true; //out.printLine("yes"); break; } } } if(status) out.printLine("yes"); else out.printLine("no"); } } class InputReader { BufferedReader in; StringTokenizer tokenizer=null; public InputReader(InputStream inputStream) { in=new BufferedReader(new InputStreamReader(inputStream)); } public String next() { try{ while (tokenizer==null||!tokenizer.hasMoreTokens()) { tokenizer=new StringTokenizer(in.readLine()); } return tokenizer.nextToken(); } catch (IOException e) { return null; } } public int nextInt() { return Integer.parseInt(next()); } } class OutputWriter { private final PrintWriter writer; public OutputWriter(OutputStream outputStream) { writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream))); } public OutputWriter(Writer writer) { this.writer = new PrintWriter(writer); } public void print(Object...objects) { for (int i = 0; i < objects.length; i++) { if (i != 0) writer.print(' '); writer.print(objects[i]); } } public void printLine(Object...objects) { print(objects); writer.println(); } public void close() { writer.close(); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; bool intersectan(int a, int b, int c, int d) { if (a > b) swap(a, b); if (c > d) swap(c, d); if ((a < c && c < b && b < d) || (c < a && a < d && d < b)) { return true; } return false; } int main() { int n; bool e = false; cin >> n; vector<int> x(n); cin >> x[0]; for (int i = 1; (i < n); i++) { cin >> x[i]; for (int j = 0; (j < i - 2); j++) { if (intersectan(x[i - 1], x[i], x[j], x[j + 1])) e = true; } } if (e) cout << "yes" << endl; else cout << "no" << endl; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = input() v = list(map(int, raw_input().split())) w = [(min(v[x], v[x+1]), max(v[x], v[x+1])) for x in range(0, n-1)] for i in range(0, len(w)): for j in range(0, len(w)): if i == j: continue a, b = w[i][0], w[i][1] c, d = w[j][0], w[j][1] if a < c and c < b and (d < a or d > b): print 'yes' exit() print 'no' #####
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int cmp(vector<int> x, vector<int> y) { return x[0] < y[0]; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); int n; cin >> n; vector<vector<int>> a(n, vector<int>(3)); multiset<pair<int, int>> stl, str; int prev; cin >> prev; for (int i = 1; i < n; ++i) { int cur; cin >> cur; a[i][0] = abs(cur - prev); a[i][1] = min(cur, prev); a[i][2] = max(cur, prev); stl.insert(make_pair(min(cur, prev), max(cur, prev))); str.insert(make_pair(max(cur, prev), min(cur, prev))); prev = cur; } bool ok = true; sort(a.begin(), a.end(), cmp); for (int i = 1; i < n; ++i) { multiset<pair<int, int>>::iterator it; it = stl.lower_bound(make_pair(a[i][1] + 1, 0)); if (a[i][0] > 1) { if (it != stl.end()) { if (it->first < a[i][2]) { ok = false; break; } } if (!ok) break; it = str.lower_bound(make_pair(a[i][2] + 1, 0)); if (it != str.end()) { if (it->first < a[i][1]) { ok = false; break; } } if (!ok) break; } it = stl.find(make_pair(a[i][1], a[i][2])); stl.erase(it); it = str.find(make_pair(a[i][2], a[i][1])); str.erase(it); } if (ok) cout << "no"; else cout << "yes"; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.*; import java.io.*; import java.util.Scanner; public class luckydivision { public static void main(String args[]){ Scanner inp = new Scanner(System.in); int n = inp.nextInt(); int arr[] = new int[n]; for(int i=0;i<n;++i){ arr[i] = inp.nextInt(); } int flag = 0; for(int i=0;i<n-1;i++){ if(flag == 1){ break; } for(int j=0;j<n-1;j++){ if((Math.min(arr[i], arr[i+1])<Math.min(arr[j], arr[j+1]) && Math.min(arr[j], arr[j+1])<Math.max(arr[i], arr[i+1]) && Math.max(arr[i], arr[i+1])<Math.max(arr[j], arr[j+1])) || (Math.min(arr[j], arr[j+1])<Math.min(arr[i], arr[i+1]) && Math.min(arr[i], arr[i+1])<Math.max(arr[j], arr[j+1]) && Math.max(arr[j], arr[j+1])<Math.max(arr[i], arr[i+1]))){ System.out.print("yes"); flag = 1; break; } } } if(flag == 0){ System.out.print("no"); } } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
###################################################################### # Write your code here import sys from math import * input = sys.stdin.readline #import resource #resource.setrlimit(resource.RLIMIT_STACK, [0x10000000, resource.RLIM_INFINITY]) #sys.setrecursionlimit(0x100000) # Write your code here RI = lambda : [int(x) for x in sys.stdin.readline().strip().split()] rw = lambda : input().strip().split() ls = lambda : list(input().strip()) # for strings to list of char from collections import defaultdict as df import heapq #heapq.heapify(li) heappush(li,4) heappop(li) #import random #random.shuffle(list) infinite = float('inf') ####################################################################### def swap(a,b): t=a a=b b=t n=int(input()) l=RI() s=[] for i in range(n-1): s.append((l[i],l[i+1])) f=0 for i in range(n-1): for j in range(n-1): if(i==j): continue x1,x2=s[i] if(x2<x1): x1,x2=x2,x1 x3,x4=s[j] if(x4<x3): x3,x4=x4,x3 if((x1<x3 and x3<x2 and x2<x4) or (x3<x1 and x1<x4 and x2>x4)): f=1 break if(f==1): break #print(i) if(f==0): print("no") else: print("yes")
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; vector<pair<int, int> > v; vector<int> num; for (int i = 0; i < n; i++) { int a; cin >> a; num.push_back(a); if (i > 0) { int b = num[i - 1]; v.push_back(make_pair(min(a, b), max(a, b))); } } for (int i = 0; i < v.size(); i++) { for (int x = 0; x < v.size(); x++) { if (i == x) continue; pair<int, int> p1 = v[i]; pair<int, int> p2 = v[x]; if (p1.first < p2.first && p1.second < p2.second && p1.second > p2.first) { cout << "yes" << endl; return 0; } if (p2.first < p1.first && p2.second < p1.second && p2.second > p1.first) { cout << "yes" << endl; return 0; } } } cout << "no" << endl; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.awt.Point; import java.io.BufferedReader; import java.io.InputStreamReader; import java.util.StringTokenizer; public class DimaAndContinuousLine { void run() throws Exception { BufferedReader bfd = new BufferedReader( new InputStreamReader(System.in)); int n = Integer.parseInt(bfd.readLine()); int[] arr = new int[n]; StringTokenizer tk = new StringTokenizer(bfd.readLine()); for (int i = 0; i < arr.length; ++i) arr[i] = Integer.parseInt(tk.nextToken()); boolean inter = false; ML : for (int i = 0; i < arr.length - 1; ++i) { int mnI = Math.min(arr[i], arr[i + 1]); int mxI = Math.max(arr[i], arr[i + 1]); Point i1 = new Point(mnI, mxI); for (int j = 0; j < arr.length - 1; ++j) { int mnJ = Math.min(arr[j], arr[j + 1]); int mxJ = Math.max(arr[j], arr[j + 1]); Point i2 = new Point(mnJ, mxJ); if (intersect(i1, i2)) { inter = true; break ML; } } } if (inter) System.out.println("yes"); else System.out.println("no"); } private boolean intersect(Point p1, Point p2) { if ((p2.x > p1.x && p2.x < p1.y && p2.y > p1.y) || (p2.y > p1.x && p2.y < p1.y && p2.x < p1.x)) return true; return false; } public static void main(String[] args) throws Exception { new DimaAndContinuousLine().run(); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int n, a[1111]; cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; for (int i = 0; i < n; i++) for (int j = i + 1; j + 1 < n; j++) { int u = min(a[i], a[i + 1]), v = max(a[i], a[i + 1]); int uu = min(a[j], a[j + 1]), vv = max(a[j], a[j + 1]); if (u > uu) swap(u, uu), swap(v, vv); if (uu > u && uu < v && v < vv) { puts("yes"); return 0; } } puts("no"); }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> typedef struct node { int data; struct node *next; } linklist; linklist *last; linklist *InitList() { linklist *L; L = (linklist *)malloc(sizeof(linklist)); L->next = L; return L; } int InsSortItem(linklist *L, int item) { int j; linklist *p, *t; p = L; j = 1; t = (linklist *)malloc(sizeof(linklist)); t->data = item; while ((p->next != L) && (p->next->data < t->data)) { p = p->next; j++; } t->next = p->next; p->next = t; if (p == last || t->next == last) { last = t; return 1; } if (p == L && last->next == L) { last = t; return 1; } if (t->next == L && L->next == last) { last = t; return 1; } return 0; } int main() { linklist *L; int bo; L = InitList(); last = L; int t, x; scanf("%d", &t); bo = 0; while (t--) { scanf("%d", &x); if (InsSortItem(L, x) == 0) bo = 1; } if (bo == 1) printf("yes\n"); else printf("no\n"); }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import sys import math import itertools import collections def divs(n, start=2): r = [] for i in range(start, int(math.sqrt(n) + 1)): if (n % i == 0): if (n / i == i): r.append(i) else: r.extend([i, n // i]) return r def cdiv(n, k): return n // k + (n % k != 0) def ii(): return int(input()) def mi(): return map(int, input().split()) def li(): return list(map(int, input().split())) def lcm(a, b): return abs(a * b) // math.gcd(a, b) def wr(arr): return ' '.join(map(str, arr)) def revn(n): return int(str(n)[::-1]) def prime(n): if n == 2: return True if n % 2 == 0 or n <= 1: return False sqr = int(math.sqrt(n)) + 1 for d in range(3, sqr, 2): if n % d == 0: return False return True def convn(number, base=3): newnumber = '' while number > 0: newnumber = str(number % base) + newnumber number //= base return newnumber n = ii() x = li() if n < 4: print('no') else: for i in range(n - 1): l, r = min(x[i], x[i + 1]), max(x[i], x[i + 1]) for j in range(i + 2, n - 1): lt, rt = min(x[j], x[j + 1]), max(x[j], x[j + 1]) if lt < l and l < rt and rt < r or l < lt and lt < r and r < rt: exit(print('yes')) print('no')
