input
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20
127k
target
stringlengths
20
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problem_id
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6
6
import math import functools import copy N=int(eval(input())) a=list(map(int,input().split())) b=copy.copy(a) ans=list() for i in range(N): del b[i] gcd=functools.reduce(math.gcd,b) ans.append(gcd) b.insert(i,a[i]) print((max(ans)))
import math from itertools import accumulate n = int(eval(input())) a = list(map(int, input().split())) fromleft = list(accumulate(a, math.gcd)) fromright = list(accumulate(a[::-1], math.gcd))[::-1] gcd = [] gcd.append(fromright[1]) for i in range(1, n-1): gcd.append(math.gcd(fromleft[i-1], fromright[i+1])) gcd.append(fromleft[n-2]) print((max(gcd)))
p03061
from functools import reduce import copy def gcd(x, y): if y == 0: return x else: return gcd(y, x % y) #再帰定義 def gcd_list(numbers): return reduce(gcd, numbers) n=int(eval(input())) a_o=list(map(int,input().split())) g=[1]*n for i in range(n): a=copy.copy(a_o) a.pop(i) g[i]=gcd_list(a) print((max(g)))
def gcd(x, y): if y == 0: return x else: return gcd(y, x % y) #再帰定義 n=int(eval(input())) a=list(map(int,input().split())) l=[0]*n r=[0]*n for i in range(1,n): if i==1: l[1]=a[0] r[-2]=a[-1] else: l[i]=gcd(l[i-1],a[i-1]) r[-i-1]=gcd(r[-i],a[-i]) g=[0]*n for i in range(n): if l[i]==0 or r[i]==0: g[i]=l[i]+r[i] else: g[i]=gcd(l[i],r[i]) print((max(g)))
p03061
def gcd(a,b): if a % b == 0: return b else: return gcd(b,a%b) N = int(eval(input())) A = [i for i in map(int,input().split())] g = [] for i in range(N): ans = 0 for j in range(N): if ans == 0 and i != j: ans = A[j] continue if i != j: ans = gcd(A[j],ans) g.append(ans) print((max(g)))
def gcd(a,b): if b == 0: return a if a % b == 0: return b else: return gcd(b,a%b) N = int(eval(input())) A = [i for i in map(int,input().split())] L = [0] R = [0] for i in range(N): L.append(gcd(L[-1],A[i])) for i in range(N-1,-1,-1): R.append(gcd(R[-1],A[i])) R.reverse() g = [] for i in range(N): g.append(gcd(L[i],R[i+1])) print((max(g)))
p03061
n = int(eval(input())) a = list(map(int,input().split())) if n == 2: print((max(a))) else: l = [-1] r = [] def gcd(x,y): while y != 0: x, y = y, x%y # print(x,y) return(x) for i in range(n-1): m = a[i+1:][0] if len(a[i+1:]) == 1: m = a[i+1:][0] elif len(a[i+1:]) > 1: for j in a[i+1:]: m = gcd(m,j) r.append(m) m2 = a[:i+1][0] if len(a[:i+1]) == 1: m2 = a[:i+1][0] elif len(a[:i+1]) > 1: for j in a[:i+1]: m2 = gcd(m2,j) l.append(m2) r.append(-1) # print(r) # print(l) ans = 0 for i in range(n): if l[i] == -1: ans = max(ans,r[i]) elif r[i] == -1: ans = max(ans,l[i]) else: ans = max(ans,gcd(l[i],r[i])) print(ans)
n = int(eval(input())) a = list(map(int,input().split())) if n == 2: print((max(a))) else: l = [0 for i in range(n)] r = [0 for i in range(n)] def gcd(x,y): while y != 0: x, y = y, x%y # print(x,y) return(x) for i in range(1,n): l[i] = gcd(l[i-1],a[i-1]) r[n-i-1] = gcd(r[n-i],a[n-i]) # print(l) # print(r) ans = 0 for i in range(n): if l[i] == -1: ans = max(ans,r[i]) elif r[i] == -1: ans = max(ans,l[i]) else: ans = max(ans,gcd(l[i],r[i])) print(ans)
p03061
N=int(eval(input())) LA=list(map(int,input().split())) ans=[] def gcd(m,n): while n: m,n=n,m%n return m from functools import reduce def multigcd(item): return reduce(gcd, item) for n in range(N): L=LA[:n]+LA[n+1:] ans.append(multigcd(L)) print((max(ans)))
N=int(eval(input())) LA=list(map(int,input().split())) ans=[] def gcd(m,n): if m==0 or n==0: return m+n while n: m,n=n,m%n return m La=[0] Lb=[0] for n in range(N-1): La.append(gcd(La[n],LA[n])) Lb.append(gcd(Lb[n],LA[-(n+1)])) for n in range(N): ans.append(gcd(La[n],Lb[-(n+1)])) print((max(ans)))
p03061
#import math from functools import reduce def gcd(a,b): r = 1 while r > 0: r = a % b a = b b = r return a n = int(eval(input())) a = [int(i) for i in input().split()] L = [0] * n for i in range(n): aa = a[:] aa.pop(i) L[i] = reduce(gcd, aa) print((max(L)))