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.*; import java.util.StringTokenizer; public class A implements Runnable { PrintWriter out; BufferedReader br; StringTokenizer st; public static void main(String[] args) throws IOException { new Thread(new A()).start(); } public String next() throws IOException { while (st == null || !st.hasMoreTokens()) { st = new StringTokenizer(br.readLine()); } return st.nextToken(); } public int nextInt() throws IOException { return Integer.parseInt(next()); } public long nextLong() throws IOException { return Long.parseLong(next()); } public double nextDouble() throws IOException { return Double.parseDouble(next()); } public void run() { try { br = new BufferedReader(new InputStreamReader(System.in)); out = new PrintWriter(new BufferedOutputStream(System.out)); solve(); out.close(); } catch (IOException e) { throw new IllegalStateException(e); } } public void solve() throws IOException { int n = nextInt(); int[] a1 = new int[n]; for (int i = 0; i < n; ++i) { a1[i] = nextInt(); } for (int i = 1; i < n; ++i) { int from = Math.min(a1[i - 1], a1[i]); int to = Math.max(a1[i - 1], a1[i]); for (int j = i; j < n - 1; ++j) { int pFrom = Math.min(a1[j], a1[j + 1]); int pTo = Math.max(a1[j], a1[j + 1]); if (pTo <= from && pFrom <= from || pTo >= to && pFrom >= to || pFrom >= from && pTo <= to || from >= pFrom && to <= pTo){ } else { out.println("yes"); return; } } } out.println("no"); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.BufferedOutputStream; import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.ArrayList; import java.util.List; import java.util.StringTokenizer; public class Main { public static void main(String args[]) throws IOException { BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out)); int n = Integer.parseInt(in.readLine()); StringTokenizer datos = new StringTokenizer(in.readLine()); List<Integer> points = new ArrayList<Integer>(); if(n<3){ System.out.println("no"); return; } points.add(Integer.parseInt(datos.nextToken())); points.add(Integer.parseInt(datos.nextToken())); points.add(Integer.parseInt(datos.nextToken())); while(datos.hasMoreTokens()){ int p1 = points.get(points.size()-1); int p2 = Integer.parseInt(datos.nextToken()); for(int i=0;i<points.size()-1;i++){ if(points.get(i+1)==p1) continue; boolean b1 = inRange(points.get(i), points.get(i+1), p1); boolean b2 = inRange(points.get(i), points.get(i+1), p2); if(b1^b2){ System.out.println("yes"); return; } } points.add(p2); } out.println("no"); out.flush(); } public static boolean inRange(int a, int b,int p) { int a1 = Math.min(a, b); int b1 = Math.max(a, b); return p>=a1 && p<=b1; } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(raw_input()) l = map(int,raw_input().split()) def check(i,j): a,b = min(l[i],l[i+1]),max(l[i],l[i+1]) c,d = min(l[j],l[j+1]),max(l[j],l[j+1]) return (a < c and c < b and b < d) or (c < a and a<d and d < b) ans = "no" for i in xrange(n-1): for j in xrange(i+1,n-1): if check(i,j): ans = "yes" print ans
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.Scanner; import java.lang.*; import static java.lang.Integer.max; import static java.lang.Integer.min; public class DimaandContinuousLine { public static void main(String[] args) { Scanner sc = new Scanner(System.in); int n = sc.nextInt(); int[] a = new int[n]; boolean x=false; for (int i = 0; i < n; i++) { a[i] = sc.nextInt(); } for(int i=0;i<n-1;i++) { for (int j = 0; j < n - 1; j++) { if ((min(a[i], a[i + 1]) < min(a[j], a[j + 1]) && min(a[j], a[j + 1]) < max(a[i], a[i + 1]) && max(a[i], a[i + 1]) < max(a[j], a[j + 1])) || (min(a[j], a[j + 1]) < min(a[i], a[i + 1]) && min(a[i], a[i + 1]) < max(a[j], a[j + 1]) && max(a[j], a[j + 1]) < max(a[i], a[i + 1]))) { x = true; } } } if(x) System.out.println("yes"); else System.out.println("no"); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(input()) ans = "no" f = lambda x, y: x[0] < y[0] < x[1] < y[1] or \ y[0] < x[0] < y[1] < x[1] xs = list(map(int, input().split())) for i in range(1, len(xs) - 1): for j in range(0, i): if f([min(xs[i:i+2]), max(xs[i:i+2])], [min(xs[j:j+2]), max(xs[j:j+2])]): ans = "yes" break print(ans)
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; vector<pair<int, int> > g; int n, m[100000], a, b; bool check(int x11, int x12, int x21, int x22) { if (x21 < x12 && x22 > x12 && x11 < x21 || x21 < x11 && x22 > x11 && x12 > x22) return true; else return false; } int main() { scanf("%d", &n); scanf("%d", &a); for (int i = 1; i < n; i++) { b = a; scanf("%d", &a); g.push_back(make_pair(min(a, b), max(a, b))); for (int i = 0; i < g.size() - 1; i++) if (check(g[i].first, g[i].second, min(a, b), max(a, b))) { printf("yes\n"); return 0; } } printf("no\n"); }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(input()) x = list(map(int, input().split())) x = [sorted(x[i:i+2]) for i in range(n-1)] for c,d in x: for a,b in x: if a < c < b <d: print("yes") exit() print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; template <class T> T sq(T n) { return n * n; } template <class T> T getabs(T n) { return n < 0 ? -n : n; } template <class T> T getmax(T a, T b) { return (a > b ? a : b); } template <class T> T getmin(T a, T b) { return (a < b ? a : b); } template <class T> void setmax(T &a, T b) { if (a < b) a = b; } template <class T> void setmin(T &a, T b) { if (a > b) a = b; } template <class T> T gcd(T a, T b) { return (b != 0 ? gcd<T>(b, a % b) : a); } template <class T> T lcm(T a, T b) { return ((a * b) / gcd(a, b)); } template <class T> T power(T n, T p) { if (p == 0) return 1; return ((p == 1) ? n : (n * power(n, p - 1))); } vector<int> pset(1000); void initSet(int _size) { pset.resize(_size); for (__typeof(_size) i = 0; i < (_size); i++) pset[i] = i; } int findSet(int i) { return (pset[i] == i) ? i : (pset[i] = findSet(pset[i])); } void unionSet(int i, int j) { pset[findSet(i)] = findSet(j); } bool isSameSet(int i, int j) { return findSet(i) == findSet(j); } int n; void Solve() { scanf("%d", &n); if (n == 1) { printf("no\n"); return; } vector<int> a(n); for (__typeof(n) i = 0; i < (n); i++) scanf("%d", &a[i]); bool yes = false; for (int i = 0; i + 1 < n; i++) { for (int j = i + 1; j + 1 < n; j++) { int l1 = min(a[i], a[i + 1]), r1 = max(a[i], a[i + 1]); int l2 = min(a[j], a[j + 1]), r2 = max(a[j], a[j + 1]); if (!(l1 <= l2 && r2 <= r1 || l2 <= l1 && r1 <= r2) && !(r2 <= l1 || r1 <= l2)) { yes = true; } } } printf("%s\n", yes ? "yes" : "no"); } int main() { Solve(); return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
def main(): n = int(input()) l, a = [], 0 for b in map(int, input().split()): l.append((a, b) if a < b else(b, a)) a = b l[0] = ((9999999, 0)) l.sort() del l[-1] for i, (c, d) in enumerate(l): for j in range(i): a, b = l[j] if a < c < b < d: print('yes') return print('no') if __name__ == '__main__': main()
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n=int(input()) A=[int(x) for x in input().split()] for i in range(n-1): Main=[A[i],A[i+1]] Main.sort() for j in range(i+1,n-1): SubMain=[A[j],A[j+1]] SubMain.sort() NewList=[Main,SubMain] NewList.sort() if NewList[0][0]==NewList[1][0]: continue elif NewList[0][1]>NewList[1][0] and NewList[1][1]>NewList[0][1]: print("yes") exit() print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int n; int a[1015]; cin >> n; for (int i = 1; i <= n; i++) { cin >> a[i]; } int intersec = 0; for (int i = 1; i < n; i++) { for (int j = 1; j < n && abs(i - j) > 1; j++) { int A = min(a[i], a[i + 1]), B = max(a[i], a[i + 1]); int C = min(a[j], a[j + 1]), D = max(a[j], a[j + 1]); if (A < C && C < B && B < D) intersec = 1; if (C < A && A < D && D < B) intersec = 1; } } cout << ((intersec == 1) ? "yes" : "no") << endl; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(input()) points = list(map(int,input().split(" "))) segments = [] for i in range(len(points)): if i != len(points) - 1: segments.append((points[i],points[i+1])) r = "no" for seg1 in segments: for seg2 in segments: if seg1==seg2: continue x1,x2,x3,x4 = (min(seg1),max(seg1),min(seg2),max(seg2)) if (x1<x3<x2<x4) or (x3<x1<x4<x2): r = "yes" break print(r)
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Arrays; import java.util.StringTokenizer; public class A { //IO static BufferedReader f; static PrintWriter out; static StringTokenizer st; final public static void main( String[] args ) throws IOException { f = new BufferedReader( new InputStreamReader( System.in ) ); out = new PrintWriter( System.out ); solve(); f.close(); out.close(); System.exit( 0 ); } final public static void solve() throws IOException { int N = nextInt(); Semicircle[] circles = new Semicircle[ N-1 ]; int lastPoint = nextInt(); for ( int i=1 ; i<N ; ++i ) { int nextPoint = nextInt(); circles[ i-1 ] = new Semicircle( lastPoint , nextPoint ); lastPoint = nextPoint; } Arrays.sort( circles ); for ( int i=0 ; i<N-1 ; ++i ) { for ( int j=i+1 ; j<N-1 ; ++j ) { if ( circles[ i ].m_start < circles[ j ].m_start && circles[ j ].m_start < circles[ i ].m_end ) { if ( circles[ j ].m_end > circles[ i ].m_end ) { System.out.println( "yes" ); System.exit( 0 ); } } if ( circles[ j ].m_start < circles[ i ].m_end && circles[ i ].m_end < circles[ j ].m_end ) { if ( circles[ j ].m_start < circles[ i ].m_start ) { System.out.println( "yes" ); System.exit( 0 ); } } } } System.out.println( "no" ); System.exit( 0 ); } static class Semicircle implements Comparable< Semicircle >{ public final int m_start; public final int m_end; public Semicircle( int start , int end ) { if ( start > end ) { int tmp = start; start = end; end = tmp; } this.m_start = start; this.m_end = end; } @Override public int compareTo(Semicircle arg0) { return new Integer( this.m_start ).compareTo( arg0.m_start ); } @Override public String toString() { return "(" + this.m_start + ", " + this.m_end + ")"; } } final public static String nextToken() throws IOException { while ( st == null || !st.hasMoreTokens() ) { st = new StringTokenizer( f.readLine() ); } return st.nextToken(); } final public static int nextInt() throws IOException { return Integer.parseInt( nextToken() ); } final public static long nextLong() throws IOException { return Long.parseLong( nextToken() ); } final public static double nextDouble() throws IOException { return Double.parseDouble( nextToken() ); } final public static boolean nextBoolean() throws IOException { return Boolean.parseBoolean( nextToken() ); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; vector<long int> v; int main() { int i, j, n; cin >> n; long int k; for (i = 0; i < n; i++) { cin >> k; v.push_back(k); } long int a, b; int q = 0; for (i = 0; i < v.size() - 1; i++) { b = max(v[i], v[i + 1]); a = min(v[i], v[i + 1]); for (j = 0; j < v.size() - 1; j++) { if (a < v[j] && v[j] < b) { if (v[j + 1] < a || v[j + 1] > b) { q++; cout << "yes"; break; } } if (a < v[j + 1] && v[j + 1] < b) { if (v[j] < a || v[j] > b) { q++; cout << "yes"; break; } } } if (q > 0) { break; } } if (q == 0) { cout << "no"; } return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int( input() ) l = [int(x) for x in input().split()] found = False if n<4: print("no") else: for i in range(n-2): a= min(l[i], l[i+1]) b= max(l[i], l[i+1]) for j in range(i+1, n-1, 1): c=min(l[j], l[j+1]) d=max(l[j],l[j+1]) if c<a and a<d and b>d: found = True break if c<b and b<d and a<c: found = True break if found: break if found: print("yes") else: print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(input()) x = [int(x) for x in input().split()] p = x[0] l = [] for i in range(1, n): for a, b in l[:-1]: if (a < x[i] < b) ^ (a < p < b): print('yes') exit() l.append((min(p, x[i]), max(p, x[i]))) p = x[i] print('no')
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
N = int(input()) array = list(map(int, input().split())) points = [] for i in range(N - 1): points.append(sorted((array[i], array[i+1]))) #print(points) for i in points: for j in points: if i[0] < j[0] and j[1] > i[1] > j[0]: #print(i, j) print("yes") exit(0) print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.Arrays; import java.util.Scanner; public class Young { public static void main(String[] args){ Scanner sc = new Scanner(System.in); int n = sc.nextInt(); int tab[] = new int[n]; boolean res = false; for(int i =0; i<n; i++) { tab[i] = sc.nextInt(); } for(int i = 0; i<n-1 ; i++) { for(int j = i+2; j<n-1 ; j++) { if(tab[i] > Math.min(tab[j], tab[j + 1]) && tab[i] < Math.max(tab[j], tab[j + 1])) if(tab[i + 1] < Math.min(tab[j], tab[j + 1]) || tab[i + 1] > Math.max(tab[j] , tab[j + 1])) res = true; if(tab[j] > Math.min(tab[i], tab[i + 1]) && tab[j] < Math.max(tab[i], tab[i + 1])) if(tab[j + 1] < Math.min(tab[i], tab[i + 1]) || tab[j + 1] > Math.max(tab[i] , tab[i + 1])) res = true; if(tab[i + 1] > Math.min(tab[j], tab[j + 1]) && tab[i + 1] < Math.max(tab[j], tab[j + 1])) if(tab[i] < Math.min(tab[j], tab[j + 1]) || tab[i] > Math.max(tab[j] , tab[j + 1])) res = true; if(tab[j + 1] > Math.min(tab[i], tab[i + 1]) && tab[j + 1] < Math.max(tab[i], tab[i + 1])) if(tab[j] < Math.min(tab[i], tab[i + 1]) || tab[j] > Math.max(tab[i] , tab[i + 1])) res = true; } } System.out.println(res ? "yes" : "no"); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); std::ios::sync_with_stdio(false); int n; cin >> n; long long A[n]; for (int i = 0; i < n; i++) { cin >> A[i]; } if (n == 1) { cout << "no"; return 0; } for (int i = 1; i < n; i++) { long long nim1 = min(A[i], A[i - 1]), xam1 = max(A[i], A[i - 1]); for (int j = 2; j < n; j++) { long long nim2 = min(A[j], A[j - 1]), xam2 = max(A[j], A[j - 1]); if (nim2 < nim1 && xam2 > nim1 && xam2 < xam1) { cout << "yes"; return 0; } else if (nim2 > nim1 && nim2 < xam1 && xam2 > xam1) { cout << "yes"; return 0; } } } cout << "no"; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
/*input 1 0 */ import java.util.*; import java.lang.*; import java.io.*; public class Main { static PrintWriter out; static int MOD = 1000000007; static FastReader scan; /*-------- I/O using short named function ---------*/ public static String ns(){return scan.next();} public static int ni(){return scan.nextInt();} public static long nl(){return scan.nextLong();} public static double nd(){return scan.nextDouble();} public static String nln(){return scan.nextLine();} public static void p(Object o){out.print(o);} public static void ps(Object o){out.print(o + " ");} public static void pn(Object o){out.println(o);} /*-------- for output of an array ---------------------*/ static void iPA(int arr []){ StringBuilder output = new StringBuilder(); for(int i=0; i<arr.length; i++)output.append(arr[i] + " ");out.println(output); } static void lPA(long arr []){ StringBuilder output = new StringBuilder(); for(int i=0; i<arr.length; i++)output.append(arr[i] + " ");out.println(output); } static void sPA(String arr []){ StringBuilder output = new StringBuilder(); for(int i=0; i<arr.length; i++)output.append(arr[i] + " ");out.println(output); } static void dPA(double arr []){ StringBuilder output = new StringBuilder(); for(int i=0; i<arr.length; i++)output.append(arr[i] + " ");out.println(output); } /*-------------- for input in an array ---------------------*/ static void iIA(int arr[]){ for(int i=0; i<arr.length; i++)arr[i] = ni(); } static void lIA(long arr[]){ for(int i=0; i<arr.length; i++)arr[i] = nl(); } static void sIA(String arr[]){ for(int i=0; i<arr.length; i++)arr[i] = ns(); } static void dIA(double arr[]){ for(int i=0; i<arr.length; i++)arr[i] = nd(); } /*------------ for taking input faster ----------------*/ static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader(new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } // Method to check if x is power of 2 static boolean isPowerOfTwo (int x) { return x!=0 && ((x&(x-1)) == 0);} //Method to return lcm of two numbers static int gcd(int a, int b){return a==0?b:gcd(b % a, a); } // method to return LCM of two numbers static int lcm(int a, int b){return (a / gcd(a, b)) * b;} //Method to count digit of a number static int countDigit(long n){return (int)Math.floor(Math.log10(n) + 1);} //Method to find the max in an array static int getMax(int arr[]){ int max = arr[0]; for(int i=0; i<arr.length; i++){ max = arr[i]>max?arr[i]:max; } return max; } //Method to find the min in an array static int getMin(int arr[]){ int min = arr[0]; for(int i=0; i<arr.length; i++){ min = min>arr[i]?arr[i]:min; } return min; } //Method for sorting static void ruffle_sort(int[] a) { //shandom_ruffle Random r=new Random(); int n=a.length; for (int i=0; i<n; i++) { int oi=r.nextInt(n); int temp=a[i]; a[i]=a[oi]; a[oi]=temp; } //sort Arrays.sort(a); } public static void main (String[] args) throws java.lang.Exception { OutputStream outputStream =System.out; out =new PrintWriter(outputStream); scan =new FastReader(); //for fast output sometimes StringBuilder sb = new StringBuilder(); int n = ni(); int arr[] = new int[n]; iIA(arr); TreeSet<Integer> set = new TreeSet<Integer>(); set.add(arr[0]); if(n>1) set.add(arr[1]); //set.add(arr[2]); set.add(Integer.MAX_VALUE); set.add(Integer.MIN_VALUE); int first=0, second=0; if(n>1){ first = Math.min(arr[0], arr[1]); second = Math.max(arr[0], arr[1]); } boolean check = false; for(int i=3; i<n; i++){ int min = set.ceiling(arr[i-1]); int max = set.ceiling(arr[i]); //pn(min + " " + arr[i]); //pn(first + " " + second); if(min != Integer.MAX_VALUE){ if(min<arr[i] && (arr[i-1]>first || arr[i]<second)){ //pn(1); check = true; break; } } if(max != Integer.MAX_VALUE){ if(max<arr[i-1] && (arr[i-1]<second || arr[i]>first)){ //pn(2); check = true; break; } } set.add(arr[i-1]); first = Math.min(first, arr[i-1]); second = Math.max(second, arr[i-1]); } if(check) pn("yes"); else pn("no"); out.close(); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