def gcd(a,b): if a == 0: return b if b == 0: return a r = 1 while r > 0: r = a % b a = b b = r return a n = int(eval(input())) A = [int(i) for i in input().split()] L = [0] * n L[0] = 0 L[1] = A[0] for i in range(2,n): L[i] = gcd(L[i-1], A[i-1]) R = [0] * n R[-1] = 0 R[-2] = A[-1] for i in range(3,n+1): R[-i] = gcd(R[-i+1], A[-i+1]) M = [gcd(L[i],R[i]) for i in range(n)] print((max(M)))
p03061
import sys from collections import deque def gcd(a, b): while b: a, b = b, a % b return a input = sys.stdin.readline n = int(eval(input())) a_que = deque(list(map(int, input().split()))) ans = 1 for _ in range(n): out = a_que.popleft() m = 0 for a in a_que: m = gcd(m, a) ans = max(ans, m) a_que.append(out) print(ans)
import sys def gcd(a, b): while b: a, b = b, a % b return a input = sys.stdin.readline n = int(eval(input())) a_list = list(map(int, input().split())) l_list = [0] r_list = [0] l_gcd, r_gcd = 0, 0 for i in range(n-1): l_gcd = gcd(l_gcd, a_list[i]) l_list.append(l_gcd) r_gcd = gcd(r_gcd, a_list[-i-1]) r_list.append(r_gcd) ans = 1 for i in range(n): ans = max(ans, gcd(l_list[i], r_list[-i-1])) print(ans)
p03061
n = int(eval(input())) a = list(map(int, input().split())) a.sort(reverse=True) from functools import lru_cache import sys if n == 2: print((max(a))) sys.exit() @lru_cache(maxsize=100000) def gcd(x, y): while y: x, y = y, x % y return x def gcd_list(li): if len(li) == 1: return li[0] g = gcd(li[0], li[1]) for i in range(2, len(li)): g = gcd(g, li[i]) return g def gcd_list_2(li): g = gcd(li[0], li[1]) if g == 1: return max(gcd_list([li[0]] + li[2:]), gcd_list(li[1:])) for i in range(2, n): if gcd(g, li[i]) == 1: if i == n - 1: return gcd_list(li[:i]) gg = gcd_list(li[i+1:]) bb = [gcd(li[x], gg) for x in range(i+1)] bb.sort() return bb[1] else: g = gcd(g, li[i]) return g def max_gcd(a): g = gcd_list(a) a = [a[i]//g for i in range(n)] m = gcd_list_2(a) print((g * m)) max_gcd(a)
n = int(eval(input())) a = list(map(int, input().split())) import sys if n == 2: print((max(a))) sys.exit() def gcd(x, y): while y: x, y = y, x % y return x g = a[0] gcd_left = [g] for i in range(n-1): g = gcd(g, a[i+1]) gcd_left.append(g) g = a[n-1] gcd_right = [g] for i in range(n-1): g = gcd(g, a[n-2-i]) gcd_right.append(g) max_gcd = gcd_right[n-2] for i in range(1, n-1): max_gcd = max(max_gcd, gcd(gcd_left[i-1], gcd_right[n - 2 - i])) max_gcd = max(max_gcd, gcd_left[n-2]) print(max_gcd)
p03061
import math N = int(eval(input())) A = [int(_) for _ in input().split()] def gcd(x, y): if x < y: return gcd(y, x) elif y == 0: return x else: return gcd(y, x % y) class SegmentTree(): def m(self, v1, v2): # ***monoid*** return gcd(v1, v2) def __init__(self, array): m = self.m e = self.e = 0 # ***identity element*** size = self.size = 10**6 # ***limit for array size*** n = self.n = len(array) dat = self.dat = [e] * n + array + [e] * (2 * size - 2 * n) for i in range(n - 1, 0, -1): # build dat[i] = m(dat[i << 1], dat[i << 1 | 1]) def modify(self, p, v): # set value at position p (0-indexed) m, n, dat = self.m, self.n, self.dat p += n dat[p] = v while p > 1: dat[p >> 1] = m(dat[p], dat[p ^ 1]) p >>= 1 def query(self, l, r): # result on interval [l, r) (0-indexed) m, e, n, dat = self.m, self.e, self.n, self.dat res = e l += n r += n while l < r: if l & 1: res = m(res, dat[l]) l += 1 if r & 1: r -= 1 res = m(res, dat[r]) l >>= 1 r >>= 1 return res ST = SegmentTree(A) ans = 0 for i, a in enumerate(A): ST.modify(i, ST.e) ans = max(ans, ST.query(0, N)) ST.modify(i, a) print(ans)
import math N = int(eval(input())) A = [int(_) for _ in input().split()] def gcd(x, y): if x < y: return gcd(y, x) elif y == 0: return x else: return gcd(y, x % y) class SegmentTree(): def m(self, v1, v2): # ***monoid*** return gcd(v1, v2) def __init__(self, array): m = self.m e = self.e = 0 # ***identity element*** size = self.size = 10**5 # ***limit for array size*** n = self.n = len(array) dat = self.dat = [e] * n + array + [e] * (2 * size - 2 * n) for i in range(n - 1, 0, -1): # build dat[i] = m(dat[i << 1], dat[i << 1 | 1]) def modify(self, p, v): # set value at position p (0-indexed) m, n, dat = self.m, self.n, self.dat p += n dat[p] = v while p > 1: dat[p >> 1] = m(dat[p], dat[p ^ 1]) p >>= 1 def query(self, l, r): # result on interval [l, r) (0-indexed) m, e, n, dat = self.m, self.e, self.n, self.dat res = e l += n r += n while l < r: if l & 1: res = m(res, dat[l]) l += 1 if r & 1: r -= 1 res = m(res, dat[r]) l >>= 1 r >>= 1 return res ST = SegmentTree(A) ans = 0 for i, a in enumerate(A): ST.modify(i, ST.e) ans = max(ans, ST.query(0, N)) ST.modify(i, a) print(ans)
p03061
N = int(eval(input())) A = [int(_) for _ in input().split()] class SegmentTree(): def __init__(self, array, m, e, size): self.m = m # monoid self.e = e # identity element self.size = size # limit for array size self.n = n = len(array) # array size self.dat = dat = [e] * n + array + [e] * (2 * size - 2 * n) for i in range(n - 1, 0, -1): # build dat[i] = m(dat[i << 1], dat[i << 1 | 1]) def modify(self, p, v): # set value at position p (0-indexed) m, n, dat = self.m, self.n, self.dat p += n dat[p] = v while p > 1: dat[p >> 1] = m(dat[p], dat[p ^ 1]) p >>= 1 def query(self, l, r): # result on interval [l, r) (0-indexed) m, e, n, dat = self.m, self.e, self.n, self.dat res = e l += n r += n while l < r: if l & 1: res = m(res, dat[l]) l += 1 if r & 1: r -= 1 res = m(res, dat[r]) l >>= 1 r >>= 1 return res gcd = lambda x, y: gcd(y, x) if x < y else x if y == 0 else gcd(y, x % y) e = 0 size = 10**6 ST = SegmentTree(A, m=gcd, e=e, size=size) ans = 1 for i, a in enumerate(A): ST.modify(i, 0) ans = max(ans, ST.query(0, N)) ST.modify(i, a) print(ans)
N = int(eval(input())) A = [int(_) for _ in input().split()] class SegmentTree(): def __init__(self, array, m, e, size): """ Parameters ---------- array : list to construct segment tree from m : func binary operation of the monoid e : identity element of the monoid size : int limit for array size """ self.m = m self.e = e self.size = size self.n = n = len(array) self.dat = dat = [e] * n + array + [e] * (2 * size - 2 * n) for i in range(n - 1, 0, -1): # build dat[i] = m(dat[i << 1], dat[i << 1 | 1]) def modify(self, p, v): # set value at position p (0-indexed) m, n, dat = self.m, self.n, self.dat p += n dat[p] = v while p > 1: dat[p >> 1] = m(dat[p], dat[p ^ 1]) p >>= 1 def query(self, l, r): # result on interval [l, r) (0-indexed) m, e, n, dat = self.m, self.e, self.n, self.dat res = e l += n r += n while l < r: if l & 1: res = m(res, dat[l]) l += 1 if r & 1: r -= 1 res = m(res, dat[r]) l >>= 1 r >>= 1 return res gcd = lambda x, y: gcd(y, x) if x < y else x if y == 0 else gcd(y, x % y) e = 0 size = N ST = SegmentTree(A, m=gcd, e=e, size=size) ans = 1 for i, a in enumerate(A): ST.modify(i, 0) ans = max(ans, ST.query(0, N)) ST.modify(i, a) print(ans)
p03061
N = int(eval(input())) A = list(map(int, input().split())) def gcd(a, b): while b: a, b = b, a%b return a def gcd_of_arr(arr): cd = arr[0] for i in range(1,len(arr)): if cd==1: return cd cd = gcd(arr[i], cd) return cd ans = 0 for i in range(N): tmp = gcd_of_arr(A[0:i] + A[i+1:N]) ans = max(ans, tmp) print(ans)
N = int(eval(input())) A = list(map(int, input().split())) def gcd(a, b): while b: a, b = b, a%b return a L, R = [0]*(N+1), [0]*(N+1) for i in range(1,N+1): L[i] = gcd(L[i-1], A[i-1]) R[N-i] = gcd(R[N+1-i], A[N-i]) ans = 0 for i in range(N): ans = max(ans, gcd(L[i], R[i+1])) print(ans)
p03061
#どっちで出すか注意, rstrip注意 #提出前に見返すこと! def main(): import sys input = sys.stdin.readline sys.setrecursionlimit(10000000) from collections import Counter, deque #from collections import defaultdict from itertools import combinations, permutations, accumulate #from itertools import product from bisect import bisect_left,bisect_right import heapq from math import floor, ceil #from operator import itemgetter from functools import lru_cache #inf = 10**17 #mod = 10**9 + 7 N = int(eval(input())) A = list(map(int, input().split())) @lru_cache(maxsize=None) def gcd(a, b): if b == 0: return a else: return gcd(b, a % b) def gcd_group(arr): g = gcd(arr[0], arr[1]) for i in range(2, len(arr)): g = gcd(g, arr[i]) return g def lcm(a, b): g = gcd(a, b) return (a*b)//g def lcm_group(arr): l = lcm(arr[0], arr[1]) for i in range(2, len(arr)): l = lcm(l, arr[i]) return l if len(A) == 2: print((max(A))) exit() res = 0 for i in range(N): arr = A[:i] + A[i+1:] res = max(res, gcd_group(arr)) print(res) if __name__ == '__main__': main()