length = int(input()) sequence = list(map(int, input().split())) if length <= 3: print('no') else: for i in range(length - 1): w, x = sorted([sequence[i], sequence[i + 1]]) for j in range(length - 1): y, z = sorted([sequence[j], sequence[j + 1]]) if w < y < x < z or y < w < z < x: print('yes') exit() print('no')
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n=int(input()) l=list(map(int,input().split())) for i in range(1,n) : for j in range(i,0,-1) : x,x1=max(l[i],l[i-1]),min(l[i],l[i-1]) y,y1=max(l[j],l[j-1]),min(l[j],l[j-1]) if x1>y1 and x1<y and x>y or x1<y1 and y1<x and x<y : print('yes') exit() print('no')
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; void swap(int *a, int *b) { int temp; temp = *a; *a = *b; *b = temp; } int main() { int n; cin >> n; int x1, x2, x3, x4; int array[n]; int i = 0, j = 0; for (i = 0; i < n; i += 1) cin >> array[i]; bool ans = false; for (i = 0; i < n; i += 1) { if (i + 1 >= n) break; x1 = array[i]; x2 = array[i + 1]; if (x1 > x2) swap(&x1, &x2); for (j = 0; j < n; j += 1) { if (j + 1 >= n) break; x3 = array[j]; x4 = array[j + 1]; if (x3 > x4) swap(&x3, &x4); if (x1 < x3 and x3 < x2 and x2 < x4) { ans = true; break; } else if (x3 < x1 and x1 < x4 and x4 < x2) { ans = true; break; } } } if (ans) cout << "yes" << endl; else cout << "no" << endl; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.IOException; import java.io.PrintStream; import java.io.PrintWriter; import java.io.StreamCorruptedException; import java.math.BigInteger; import java.util.ArrayList; import java.util.Arrays; import java.util.InputMismatchException; import java.util.LinkedList; import java.util.PriorityQueue; import java.util.TreeSet; import java.util.regex.Matcher; import java.util.regex.Pattern; public class Solution { public static void main(String[] args) { new Solution().solve(); } PrintWriter out; public void solve() { out=new PrintWriter(System.out); int n=in.nextInt(); int[] arr=new int[n]; for(int i=0;i<n;i++) { arr[i]=in.nextInt(); } if(n==1 ||n==2 || n==3) { System.out.println("no"); System.exit(0); } for(int i=0;i<n-1;i++) { int lower; int higher; if(arr[i]<arr[i+1]) { lower=arr[i]; higher=arr[i+1]; } else { lower=arr[i+1]; higher=arr[i]; } for(int j=0;j<n-1;j++) { int lower1; int higher1; if(arr[j]<arr[j+1]) { lower1=arr[j]; higher1=arr[j+1]; } else { lower1=arr[j+1]; higher1=arr[j]; } if(lower1<lower && higher1>lower && higher1<higher) { System.out.println("yes"); System.exit(0); } else if(lower1>lower && lower1<higher && higher1>higher) { System.out.println("yes"); System.exit(0); } } } System.out.println("no"); out.close(); } FasterScanner in=new FasterScanner(); public class FasterScanner { private byte[] buf = new byte[1024]; private int curChar; private int numChars; public int read() { if (numChars == -1) throw new InputMismatchException(); if (curChar >= numChars) { curChar = 0; try { numChars = System.in.read(buf); } catch (IOException e) { throw new InputMismatchException(); } if (numChars <= 0) return -1; } return buf[curChar++]; } public String nextLine() { int c = read(); while (isSpaceChar(c)) c = read(); StringBuilder res = new StringBuilder(); do { res.appendCodePoint(c); c = read(); } while (!isEndOfLine(c)); return res.toString(); } public String nextString() { int c = read(); while (isSpaceChar(c)) c = read(); StringBuilder res = new StringBuilder(); do { res.appendCodePoint(c); c = read(); } while (!isSpaceChar(c)); return res.toString(); } public long nextLong() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } long res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c - '0'; c = read(); } while (!isSpaceChar(c)); return res * sgn; } public int nextInt() { int c = read(); while (isSpaceChar(c)) c = read(); int sgn = 1; if (c == '-') { sgn = -1; c = read(); } int res = 0; do { if (c < '0' || c > '9') throw new InputMismatchException(); res *= 10; res += c - '0'; c = read(); } while (!isSpaceChar(c)); return res * sgn; } public int[] nextIntArray(int n) { int[] arr = new int[n]; for (int i = 0; i < n; i++) { arr[i] = nextInt(); } return arr; } public long[] nextLongArray(int n) { long[] arr = new long[n]; for (int i = 0; i < n; i++) { arr[i] = nextLong(); } return arr; } private boolean isSpaceChar(int c) { return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; } private boolean isEndOfLine(int c) { return c == '\n' || c == '\r' || c == -1; } } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import sys n = int(input()) inp = input().split() x = [int(p) for p in inp] for i in range(0,n-2): for j in range(i+1,n-1): # (i,i+1) vs. (j,j+1) al = min(x[i],x[i+1]) ar = max(x[i],x[i+1]) #print(i,j,al,ar,x[j],x[j+1]) ins1 = al<x[j] and x[j]<ar and (x[j+1]<al or x[j+1]>ar) ins2 = al<x[j+1] and x[j+1]<ar and (x[j]<al or x[j]>ar) if ins1 or ins2: print("yes") sys.exit() """ x = [] for i in range(0,n): x.append([int(inp[i]),i+1]) x.sort() #print(x) #for i in range(0,n): # print(x[i][1]) # be = 0 en = n-1 cur = 1 while be != en: if x[be][1]==cur: cur += 1 be += 1 elif x[en][1]==cur: cur += 1 en -= 1 else: print("yes") sys.exit() """ print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int betw(int z, int x, int y) { return z < max(x, y) && z > min(x, y); } int main() { int a[1010], n; cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; bool flag = false; for (int i = 1; i < n; i++) for (int j = 1; j < n; j++) { if (a[j] == a[i] || a[j] == a[i + 1] || a[j + 1] == a[i] || a[j + 1] == a[i + 1]) continue; int f = betw(a[j], a[i], a[i + 1]) ^ betw(a[j + 1], a[i], a[i + 1]); if (f) flag = true; } if (flag) cout << "yes" << endl; else cout << "no" << endl; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(input()) l = list(map(int, input().split())) result = True for i in range(n-2): li, ri = min(l[i], l[i+1]), max(l[i], l[i+1]) for j in range(i+2, n-1): lj, rj = min(l[j], l[j+1]), max(l[j], l[j+1]) if (li < lj < ri and not(li < rj < ri)) or (li < rj < ri and not(li < lj < ri)): result = False break if (lj < ri < rj and not(lj < li < rj)) or (lj < li < rj and not(lj < ri < rj)): result = False break if not result: break if result: print("no") else: print("yes")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
/* * To change this template, choose Tools | Templates * and open the template in the editor. */ import java.io.*; import java.util.*; /** * @author Assassin */ public class A { private BufferedReader reader; private PrintWriter out; private StringTokenizer tokenizer; //private final String filename = "filename"; private void init(InputStream input, OutputStream output) throws IOException { reader = new BufferedReader(new InputStreamReader(input)); out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(output))); //reader = new BufferedReader(new FileReader(filename + ".in")); //out = new PrintWriter(new FileWriter(filename + ".out")); tokenizer = new StringTokenizer(""); } private String nextLine() throws IOException { return reader.readLine(); } private String next() throws IOException { while (!tokenizer.hasMoreTokens()) { tokenizer = new StringTokenizer(nextLine()); } return tokenizer.nextToken(); } private int nextInt() throws IOException { return Integer.parseInt(next()); } private long nextLong() throws IOException { return Long.parseLong(next()); } private double nextDouble() throws IOException { return Double.parseDouble(next()); } private void run() throws IOException { init(System.in, System.out); //long startTime = System.currentTimeMillis(); int n = nextInt(); if (n == 1) { out.println("no"); } else { int[] x = new int[n]; for (int i = 0; i < n; i++) { x[i] = nextInt(); } boolean yes = false; for (int i = 0; i < n - 1; i++) { for (int j = 0; j < n - 1; j++) { int l1 = Math.min(x[i], x[i + 1]); int r1 = Math.max(x[i], x[i + 1]); int l2 = Math.min(x[j], x[j + 1]); int r2 = Math.max(x[j], x[j + 1]); if ((l1 < l2 && l2 < r1 && r1 < r2) || (l2 < l1 && l1 < r2 && r2 < r1)) { yes = true; break; } if (yes) { break; } } } if (yes) { out.println("yes"); } else { out.println("no"); } } //long runTime = System.currentTimeMillis() - startTime; //out.write(runTime + "\n"); out.close(); System.exit(0); } public static void main(String[] args) throws IOException { new A().run(); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; if (n <= 2) { cout << "no"; return 0; } vector<pair<int, int>> z; int a, b, c; cin >> a; cin >> b; for (int i = 0; i < n - 2; i++) { cin >> c; for (int j = 0; j < z.size(); j++) { if (c >= z[j].first && c <= z[j].second) { cout << "yes"; return 0; } } if ((c < a && c > b) || (c > a && c < b)) { pair<int, int> tmp; tmp.first = -1000001; ; tmp.second = min(a, b); z.push_back(tmp); tmp.first = max(a, b); tmp.second = 1000001; z.push_back(tmp); a = b; b = c; continue; } if ((c < a && c < b) || (c > a && c > b)) { pair<int, int> tmp; tmp.first = min(a, b); tmp.second = max(a, b); z.push_back(tmp); a = b; b = c; continue; } cout << "yes"; return 0; } cout << "no"; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; const int maxN = 1e3 + 100; int a[maxN]; bool intersect(int a2, int a1, int b2, int b1) { if (b1 > a1 && b1 < a2) { if (b2 > a2 || b2 < a1) return true; else return false; } else if (b2 > a1 && b2 < a2) { if (b1 < a1 || b1 > a2) return true; else return