#どっちで出すか注意, rstrip注意 #提出前に見返すこと! def main(): import sys input = sys.stdin.readline sys.setrecursionlimit(10000000) from collections import Counter, deque #from collections import defaultdict from itertools import combinations, permutations, accumulate #from itertools import product from bisect import bisect_left,bisect_right import heapq from math import floor, ceil #from operator import itemgetter #inf = 10**17 #mod = 10**9 + 7 N = int(eval(input())) A = list(map(int, input().split())) def gcd(a, b): if b == 0: return a else: return gcd(b, a % b) def gcd_group(arr): g = gcd(arr[0], arr[1]) for i in range(2, len(arr)): g = gcd(g, arr[i]) return g def lcm(a, b): g = gcd(a, b) return (a*b)//g def lcm_group(arr): l = lcm(arr[0], arr[1]) for i in range(2, len(arr)): l = lcm(l, arr[i]) return l l = [0] for i in range(N-1): l.append(gcd(l[-1], A[i])) r = [0] for i in range(N-1, 0, -1): r.append(gcd(r[-1], A[i])) res = 0 for i in range(N): res = max(res, gcd(l[i], r[-(i+1)])) print(res) if __name__ == '__main__': main()
p03061
import math import itertools n = int(eval(input())) a = list(map(int, input().split())) pf = [0]*(n+1) pb = [0]*(n+1) p = a[0] for i in range(n): p = math.gcd(p, a[i]) pf[i+1] = p p = a[-1] for i in range(-1, -n-1, -1): p = math.gcd(p, a[i]) pb[i-1] = p ans = [0]*n for i in range(n): ans[i] = math.gcd(pf[i], pb[i+1]) print((max(ans)))
import math import itertools n = int(eval(input())) a = list(map(int, input().split())) pf = [0] + list(itertools.accumulate(a, math.gcd)) pb = [0] + list(itertools.accumulate(reversed(a), math.gcd)) pb.reverse() ans = [0]*n for i in range(n): ans[i] = math.gcd(pf[i], pb[i+1]) print((max(ans)))
p03061
import collections from functools import reduce def gcd(u,v): if v: return gcd(v, u % v) else: return u n = int(input()) elems = list(map(int , input().split(' '))) dpp = [ None ] * len(elems) dps = [ None ] * len(elems) for i in range(len(elems)): dpp[i] = reduce(gcd, elems[:i+1]) for i in range(len(elems)): dps[len(elems) - 1 - i] = reduce(gcd, elems[- i - 1:]) r = 0 for i in range(len(elems)): u,v = dpp[i-1] if i-1 >= 0 else -1, dps[i+1] if i+1 < len(elems) else -1 r = max(r, gcd(u,v) if u != -1 and v != -1 else max(u,v)) print(r)
import collections def gcd(u,v): if v: return gcd(v, u % v) else: return u n = int(input()) elems = list(map(int , input().split(' '))) dpp = [ None ] * len(elems) dps = [ None ] * len(elems) dpp[0] = elems[0] for i in range(1,len(elems)): dpp[i] = gcd(elems[i], dpp[i-1]) dps[len(elems) -1] = elems[-1] for i in range(len(elems) - 2, -1, -1): dps[i] = gcd(elems[i], dps[i+1]) r = 0 for i in range(len(elems)): u,v = dpp[i-1] if i-1 >= 0 else -1, dps[i+1] if i+1 < len(elems) else -1 r = max(r, gcd(u,v) if u != -1 and v != -1 else max(u,v)) print(r)
p03061
def gcd(m,n): x=max(m,n) y=min(m,n) if x==0: return 0 while y!=0: x,y=y,x%y return x n = int(eval(input())) a = list(map(int, input().split())) b = [0] for i in range(n): a[i],a[n-1]=a[n-1],a[i] temp = a[0] for j in range(n-1): temp=gcd(temp,a[j]) if temp == 1: break if temp < max(b): break b.append(temp) a[i],a[n-1]=a[n-1],a[i] print((max(b)))
def gcd(m,n): x=max(m,n) y=min(m,n) while y!=0: x,y=y,x%y return x n = int(eval(input())) a = list(map(int, input().split())) b = [] l = [0] r = [0] for i in range(n): l.append(gcd(a[i],l[i])) r.append(gcd(a[n-1-i],r[i])) for i in range(n): b.append(gcd(l[i],r[n-1-i])) print((max(b)))
p03061
from math import gcd N, *A = list(map(int, open(0).read().split())) acc_l = [0] * (N + 1) acc_r = [0] * (N + 1) for i in range(1, N + 1): acc_l[i] = gcd(acc_l[i - 1], A[i - 1]) acc_r[i] = gcd(acc_r[i - 1], A[-i]) ans = 0 for i in range(N + 1): ans = max(ans, gcd(acc_l[i], acc_r[N - i - 1])) print(ans)
from math import gcd N, *A = list(map(int, open(0).read().split())) acc_l = [0] acc_r = [0] for i in range(N): acc_l.append(gcd(acc_l[-1], A[i])) acc_r.append(gcd(acc_r[-1], A[N - i - 1])) ans = 0 for i in range(N): ans = max(ans, gcd(acc_l[i], acc_r[N - i - 1])) print(ans)
p03061
def gcd(a, b): while True: a, b = b, a % b if b == 0: break return a def compute_gcd(ns): a = gcd(ns[0], ns[1]) for i in range(2, len(ns)): a = gcd(a, ns[i]) return a n = int(eval(input())) nums = list(map(int, input().split())) if n == 2: print((max(nums))) else: gcds = [] for i in range(n): ns = [nums[j] for j in range(n) if j != i] a = compute_gcd(ns) gcds.append(a) print((max(gcds)))
def gcd(a, b): while True: a, b = b, a % b if b == 0: break return a n = int(eval(input())) nums = list(map(int, input().split())) if n == 2: print((max(nums))) else: l_gcds = [nums[0]] r_gcds = [nums[-1]] for i in range(1, n - 1): l = gcd(l_gcds[-1], nums[i]) r = gcd(r_gcds[-1], nums[n - i - 1]) l_gcds.append(l) r_gcds.append(r) r_gcds = r_gcds[::-1] gcds = [l_gcds[-1], r_gcds[0]] for i in range(1, n - 1): gcds.append(gcd(l_gcds[i - 1], r_gcds[i])) print((max(gcds)))
p03061
N=int(eval(input())) nums = [int(i) for i in input().split()] def gcd(x, y): if x < y: x = x ^ y y = x ^ y x = x ^ y div = x % y while div != 0: x = y y = div div = x % y return y memo = {} memo[(0, 1)] = nums[0] memo[(N-1, N)] = nums[N-1] for i in range(2, N+1): memo[(0, i)] = gcd(memo[(0, i - 1)], nums[i-1]) # print("{} {} memo:{}".format(0, i, memo[(0,i)])) for i in reversed(list(range(0, N-1))): memo[(i, N)] = gcd(memo[(i + 1, N)], nums[i]) # print("{} {} memo:{}".format(i, N, memo[(i,N)])) res = 1 for i in range(1, N-1): res = max(res, gcd(memo[(0, i)], memo[(i+1, N)])) # print("gcd:{}".format(gcd(memo[(0, i)], memo[(i+1, N)]))) res = max(res, memo[(0, N-1)]) res = max(res, memo[(1, N)]) print(res)
N=int(eval(input())) nums = [int(i) for i in input().split()] def gcd(x, y): if x < y: x = x ^ y y = x ^ y x = x ^ y div = x % y while div != 0: x = y y = div div = x % y return y memo = {} memo[(0, 1)] = nums[0] memo[(N-1, N)] = nums[N-1] for i in range(2, N+1): memo[(0, i)] = gcd(memo[(0, i - 1)], nums[i-1]) for i in reversed(list(range(0, N-1))): memo[(i, N)] = gcd(memo[(i + 1, N)], nums[i]) res = 1 for i in range(1, N-1): res = max(res, gcd(memo[(0, i)], memo[(i+1, N)])) res = max(res, memo[(0, N-1)]) res = max(res, memo[(1, N)]) print(res)
p03061
N = int(eval(input())) A = [int(n) for n in input().split()] import math, copy def all_gcd(l): a = l[0] for i in range(1,len(l)): b = l[i] a = math.gcd(a, b) return a max_gcd = 0 for n in A: copied_A = copy.copy(A) copied_A.remove(n) max_gcd = max(max_gcd, all_gcd(copied_A)) print(max_gcd)
import math N = int(eval(input())) A = [int(n) for n in input().split()] gcd_l = [0] gcd_r = [0] for i in range(N): gcd_l.append(math.gcd(gcd_l[i], A[i])) gcd_r.append(math.gcd(gcd_r[i], A[-(i+1)])) gcd_r = gcd_r[::-1] max_gcd = 0 for i in range(N): max_gcd = max(max_gcd, math.gcd(gcd_l[i], gcd_r[i+1])) print(max_gcd)
p03061
import math import copy def gcd(a,b): if b==0:return a return gcd(b,a%b) N=int(eval(input())) A=list(map(int,input().split())) if N==2: print((max(A))) exit() else: max=0 for i in range(N): x = copy.deepcopy(A) del x[i] element = gcd(x[0], x[1]) if N==2: c = element else: for i in range(2,N-1): element=gcd(element,x[i]) c = element if c >= max: max = c print(max)
def gcd(a,b): if b==0: return a return gcd(b,a%b) N=int(eval(input())) A=list(map(int,input().split())) AL=[0]*N AR=[0]*N for i in range(N): if i == 0: AL[0] = A[0] AR[0] = A[N-1] else: AL[i] = gcd(AL[i-1],A[i]) AR[i] = gcd(AR[i-1],A[N-i-1]) max=0 for i in range(N): if i == 0: n_ex_gcd = AR[N-2] elif i == N-1: n_ex_gcd = AL[N-2] else: n_ex_gcd = gcd(AL[i-1],AR[N-i-2]) if n_ex_gcd > max: max = n_ex_gcd print(max)
p03061
def gcd(a, b): if b == 0: return a elif a == 0: return b else: return gcd(b, a % b) def solve(n, a): l, r = [], [] l = [0 for i in range(n + 1)] r = [0 for i in range(n + 1)] r[n] = 0 for i in range(0, n): if i == 0: l[0] = 0 else: l[i] = gcd(l[i - 1], a[i - 1]) for i in range(n, 0, -1): if i == n: r[i] = 0 else: r[i] = gcd(r[i+1], a[i]) m = 0 for i in range(n): # print('m', m) m = max(m, gcd(l[i], r[i + 1])) return m def input_from_console(): n = int(eval(input())) a = list(map(int, input().split())) return n, a def main(): n, a_list = input_from_console() print((solve(n, a_list))) if __name__ == "__main__": main()