false; } return false; } int main() { bool flag = false; int n; cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; for (int i = 1; i < n; i++) for (int j = 1; j < n; j++) if (fabs(j - i) >= 2) if (intersect(max(a[i], a[i + 1]), min(a[i + 1], a[i]), max(a[j], a[j + 1]), min(a[j + 1], a[j]))) flag = true; if (flag) cout << "yes"; else cout << "no"; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.Scanner; import java.io.OutputStream; import java.io.IOException; import java.io.PrintWriter; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top */ public class Main { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; Scanner in = new Scanner(inputStream); PrintWriter out = new PrintWriter(outputStream); TaskA solver = new TaskA(); solver.solve(1, in, out); out.close(); } } class TaskA { public void solve(int testNumber, Scanner in, PrintWriter out) { int n=in.nextInt(); int[] a=new int[n]; for (int i = 0; i < n; i++) { a[i]=in.nextInt(); } boolean ok=true; for (int i=1;i<n-1;i++){ for (int j=0;j<i;j++){ if ((inside(a[i],a[j],a[j+1])&&outside(a[i+1],a[j],a[j+1]))||(inside(a[i+1],a[j],a[j+1])&&outside(a[i],a[j],a[j+1]))) { ok=false; // System.err.println(i+"+"+j); } } } if (ok) out.print("no"); else out.print("yes"); } private boolean inside(int a,int b,int c){ return (long)(a-b)*(a-c)<0; } private boolean outside(int a,int b,int c){ return (long)(a-b)*(a-c)>0; } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n=int(input()) l=list(map(int,input().split())) if n<4: print("no") else: prev=l[1] ans="no" for i in range(2,n): for j in range(1,n): if min(l[j],l[j-1])<min(prev,l[i])<max(l[j],l[j-1]) and max(l[i],prev)>max(l[j],l[j-1]): ans="yes" break if min(l[j],l[j-1])<max(prev,l[i])<max(l[j],l[j-1]) and min(l[i],prev)<min(l[j],l[j-1]): ans="yes" break if ans=="yes": break prev=l[i] print(ans)
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; const long long N = 1e3 + 5; long long n; long long x[N]; map<long long, long long> last; bool intersect(long long a, long long b, long long c, long long d) { vector<pair<long long, long long> > v; v.push_back({a, 1}); v.push_back({b, 1}); v.push_back({c, 2}); v.push_back({d, 2}); map<long long, long long> m; m[a]++; m[b]++; m[c]++; m[d]++; if (m.size() < 4) return 0; sort(v.begin(), v.end()); if (v[0].second == v[2].second) return 1; return 0; } int32_t main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; cin >> n; for (long long i = 1; i <= n; i++) cin >> x[i]; for (long long i = 1; i <= n - 1; i++) { for (long long j = 1; j <= n - 1; j++) { if (i == j) continue; if (intersect(x[i], x[i + 1], x[j], x[j + 1])) { cout << "yes"; return 0; } } } cout << "no"; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int between(int a, int b, int c) { return a > b and a < c; } int main() { int n, X[1001]; vector<pair<int, int> > v; cin >> n; for (int i = 0; i < n; i++) cin >> X[i]; if (n == 1) cout << "no\n"; else { int last = X[0]; for (int i = 1; i < n; i++) { if (v.size() > 1) { for (int j = 0; j < v.size() - 1; j++) { if ((between(last, v[j].first, v[j].second) and !between(X[i], v[j].first, v[j].second)) || (!between(last, v[j].first, v[j].second) and between(X[i], v[j].first, v[j].second))) { cout << "yes\n"; goto salir; } } } if (X[i] < last) v.push_back(make_pair(X[i], last)); else if (X[i] > last) v.push_back(make_pair(last, X[i])); last = X[i]; } cout << "no\n"; salir:; } return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; vector<pair<int, int> > v; vector<int> points; int main() { int n, e; cin >> n; for (int i = 0; i < n; ++i) { cin >> e; points.push_back(e); } for (int i = 1; i < n; ++i) { if (points[i - 1] < points[i]) v.push_back(pair<int, int>(points[i - 1], points[i])); else v.push_back(pair<int, int>(points[i], points[i - 1])); } bool f = 0; for (int i = 0; i < v.size(); ++i) { for (int j = i + 1; j < v.size(); ++j) { if (v[i].first == v[j].first || v[i].second == v[j].second) continue; if (v[i].first < v[j].first && v[j].first < v[i].second && v[i].second < v[j].second) f = 1; if (v[j].first < v[i].first && v[i].first < v[j].second && v[j].second < v[i].second) f = 1; } } if (f) cout << "yes"; else cout << "no"; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = raw_input() n = int(n) s = raw_input() ss = s.split(' ') for i in xrange(len(ss)): ss[i] = int(ss[i]) if len(ss) <= 2: print 'no' else : lst = [] #print ss for i in xrange(len(ss) - 1): #print i if ss[i] < ss[i + 1]: lst.append((ss[i], ss[i + 1],)) else : lst.append((ss[i+1], ss[i],)) ret = False for i in xrange(len(lst)): for j in xrange(i + 1, len(lst)): if not ((lst[i][1] <= lst[j][0] or lst[j][1] <= lst[i][0]) or (lst[i][0] >= lst[j][0] and lst[i][1] <= lst[j][1]) \ or (lst[j][0] >= lst[i][0] and lst[j][1] <= lst[i][1])): ret = True if ret: print 'yes' else : print 'no'
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
//package c208; import java.util.Scanner; public class q1 { public static void main(String args[]) { Scanner s=new Scanner(System.in); int n=s.nextInt(); int a[]=new int[n]; boolean ans=false; for(int i=0;i<n;i++) { a[i]=s.nextInt(); } for(int i=0;i<n-1;i++) { int x3=Math.min(a[i],a[i+1]); int x4=Math.max(a[i],a[i+1]); for(int j=0;j<i;j++) { int x1=Math.min(a[j],a[j+1]); int x2=Math.max(a[j],a[j+1]); //System.out.println(i+" "+j+" "+x1+" "+x2+" "+x3+" "+x4); if(x1<x3&&x3<x2&&x2<x4) {//System.out.println(4); ans=true; } if(x3<x1 && x1<x4 && x4<x2) {//System.out.println(4); ans=true; } } } if(ans) System.out.println("yes"); else System.out.println("no"); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(input()) pre = 999999 segs = [] for x in map(int, input().split()): if pre != 999999: segs.append((min(pre, x), max(pre, x))) pre = x segs.sort() intersect = False for i in range(0, len(segs)): for j in range(i, len(segs)): if segs[i][0] < segs[j][0] < segs[i][1] < segs[j][1]: intersect = True break print('yes' if intersect else 'no')
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.*;import java.io.*;import java.math.*; public class Dima { public static void process()throws IOException { int n=ni(); int[]A=nai(n); if(n<4) { pn("no"); return; } for(int i=3;i<n;i++) { for(int j=0;j<i-1;j++) { int x1=Math.min(A[j],A[j+1]); int y1=Math.max(A[j],A[j+1]); int x2=Math.min(A[i],A[i-1]); int y2=Math.max(A[i],A[i-1]); if(check(x1,y1,x2,y2)) { pn("yes"); return; } } } pn("no"); } static boolean check(int x1,int y1,int x2,int y2) { if(y2>x1 && y2<y1 && x2<x1) return true; if(x2>x1 && x2<y1 && y2>y1) return true; return false; } static AnotherReader sc; static PrintWriter out; public static void main(String[]args)throws IOException { boolean oj = System.getProperty("ONLINE_JUDGE") != null; if(oj){sc=new AnotherReader();out=new PrintWriter(System.out);} else{sc=new AnotherReader(100);out=new PrintWriter("output.txt");} int t=1; // t=ni(); while(t-->0) {process();} out.flush();out.close(); } static void pn(Object o){out.println(o);} static void p(Object o){out.print(o);} static void pni(Object o){out.println(o);out.flush();} static int ni()throws IOException{return sc.nextInt();} static long nl()throws IOException{return sc.nextLong();} static double nd()throws IOException{return sc.nextDouble();} static String nln()throws IOException{return sc.nextLine();} static int[] nai(int N)throws IOException{int[]A=new int[N];for(int i=0;i!=N;i++){A[i]=ni();}return A;} static long[] nal(int N)throws IOException{long[]A=new long[N];for(int i=0;i!=N;i++){A[i]=nl();}return A;} static long gcd(long a, long b)throws IOException{return (b==0)?a:gcd(b,a%b);} static int gcd(int a, int b)throws IOException{return (b==0)?a:gcd(b,a%b);} static int bit(long n)throws IOException{return (n==0)?0:(1+bit(n&(n-1)));} ///////////////////////////////////////////////////////////////////////////////////////////////////////// static class AnotherReader{BufferedReader br; StringTokenizer st; AnotherReader()throws FileNotFoundException{ br=new BufferedReader(new InputStreamReader(System.in));} AnotherReader(int a)throws FileNotFoundException{ br = new BufferedReader(new FileReader("input.txt"));} String next()throws IOException{ while (st == null || !st.hasMoreElements()) {try{ st = new StringTokenizer(br.readLine());} catch (IOException e){ e.printStackTrace(); }} return st.nextToken(); } int nextInt() throws IOException{ return Integer.parseInt(next());} long nextLong() throws IOException {return Long.parseLong(next());} double nextDouble()throws IOException { return Double.parseDouble(next()); } String nextLine() throws IOException{ String str = ""; try{ str = br.readLine();} catch (IOException e){ e.printStackTrace();} return str;}} ///////////////////////////////////////////////////////////////////////////////////////////////////////////// }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int n, a1, a2, b1, b2; int a[1005]; bool check(int i, int j) { a1 = a[i]; b1 = a[i + 1]; a2 = a[j]; b2 = a[j + 1]; if (a1 > b1) swap(a1, b1); if (a2 > b2) swap(a2, b2); if ((a1 > a2 && a1 < b2 && b1 > b2) || (a1 < a2 && b1 > a2 && b1 < b2)) return 1; else return 0; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", &a[i]); for (int i = 0; i < n - 1; i++) for (int j = i + 1; j < n - 1; j++) if (check(i, j)) { printf("yes\n"); exit(0); } printf("no\n"); return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