def gcd(a, b): if b == 0: return a return gcd(b, a % b) def solve(n, a): l = [0] * n r = [0] * (n + 1) for i in range(1, n): l[i] = gcd(l[i - 1], a[i - 1]) for i in range(n - 1, 0, -1): r[i] = gcd(r[i + 1], a[i]) m = 0 for i in range(n): m = max(m, gcd(l[i], r[i + 1])) return m def input_from_console(): n = int(eval(input())) a = list(map(int, input().split())) return n, a def main(): n, a_list = input_from_console() print((solve(n, a_list))) if __name__ == "__main__": main()
p03061
import math from functools import reduce N = int(eval(input())) A = list(map(int,input().split())) ans = 1 for i in range(N): g = reduce(math.gcd,A[:i]+A[i+1:]) ans = max(ans,g) print(ans)
import math from collections import deque N = int(eval(input())) A = list(map(int,input().split())) M = 0 L = deque([0]) R = deque([0]) for i in range(1,N+1): L.append(math.gcd(L[-1],A[i-1])) R.appendleft(math.gcd(R[0],A[N-i])) for j in range(N): m = math.gcd(L[j],R[j+1]) M = max(M,m) print(M)
p03061
N = int(eval(input())) A = [int(i) for i in input().split()] def gcd(x, y): if x < y: x, y = y, x if y == 0: return x return gcd(x%y, y) L = [0] R = [0] for i in range(N): L.append(gcd(A[i], L[i])) R.append(gcd(A[-i-1], R[i])) R.reverse() M = [] for i in range(0, N): M.append(gcd(L[i], R[i+1])) print((max(M)))
N = int(eval(input())) A = [int(i) for i in input().split()] def gcd(x, y): if x < y: x, y = y, x while y != 0: x, y = y, x%y return x L = [0] R = [0] for i in range(N): L.append(gcd(A[i], L[i])) R.append(gcd(A[-i-1], R[i])) R.reverse() M = [] for i in range(0, N): M.append(gcd(L[i], R[i+1])) print((max(M)))
p03061
""" 最大公約数をもっとも落としている数Xを削る(=見ないことにする)、という発想に置き換える。 方針1: Xを特定する。 どうやって特定する? 各Aを素因数分解する。このとき、他の 方針2: 約数をカウントする。すべてのAの約数をカウントして総和する。 このとき、カウントがN個になる約数は初期状態での公約数である。 一方で、カウントがN-1個の約数は、その約数をもたない数が一つだけ存在するということなので、 そのような数Aを削ったときに、公約数になる。 したがって、カウントがN-1個以上の約数のうち最大のものが、数Xを削ったときの最大公約数である。 問題はどうやって約数をカウントするかだ。愚直にやるとO(N√max(A))かかるため間に合わない。 ただ、約数の数自体はせいぜい1000個くらいのはず。いったん素因数分解してから、各素因数を何個累乗させるかで考えればよいか。 """ def main(): from collections import Counter N = int(eval(input())) A = list(map(int,input().split())) count = {} for a in A: tmp = [] d = 2 while d*d <= a: while a%d == 0: tmp.append(d) a //= d d += 1 if a != 1: tmp.append(a) divides = [1] for k,v in list(Counter(tmp).items()): M = len(divides) for i in range(1,v+1): for j in range(M): divides.append(divides[j]*pow(k,i)) for d in divides: if d not in count: count[d] = 0 count[d] += 1 ans = 0 for k,v in list(count.items()): if v >= N-1: ans = max(ans,k) print(ans) main()
def gcd(a,b): if a == 0 or b == 0: return max(a,b) return a if b==0 else gcd(b,a%b) N = int(eval(input())) A = list(map(int,input().split())) rA = A[::-1] LEFT = [0] g = A[0] for i in range(N): g = gcd(g,A[i]) LEFT.append(g) RIGHT = [0] g = rA[0] for i in range(N): g = gcd(g,rA[i]) RIGHT.append(g) ans = 0 for i in range(1,N+1): ans = max(ans,gcd(LEFT[i-1],RIGHT[N-i])) print(ans)
p03061
import math import copy import sys import bisect input = sys.stdin.readline def divide(x): #約数配列 div=[1] check=2 for check in range(1,int(x**0.5)+1): if(x%check==0): div.append(check) div.append(x//check) return div def main(): n=int(eval(input())) a = list(map(int,input().split())) ans={} for i in range(n): div=divide(a[i]) for c in div: if c not in ans: ans[c]=1 else: ans[c]+=1 M=1 for c in ans: if ans[c]>=n-1: M=max(M,c) print(M) if __name__ == "__main__": main()
def gcd(a, b): #最大公約数 if b == 0: return a else: return gcd(b, a%b) def main(): n=int(eval(input())) a = list(map(int,input().split())) L=[a[0] for _ in range(n)] R=[a[n-1] for _ in range(n)] for i in range(1,n): L[i]=gcd(L[i-1],a[i]) for i in range(1,n): R[i]=gcd(R[i-1],a[n-1-i]) R.reverse() LR=[] for i in range(1,n-1): LR.append( gcd(L[i-1],R[i+1]) ) if LR==[]: print((max(L[n-2],R[1] ))) else: print((max(max(LR),L[n-2],R[1] ))) if __name__ == "__main__": main()
p03061
n = int(input()) a = input().split() cnt = 0 for i in a: a[cnt] = int(i) cnt += 1 chk = {} chk2 = {} def make_divisors(k): divisors = [] for i in range(1, int(k**0.5)+1): if k % i == 0: if i in chk: chk[i] += 1 else: chk[i] = 1 if i != k // i: key = int(k//i) if key in chk: chk[key] += 1 else: chk[key] = 1 return divisors for i in range(2): make_divisors(a[i]) cnt = 1 for i in range(2,len(a)): k = a[i] if k in chk: make_divisors(k) cnt += 1 continue del_list = [] for j in chk: if k % j == 0: chk[j] += 1 if chk[j] < cnt+1: del_list.append(j) for j in del_list: del chk[j] cnt += 1 answer = 0 for i in chk: if int(chk[i]) >= chk[1] - 1 and i > answer: answer = i print(answer)
n = int(input()) a = input().split() cnt = 0 for i in a: a[cnt] = int(i) cnt += 1 chk = {} chk2 = {} def make_divisors(k): divisors = [] for i in range(1, int(k**0.5)+1): if k % i == 0: if i in chk: chk[i] += 1 else: chk[i] = 1 if i != k // i: key = int(k//i) if key in chk: chk[key] += 1 else: chk[key] = 1 return divisors for i in range(2): make_divisors(a[i]) cnt = 1 for i in range(2,len(a)): k = a[i] if k not in chk2: chk2[k] = 1 else: if chk2[k] == 1: chk2[k] += 1 elif chk2[k] > 1: continue del_list = [] for j in chk: if k % j == 0: chk[j] += 1 if chk[j] < cnt+1: del_list.append(j) for j in del_list: del chk[j] cnt += 1 answer = 0 for i in chk: if int(chk[i]) >= chk[1] - 1 and i > answer: answer = i print(answer)
p03061
memo = {} def gcd(a, b): if (a, b) in list(memo.keys()): return memo[(a, b)] if b == 0: return a g = gcd(b, a % b) memo[(a, b)] = g return g n = eval(input()) a_list = list(map(int, input().split())) max_g = 0 for exclude in range(n): g = a_list[0] if exclude > 0 else a_list[1] for i, a in enumerate(a_list): if i == 0 or i == exclude: continue g_new = gcd(g, a) if (g, a) not in memo: memo[(g, a)] = g_new g = g_new if g <= max_g: break if g > max_g: max_g = g print(max_g)
def gcd(a, b): if b == 0: return a g = gcd(b, a % b) return g n = eval(input()) a_list = list(map(int, input().split())) gs1 = [None] * n gs1[0] = a_list[0] for i in range(1, n): gs1[i] = gcd(gs1[i - 1], a_list[i]) gs2 = [None] * n gs2[n - 1] = a_list[n - 1] for i in reversed(range(n - 1)): gs2[i] = gcd(gs2[i + 1], a_list[i]) max_g = 0 for exclude in range(n): if exclude == 0: g = gs2[1] elif exclude == n - 1: g = gs1[n - 2] else: g = gcd(gs1[exclude - 1], gs2[exclude + 1]) if g > max_g: max_g = g print(max_g)
p03061
import functools # import math def solve(): N = int(eval(input())) A = [int(i) for i in input().split()] # gcd = functools.reduce(math.gcd, A) max_gcd = 1 for i in range(N): A_ = A.copy() A_.remove(A[i]) max_gcd = max(max_gcd, functools.reduce(gcd, A_)) print(max_gcd) def gcd(a, b): while b != 0: a, b = b, a % b return a if __name__ == '__main__': solve()
# 解説を参考に作成 # import sys # sys.setrecursionlimit(10 ** 6) # import bisect # from collections import deque def gcd(a, b): """最大公約数""" a, b = (a, b) if a >= b else (b, a) if b == 0: return a return gcd(b, a % b) # from decorator import stop_watch # # # @stop_watch def solve(N, A): L = [0] * N L[0] = A[0] for i in range(1, N): L[i] = gcd(A[i], L[i - 1]) R = [0] * N R[-1] = A[-1] for i in range(1, N): R[-(i + 1)] = gcd(A[-(i + 1)], R[-i]) ans = 0 for i in range(N): if i == 0: ans = max(ans, R[i + 1]) elif i == N - 1: ans = max(ans, L[i - 1]) else: ans = max(ans, gcd(L[i - 1], R[i + 1])) print(ans) if __name__ == '__main__': # S = input() N = int(eval(input())) # N, M = map(int, input().split()) A = [int(i) for i in input().split()] # B = [int(i) for i in input().split()] # AB = [[int(i) for i in input().split()] for _ in range(N)] solve(N, A) # # test # from random import randint # from func import random_str # solve()
p03061
mod = 10 ** 9 + 7 mod2 = 2**61+1 from collections import deque import heapq from bisect import bisect_left, insort_left, bisect_right def iip(listed=True): ret = [int(i) for i in input().split()] if len(ret) == 1 and not listed: return ret[0] return ret def iip_ord(): return [ord(i) - ord("a") for i in eval(input())] def main(): ans = solve() if ans is not None: print(ans) def solve(): N = iip(False) A = iip() A.sort() A1 = [i for i in A] A2 = [i for i in A] ss1 = soinsuu_bunkai(A[0]) ss2 = soinsuu_bunkai(A[1]) ah1 = [1 for _ in A] ah2 = [1 for _ in A] #print(A) ak1 = 1 for i in ss1: out = 0 ahk = None for j, a in enumerate(A1): if a % i != 0: out += 1 if out == 2: #2回アウトなら終了。 