def Intersect(aa,bb,xx,yy): a=min(aa,bb) b=max(aa,bb) x=min(xx,yy) y=max(xx,yy) if(a>=x and b<=y): return False if(x>=a and y<=b): return False if(b<=x): return False if(y<=a): return False return True N=int(input()) case=False L=list(map(int,input().split())) for i in range(N-1): for j in range(i+1,N-1): if(Intersect(L[i],L[i+1],L[j],L[j+1])): case=True if(case): print("yes") else: print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(input()) arr = list(map(int, input().split())) flag = 0 for i in range(n-1): for j in range(i+1,n-1): a,b = min(arr[i],arr[i+1]),max(arr[i],arr[i+1]) c,d = min(arr[j],arr[j+1]),max(arr[j],arr[j+1]) if a<c<b<d or c<a<d<b: flag=1 break if flag==1: break if flag==0: print("no") else: print("yes")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.File; import java.io.FileInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintStream; import java.io.BufferedOutputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class Main { public static void main(String[] args) { if (args.length > 0 && args[0].toLowerCase().equals("local")) { try { System.setIn(new FileInputStream("input.txt")); System.setOut(new PrintStream(new File("output.txt"))); } catch (IOException exc) { } } Task task = new Task(); task.solve(); } public static class Task { static final long MOD = (long) 1e9 + 7; static final PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out)); public void solve() { try { Scan sc = new Scan(); int n = (int) sc.scanLong(); int[] arr = new int[n]; int[] next = new int[n]; for (int i = 0; i < n; ++i) { int curr = (int) sc.scanLong(); arr[i] = curr; if (i > 0) next[i - 1] = curr; } next[n - 1] = arr[n - 1]; for (int i = 0; i < n; ++i) { int curr1 = arr[i]; int next1 = next[i]; if (curr1 > next1) { int temp = curr1; curr1 = next1; next1 = temp; } for (int j = i + 1; j < n; ++j) { int curr2 = arr[j]; int next2 = next[j]; if (curr2 > next2) { int temp = curr2; curr2 = next2; next2 = temp; } if (curr2 > curr1 && curr2 < next1 && (next2 > next1 || next2 < curr1)) { out.println("yes"); return; } if (next2 > curr1 && next2 < next1 && (curr2 < curr1 || curr2 > next1)) { out.println("yes"); return; } } } out.println("no"); } finally { out.close(); } } private void debug(Object... x) { StringBuilder sb = new StringBuilder(); for (Object o : x) sb.append(String.valueOf(o)).append(" "); out.println(sb); } } public static class Scan { private byte[] buf = new byte[1024]; private int index; private InputStream in; private int total; public Scan() { in = System.in; } public int scan() { if (total < 0) throw new InputMismatchException(); if (index >= total) { index = 0; try { total = in.read(buf); } catch (IOException e) { throw new RuntimeException(e); } if (total <= 0) return -1; } return buf[index++]; } public long scanLong() { long integer = 0; int n = scan(); while (isWhiteSpace(n)) n = scan(); int neg = 1; if (n == '-') { neg = -1; n = scan(); } while (!isWhiteSpace(n)) { if (n >= '0' && n <= '9') { integer *= 10; integer += n - '0'; n = scan(); } else throw new InputMismatchException(); } return neg * integer; } public double scanDouble() { double doub = 0; int n = scan(); while (isWhiteSpace(n)) n = scan(); int neg = 1; if (n == '-') { neg = -1; n = scan(); } while (!isWhiteSpace(n) && n != '.') { if (n >= '0' && n <= '9') { doub *= 10; doub += n - '0'; n = scan(); } else throw new InputMismatchException(); } if (n == '.') { n = scan(); double temp = 1; while (!isWhiteSpace(n)) { if (n >= '0' && n <= '9') { temp /= 10; doub += (n - '0') * temp; n = scan(); } else throw new InputMismatchException(); } } return doub * neg; } public String scanString() { StringBuilder sb = new StringBuilder(); int n = scan(); while (isWhiteSpace(n)) n = scan(); while (!isWhiteSpace(n)) { sb.append((char) n); n = scan(); } return sb.toString(); } public char scanChar() { int n = scan(); while (isWhiteSpace(n)) n = scan(); return (char) n; } private boolean isWhiteSpace(int n) { if (n == ' ' || n == '\n' || n == '\r' || n == '\t' || n == -1) return true; return false; } } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = input() a = map(int,raw_input().split()) ans = "no" for i in range(n-1): for j in range(n-1): x1,x2 = sorted([a[i], a[i+1]]) x3,x4 = sorted([a[j], a[j+1]]) if x1<x3<x2 and x3<x2<x4: ans = "yes" print ans
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import sys import fractions a = sys.stdin.readline() n = int(a) a = sys.stdin.readline() a = a.strip().split() a = [int(i) for i in a] def isInter(c1, c2): if c1[0] > c2[0] and c1[0] < c2[1] and c1[1] > c2[1]: return True if c1[1] > c2[0] and c1[1] < c2[1] and c1[0] < c2[0]: return True return False if len(a) <= 2: print "no" else: ret = "no" circs = [ [min(a[0],a[1]), max(a[0],a[1])] ] for i in range(2, n): if ret == "yes": break tmpcirc = [min(a[i],a[i-1]), max(a[i],a[i-1])] for c in circs: if isInter(c, tmpcirc): ret = "yes" break if ret == "no": circs.append(tmpcirc) print ret
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
# your code goes here n = input() arr = map(int, raw_input().split()) i = 0 t = True while i<n-1: j = 0 while j<n-1: a = arr[i] b = arr[i+1] c = arr[j] d = arr[j+1] if a>b: a,b = b,a if c>d: c,d = d,c if a<c<b<d: t = False j+=1 i+=1 if t: print 'no' else: print 'yes'
PYTHON
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.*; import java.util.*; public class Test { static FastScanner sc; static boolean[] visited; static int four = 0, seven = 0; public static void main(String args[]) { sc = new FastScanner(System.in); solve(); } public static void solve() { int n = sc.nextInt(); int[] arr = new int[n]; for (int i = 0; i < n; i++) { arr[i] = sc.nextInt(); } int a = 0, b = 0, c = 0, d = 0; for (int i = 1; i < arr.length; i++) { a = Math.min(arr[i - 1], arr[i]); b = Math.max(arr[i - 1], arr[i]); for (int j = i + 1; j < arr.length; j++) { c = Math.min(arr[j - 1], arr[j]); d = Math.max(arr[j - 1], arr[j]); // System.err.println(a + " " + b + " - " + c + " " + d); if ((b > c && d > b && c > a) || (a > c && d > a && b > d)) { System.out.println("yes"); return; } } } System.out.println("no"); } } class FastScanner { BufferedReader reader; StringTokenizer tokenizer; FastScanner(InputStream inputStream) { reader = new BufferedReader(new InputStreamReader(inputStream)); } String nextToken() { while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (Exception e) { e.printStackTrace(); } } return tokenizer.nextToken(); } int nextInt() { return Integer.parseInt(nextToken()); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.LinkedList; import java.util.Scanner; public class A_Line { static class Line { int a, b; Line(int a, int b) { this.a = a; this.b = b; } public String toString() { return "[" + a + "," + b + "]"; } boolean intersect(Line l) { int x0, y0, x1, y1; x0 = a < b ? a : b; y0 = a < b ? b : a; x1 = l.a < l.b ? l.a : l.b; y1 = l.a < l.b ? l.b : l.a; return ((x0 > x1 && x0 < y1) && (y0 < x1 || y0 > y1)) || ((y0 > x1 && y0 < y1) && (x0 < x1 || x0 > y1)); } } public static void main(String[] args) throws Exception { Scanner input = new Scanner(System.in); int n = input.nextInt(); LinkedList<Line> lx = new LinkedList<>(); if (n <= 3) { System.out.println("no"); } else { int x; boolean yes = false; lx.add(new Line(input.nextInt(), input.nextInt())); int i; for (i = 2; i < n && !yes; i++) { x = input.nextInt(); Line l = new Line(lx.getLast().b, x); for (Line ln : lx) { if (l.intersect(ln)) { yes = true; break; } } lx.add(l); } System.out.println(!yes ? "no" : "yes"); } input.close(); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; vector<int> a(n); for (int i = 0; i < n; i++) cin >> a[i]; string res = "no"; for (int i = 0; i < n - 1; i++) { for (int j = 0; j < n - 1; j++) { if (i != j) { int x1 = min(a[i], a[i + 1]); int x2 = max(a[i], a[i + 1]); int x3 = min(a[j], a[j + 1]); int x4 = max(a[j], a[j + 1]); if (x1 < x3 && x3 < x2 && x2 < x4) { res = "yes"; break; } else if (x3 < x1 && x1 < x4 && x4 < x2) { res = "yes"; break; } } } if (res == "yes") break; } cout << res; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> int main() { int n; scanf("%d", &n); long *Coordinates; Coordinates = (long *)malloc((n + 1) * sizeof(int)); int i; for (i = 0; i < n; i++) { scanf("%ld", &Coordinates[i]); } int num = n; long *x, *y; x = (long *)malloc(num * sizeof(int)); y = (long *)malloc(num * sizeof(int)); int temp; for (i = 0; i < n - 1; i++) { x[i] = Coordinates[i]; y[i] = Coordinates[i + 1]; } for (i = 1; i < n - 1; ++i) { temp = i; while (temp >= 0) { if ((Coordinates[i] > x[temp] && Coordinates[i] < y[temp]) || (Coordinates[i] < x[temp] && Coordinates[i] > y[temp])) { if (x[temp] < y[temp]) { if (Coordinates[i + 1] < x[temp] || Coordinates[i + 1] > y[temp]) { printf("yes"); return 0; } } else { if (Coordinates[i + 1] > x[temp] || Coordinates[i + 1] < y[temp]) { printf("yes"); return 0; } } } else if ((Coordinates[i + 1] > x[temp] && Coordinates[i + 1] < y[temp]) || (Coordinates[i + 1] < x[temp] && Coordinates[i + 1] > y[temp])) { if (x[temp] < y[temp]) { if (Coordinates[i] < x[temp] || Coordinates[i] > y[temp]) { printf("yes"); return 0; } } else { if (Coordinates[i] > x[temp] || Coordinates[i] < y[temp]) { printf("yes"); return 0; } } } --temp; } } printf("no"); free(Coordinates); free(x); free(y); return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.ArrayList; public class ContinuousLine { public static class Intervalo{ public int min; public int max; public Intervalo (int num1, int num2){ min = Integer.min(num1, num2); max = Integer.max(num1, num2); } public boolean inside(int num){ return (num>min && num < max); } public boolean greater(int num){ return (num>max); } public boolean lower(int num){ return (num<min); } } public static boolean isBetween(int num1, int num2, int cand){ int min = Integer.min(num1, num2); int max = Integer.max(num1, num2); if (cand>min && cand < max) return true; return false; } private static boolean inside(ArrayList<Intervalo> excluded, int num) { for(int i = 0; i<excluded.size(); i++) if (excluded.get(i).inside(num)) return true; return false; } public static void main(String[] args) throws IOException { BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); String data = in.readLine(); @SuppressWarnings("unused") int n = Integer.parseInt(data); String[] numbers = in.readLine().split(" "); Intervalo outer = new Intervalo(Integer.MIN_VALUE, Integer.MAX_VALUE); ArrayList<Intervalo> excluded = new ArrayList<Intervalo>(); if (n>1){ int ini = Integer.parseInt(numbers[0]); int end = Integer.parseInt(numbers[1]); for(int i = 2; i<numbers.length; i++){ int num = Integer.parseInt(numbers[i]); if (!outer.inside(num) || inside(excluded, num)){ System.out.println("yes"); return; } if (isBetween(ini, end, num)){ outer = new Intervalo(ini, end); excluded.clear(); } else if (isBetween(Integer.max(ini, end), outer.max, num)){ excluded.add(new Intervalo(ini, end)); } else if (isBetween(Integer.min(ini, end), outer.min, num)){ excluded.add(new Intervalo(ini, end)); } ini = end; end = num; } System.out.println("no"); } else System.out.println("no"); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int input[1010]; struct node { int start; int end; node(){}; node(int _start, int _end) { start = _start; end = _end; } } nodes[1000]; int main() { int n; while (cin >> n) { bool flag = false; int xi = 0; for (int i = 0; i < n; i++) { cin >> input[i]; } for (int i = 0; i < n - 1; i++) { int start = input[i]; int end = input[i + 1]; if (start > end) swap(start, end); nodes[i] = node(start, end); } for (int i = 0; i < n - 1; i++) { int istart = nodes[i].start; int iend = nodes[i].end; for (int j = 0; j < i; j++) { int jstart = nodes[j].start; int jend = nodes[j].end; if (jstart < istart) { if (jend > istart && iend > jend) flag = true; } else if (jstart > istart) { if (iend > jstart && jend > iend) flag = true; } } if (flag == true) break; } if (flag) cout << "yes" << endl; else cout << "no" << endl; } return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner s = new Scanner(System.in); int n = s.nextInt(); int[] arr = new int[n]; for (int j = 0; j < n; ++j) arr[j] = s.nextInt(); String out = "no"; for (int k = 1; k < n; ++k) { for (int l = k + 1; l < n; ++l) { int a1 = arr[k-1]; int b1 = arr[k]; if (a1 > b1) { int t = a1; a1 = b1; b1 = t; } int a2 = arr[l-1]; int b2 = arr[l]; if (a2 > b2) { int t = a2; a2 = b2; b2 = t; } if ((a1 == a2) || (b1 == b2) || (a2 == b1) || (a1 == b2)) continue; if (b1 < a2 || b2 < a1) continue; if (a2 > a1 && b2 < b1) continue; if (a1 > a2 && b1 < b2) continue; else { out = "yes"; break; } } if (out.equals("yes")) break; } System.out.println(out); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import sys sys.setrecursionlimit(100000) n = int(sys.stdin.readline().strip()) arr = [int(x) for x in sys.stdin.readline().strip().split()] pair = [(min(arr[x],arr[x+1]),max(arr[x],arr[x+1])) for x in range(0,n-1)] flag = False for i in range(0,n-2): p = pair[i] for j in range(i+1,n-1): k = pair[j] if p[0]<k[0]<p[1]<k[1] or k[0]<p[0]<k[1]<p[1]: flag = True break if flag: print("yes") else: print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.Collections; import java.util.LinkedList; import java.util.Scanner; public class A { public static void main(String[] args) { Scanner sc = new Scanner(System.in); int N = sc.nextInt(); int[] array= new int[N]; for(int a=0;a<N;a++)array[a]=sc.nextInt(); boolean OK = true; for(int a=0;a<N-1;a++){ int L1 = Math.min(array[a],array[a+1]); int R1 = Math.max(array[a],array[a+1]); for(int b=a+2;b<N-1;b++){ int L2 = Math.min(array[b],array[b+1]); int R2 = Math.max(array[b],array[b+1]); if(L1<L2&&L2<R1&&R1<R2)OK=false; if(L2<L1&&L1<R2&&R2<R1)OK=false; } } System.out.println(OK?"no":"yes"); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; int a[n]; for (int i = 0; i < n; i++) { cin >> a[i]; } int ma = max(a[0], a[1]); ma = max(a[2], ma); int mi = min(a[0], a[1]); mi = min(a[2], mi); for (int i = 3; i < n; i++) { ma = max(a[i], ma); mi = min(a[i], mi); if ((a[i] == ma && a[i - 1] == mi) || (a[i] == mi && a[i - 1] == ma)) { continue; } for (int j = 0; j < i; j++) { if (a[i] > a[i - 1]) { if (a[j] > a[i - 1] && a[j] < a[i]) { cout << "yes"; return 0; } } else { if (a[j] < a[i - 1] && a[j] > a[i]) { cout << "yes"; return 0; } } } } cout << "no"; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> int num[1005]; using namespace std; int judge(int x1, int x2, int x3, int x4) { if (x1 > x2) swap(x1, x2); if (x3 > x4) swap(x3, x4); if (x1 < x3 && x3 < x2 && x2 < x4) return (1); if (x3 < x1 && x1 < x4 && x4 < x2) return (1); return (0); } int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d", &num[i]); } int i, err = 0; for (i = 0; i < n - 1; i++) { for (int j = i + 1; j < n - 1; j++) { if (judge(num[i], num[i + 1], num[j], num[j + 1])) { printf("yes"); err = 1; } if (err == 1) break; } if (err == 1) break; } if (i == n - 1) printf("no"); return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n=int(input()) l1=list(map(int,input().split())) pairs=[] for i in range(n-1): pairs.append((min(l1[i],l1[i+1]),max(l1[i],l1[i+1]))) flag=0 for i in range(n-1): for j in range(i+1,n-1): if pairs[i][0]>pairs[j][0] and pairs[i][0]<pairs[j][1] and pairs[i][1]>pairs[j][1]: flag=1 break elif pairs[i][0]<pairs[j][0] and pairs[i][1]>pairs[j][0] and pairs[i][1]<pairs[j][1]: flag=1 break if flag==1: break if flag==1: print("yes") else : print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
""" int(input()) map(int,input().split()) list(map(int,input().split())) """ n=int(input()) a=list(map(int,input().split())) p=[] for i in range(n-1): p.append([min(a[i],a[i+1]),max(a[i],a[i+1])]) for i in p: for j in p: if i[0]<j[0]<i[1]<j[1] or j[0]<i[0]<j[1]<i[1]: print("yes") exit() print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int num[1211]; inline bool cross(int a, int b) { int x0 = num[a]; int x1 = num[a + 1]; int y0 = num[b]; int y1 = num[b + 1]; if (x0 > x1) swap(x0, x1); if (y0 > y1) swap(y0, y1); if (x0 < y0 && x1 > y0 && x1 < y1) return true; if (x0 > y0 && x0 < y1 && x1 > y1) return true; return false; } int main() { ios::sync_with_stdio(false); int n; cin >> n; for (int i = 0; i < n; i++) cin >> num[i]; bool flag = false; for (int i = 0; i < n - 1; i++) for (int j = i + 2; j < n - 1; j++) if (cross(i, j)) flag = true; if (flag) cout << "yes\n"; else cout << "no\n"; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n=int(input());a=list(map(int,input().split()));b,c,ok=[],[],1 for i in range(n-1): b.append(min(a[i],a[i+1]));c.append(max(a[i],a[i+1])); for i in range(n-1): for j in range(n-1): if(i==j):continue if(b[i]<b[j] and c[i]>b[j] and c[j]>c[i]):ok=0 if(ok):print('no') else:print('yes')
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int xs[1000]; int main() { int n; scanf("%d", &n); for (int i = 0; i < n; ++i) { cin >> xs[i]; } bool ok = 1; for (int i = 0; i < n - 1; ++i) { int st = min(xs[i], xs[i + 1]); int ed = max(xs[i], xs[i + 1]); for (int j = 0; j < n - 1; ++j) { if (i != j) { int st1 = min(xs[j], xs[j + 1]); int ed1 = max(xs[j], xs[j + 1]); if ((st1 > st && st1 < ed && ed1 > ed) || (ed1 > st && ed1 < ed && st1 < st)) { ok = 0; break; } } } if (!ok) break; } if (ok) cout << "no" << endl; else cout << "yes" << endl; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int n, p[1005]; int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", p + i); for (int i = 0; i < n - 1; i++) for (int j = i + 1; j < n - 1; j++) { int a = min(p[i], p[i + 1]); int b = max(p[i], p[i + 1]); int c = min(p[j], p[j + 1]); int d = max(p[j], p[j + 1]); if ((c > a && c < b && d > b) || (d > a && d < b && c < a)) return puts("yes"), 0; } puts("no"); return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n=int(input()) arr=list(map(int , input().split())) l=[] for i in range(1,n): m1=min(arr[i],arr[i-1]) m2=max(arr[i],arr[i-1]) l.append((m1,m2)) flag=0 for i in range(1,n-1): lb=l[i][0] ub=l[i][1] for j in range(0,i): if(lb>=l[j][0] and ub<=l[j][1]): continue if(ub<=l[j][0] or lb>=l[j][1]): continue if(lb<=l[j][0] and ub>=l[j][1]): continue else: print("yes") exit() print("no")
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n= int(input()) l= list(map(int, input().split())) ans='no' for i in range(0, n-1): for j in range(0, n-1): x1,x2= sorted([l[i], l[i+1]]) x3,x4= sorted([l[j], l[j+1]]) if x1<x3<x2 and x3<x2<x4: ans='yes' print(ans)
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int n; scanf("%d", &n); int t[1003]; for (int i = 0; i < n; i++) { cin >> t[i]; } for (int i = 1; i < n - 1; i++) { for (int j = i; j < n - 1; j++) { int x = min(t[j], t[j + 1]), y = max(t[j], t[j + 1]); int a = min(t[i - 1], t[i]), b = max(t[i - 1], t[i]); if ((x < b and a < x and b < y) or (x < a and a < y and y < b)) { cout << "yes"; return 0; } } } cout << "no"; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; if (n == 1 || n == 2 || n == 3) { cout << "no"; return 0; } int a[n]; for (int i = 0; i < n; i++) cin >> a[i]; for (int i = 0; i < n - 1; i++) { for (int j = 0; j < n - 1; j++) if (max(a[i], a[i + 1]) < max(a[j], a[j + 1]) && min(a[i], a[i + 1]) < min(a[j], a[j + 1]) && max(a[i], a[i + 1]) > min(a[j], a[j + 1])) { cout << "yes"; return 0; } } cout << "no"; return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(input()) x = [int(i) for i in input().split()] if (n < 3): print ('no') else: ans = 'no' for i in range(3, n): prev = x[i - 1] num = x[i] for j in range(i - 2): num1 = min(x[j], x[j + 1]) num2 = max(x[j], x[j + 1]) if (prev < num1 or prev > num2) and (num > num1 and num < num2): ans = 'yes' break elif ((num < num1 or num > num2) and (prev > num1 and prev < num2)): ans = 'yes' break print (ans)
PYTHON3
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.io.*; import java.util.Locale; import java.util.StringTokenizer; public class Solution_A implements Runnable { static BufferedReader in; static PrintWriter out; static StringTokenizer tokenizer; public static void main(String[] args) { new Thread(null, new Solution_A(), "", 256 * (1L << 20)).start(); } public void run() { try { long t1 = System.currentTimeMillis(); if (System.getProperty("ONLINE_JUDGE") != null) { out = new PrintWriter(System.out); in = new BufferedReader(new InputStreamReader(System.in)); } else { out = new PrintWriter("output.txt"); in = new BufferedReader(new FileReader("input.txt")); } Locale.setDefault(Locale.US); solve(); long t2 = System.currentTimeMillis(); System.err.println("Time = " + (t2 - t1)); } catch (Throwable t) { t.printStackTrace(System.err); System.exit(-1); } finally { try { in.close(); out.close(); } catch (IOException e) { e.printStackTrace(); System.exit(-1); } } } // solution void solve() throws IOException { String line = in.readLine(); int pointCount; if (line != null) { pointCount = Integer.parseInt(line); long[] points = new long[pointCount]; tokenizer = new StringTokenizer(in.readLine(), " "); int i = 0; while (tokenizer.hasMoreTokens()) { points[i] = Long.parseLong(tokenizer.nextToken()); i++; } for (i = 0; i < pointCount-1; i++) { Long firstMax = Math.max(points[i], points[i+1]); Long firstMin = Math.min(points[i], points[i+1]); for (int j = i+1; j < pointCount - 1; j++) { Long secondMax = Math.max(points[j], points[j+1]); Long secondMin = Math.min(points[j], points[j+1]); if (secondMin > firstMin && secondMin < firstMax && secondMax > firstMax){ out.print("yes"); return; } if (secondMin < firstMin && firstMin < secondMax && secondMax < firstMax){ out.print("yes"); return; } } } out.print("no"); } else { out.print("no"); } } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; const int maxn = 1010; int x[maxn]; int main() { int n; cin >> n; for (int i = 0; i < n; i++) cin >> x[i]; int flag = 0; for (int i = 0; i < n - 1; i++) for (int j = i + 1; j < n - 1; j++) { int t1 = min(x[i], x[i + 1]); int t2 = max(x[i], x[i + 1]); if (t1 >= x[j] && t1 >= x[j + 1]) continue; if (t2 <= x[j] && t2 <= x[j + 1]) continue; if (t1 >= min(x[j], x[j + 1]) && t2 <= max(x[j], x[j + 1])) continue; if (t1 <= min(x[j], x[j + 1]) && t2 >= max(x[j], x[j + 1])) continue; flag = 1; } if (flag) puts("yes"); else puts("no"); return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; const int max_n = 1e3; int n; int cor[max_n + 1]; void input() { cin >> n; for (int i = 0; i < n; i++) { cin >> cor[i]; } } bool check(int l1, int r1, int l2, int r2) { if (l1 == l2 && r1 == r2) return true; if (l2 > l1 && l2 < r1 && r2 > r1) return true; if (l2 < l1 && r2 > l1 && r2 < r1) return true; return false; } void output() { bool flag = false; for (int i = 0; i < n - 1; i++) { int cur_l = min(cor[i], cor[i + 1]), cur_r = max(cor[i + 1], cor[i]); for (int j = 0; j < n - 1; j++) { if (j == i) continue; if (check(cur_l, cur_r, min(cor[j], cor[j + 1]), max(cor[j], cor[j + 1]))) { flag = true; goto ans; } } } ans:; if (flag) cout << "yes\n"; else cout << "no\n"; } int main() { input(); output(); return 0; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner sc = new Scanner(System.in); int n = sc.nextInt(); // <= 10^3 int[] val = new int[n]; for (int i = 0; i < n; i++) val[i] = sc.nextInt(); String result = "no"; for (int i = 0; i < n - 1; i++) { for (int j = i + 1; j < n - 1; j++) { int a = val[i]; int b = val[i + 1]; int c = val[j]; int d = val[j + 1]; if (a < b) { int temp = b; b = a; a = temp; } if (c < d) { int temp = d; d = c; c = temp; } // so that b >= d, a >= c. if (b < d && d < a && a < c) result = "yes"; if (d < b && b < c && c < a) result = "yes"; } } System.out.println(result); } }
JAVA
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; int n, m; map<string, int> mpp; vector<vector<pair<int, int> > > AdjList; vector<int> visited; priority_queue<pair<int, int> > pq; int main() { ios_base::sync_with_stdio(false); int n; int temp; cin >> n; int a[10000]; for (int i = 0; i < n; i++) cin >> a[i]; bool q = true; for (int i = 0; i < n - 1; i++) { for (int j = 0; j < n - 1; j++) { if (max(a[i], a[i + 1]) < max(a[j], a[j + 1]) && min(a[i], a[i + 1]) < min(a[j], a[j + 1]) && max(a[i], a[i + 1]) > min(a[j], a[j + 1])) { cout << "yes" << endl; return 0; } } } cout << "no"; }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 5; void bs_b8a() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); } const long long mod = 1e9 + 7; long long arr[N]; using namespace std; int main() { bs_b8a(); long long ta = 1; while (ta--) { long long n; cin >> n; for (int i = 0; i < n; ++i) cin >> arr[i]; for (int i = 0; i < n - 1; ++i) { for (int j = 0; j < n - 1; ++j) { long long x1, x2, y1, y2; x1 = min(arr[i], arr[i + 1]); y1 = max(arr[i], arr[i + 1]); x2 = min(arr[j], arr[j + 1]); y2 = max(arr[j], arr[j + 1]); if ((x1 < x2 && x2 < y1 && y1 < y2) || (x1 > x2 && y2 < y1 && x1 < y2)) { cout << "yes\n"; return 0; } } } cout << "no\n"; return 0; } }
CPP
358_A. Dima and Continuous Line
Dima and Seryozha live in an ordinary dormitory room for two. One day Dima had a date with his girl and he asked Seryozha to leave the room. As a compensation, Seryozha made Dima do his homework. The teacher gave Seryozha the coordinates of n distinct points on the abscissa axis and asked to consecutively connect them by semi-circus in a certain order: first connect the first point with the second one, then connect the second point with the third one, then the third one with the fourth one and so on to the n-th point. Two points with coordinates (x1, 0) and (x2, 0) should be connected by a semi-circle that passes above the abscissa axis with the diameter that coincides with the segment between points. Seryozha needs to find out if the line on the picture intersects itself. For clarifications, see the picture Seryozha showed to Dima (the left picture has self-intersections, the right picture doesn't have any). <image> Seryozha is not a small boy, so the coordinates of the points can be rather large. Help Dima cope with the problem. Input The first line contains a single integer n (1 ≀ n ≀ 103). The second line contains n distinct integers x1, x2, ..., xn ( - 106 ≀ xi ≀ 106) β€” the i-th point has coordinates (xi, 0). The points are not necessarily sorted by their x coordinate. Output In the single line print "yes" (without the quotes), if the line has self-intersections. Otherwise, print "no" (without the quotes). Examples Input 4 0 10 5 15 Output yes Input 4 0 15 5 10 Output no Note The first test from the statement is on the picture to the left, the second test is on the picture to the right.
2
7
n = int(input()) points = map(int, raw_input().split()) def getKey(x) : return x[0] if n <= 2 : print "no" else : intervals = [] for i in range(1, len(points)) : a = min(points[i], points[i-1]) b = max(points[i], points[i-1]) intervals.append([a, b]) intervals.sort(key=getKey) # print intervals flag = False for i in range(1, len(intervals)) : for j in range(0, i) : if intervals[i][0] < intervals[j][1] and \ intervals[i][0] > intervals[j][0] and \ intervals[i][1] > intervals[j][1] : flag = True # print intervals[i] # print intervals[j] break if flag : print 'yes' else : print 'no'
PYTHON