break else: ahk = j else: A1[j] //= i if out == 2: continue elif out == 1: ah1[ahk] *= i else: ak1 *= i ak2 = 1 for i in ss2: out = 0 ahk = None for j, a in enumerate(A2): if a % i != 0: out += 1 if out == 2: #2回アウトなら終了。 break else: ahk = j else: A2[j] //= i if out == 2: continue elif out == 1: ah2[ahk] *= i else: ak2 *= i #print(ak1) #print(ah1) #print(ak2) #print(ah2) print((max(ak1*max(ah1), ak2*max(ah2)))) #####################################################ライブラリ集ここから def fprint(s): for i in s: print(i) def split_print_space(s): print((" ".join([str(i) for i in s]))) def split_print_enter(s): print(("\n".join([str(i) for i in s]))) def koenai_saidai_x_index(sorted_list, n): l = 0 r = len(sorted_list) if len(sorted_list) == 0: return False if sorted_list[0] > n: return False while r - l > 1: x = (l + r) // 2 if sorted_list[x] == n: return x elif sorted_list[x] > n: r = x else: l = x return l def searchsorted(sorted_list, n, side): if side not in ["right", "left"]: raise Exception("sideはrightかleftで指定してください") l = 0 r = len(sorted_list) if n > sorted_list[-1]: # print(sorted_list) return len(sorted_list) if n < sorted_list[0]: return 0 while r - l > 1: x = (l + r) // 2 if sorted_list[x] > n: r = x elif sorted_list[x] < n: l = x else: if side == "left": r = x elif side == "right": l = x if side == "left": if sorted_list[l] == n: return r - 1 else: return r if side == "right": if sorted_list[l] == n: return l + 1 else: return l def soinsuu_bunkai(n): ret = [] for i in range(2, int(n ** 0.5) + 1): while n % i == 0: n //= i ret.append(i) if i > n: break if n != 1: ret.append(n) return ret def conbination(n, r, mod, test=False): if n <= 0: return 0 if r == 0: return 1 if r < 0: return 0 if r == 1: return n ret = 1 for i in range(n - r + 1, n + 1): ret *= i ret = ret % mod bunbo = 1 for i in range(1, r + 1): bunbo *= i bunbo = bunbo % mod ret = (ret * inv(bunbo, mod)) % mod if test: # print(f"{n}C{r} = {ret}") pass return ret def inv(n, mod): return power(n, mod - 2) def power(n, p, mod_= mod): if p == 0: return 1 if p % 2 == 0: return (power(n, p // 2, mod_) ** 2) % mod_ if p % 2 == 1: return (n * power(n, p - 1, mod_)) % mod_ if __name__ == "__main__": main()
mod = 10 ** 9 + 7 mod2 = 2**61+1 from collections import deque import heapq from bisect import bisect_left, insort_left, bisect_right def iip(listed=True): ret = [int(i) for i in input().split()] if len(ret) == 1 and not listed: return ret[0] return ret def iip_ord(): return [ord(i) - ord("a") for i in eval(input())] def main(): ans = solve() if ans is not None: print(ans) def solve(): N = iip(False) A = iip() A.sort() A1 = [i for i in A] A2 = [i for i in A] ss1 = soinsuu_bunkai(A[0]) ss2 = soinsuu_bunkai(A[1]) ah1 = [1 for _ in A] ss1.extend(ss2) #print(A) ak1 = 1 for i in ss1: out = 0 ahk = None for j, a in enumerate(A1): if a % i != 0: out += 1 if out == 2: #2回アウトなら終了。 break else: ahk = j else: A1[j] //= i if out == 2: continue elif out == 1: ah1[ahk] *= i else: ak1 *= i #print(ak1) #print(ah1) #print(ak2) #print(ah2) print((ak1*max(ah1))) #####################################################ライブラリ集ここから def fprint(s): for i in s: print(i) def split_print_space(s): print((" ".join([str(i) for i in s]))) def split_print_enter(s): print(("\n".join([str(i) for i in s]))) def koenai_saidai_x_index(sorted_list, n): l = 0 r = len(sorted_list) if len(sorted_list) == 0: return False if sorted_list[0] > n: return False while r - l > 1: x = (l + r) // 2 if sorted_list[x] == n: return x elif sorted_list[x] > n: r = x else: l = x return l def searchsorted(sorted_list, n, side): if side not in ["right", "left"]: raise Exception("sideはrightかleftで指定してください") l = 0 r = len(sorted_list) if n > sorted_list[-1]: # print(sorted_list) return len(sorted_list) if n < sorted_list[0]: return 0 while r - l > 1: x = (l + r) // 2 if sorted_list[x] > n: r = x elif sorted_list[x] < n: l = x else: if side == "left": r = x elif side == "right": l = x if side == "left": if sorted_list[l] == n: return r - 1 else: return r if side == "right": if sorted_list[l] == n: return l + 1 else: return l def soinsuu_bunkai(n): ret = [] for i in range(2, int(n ** 0.5) + 1): while n % i == 0: n //= i ret.append(i) if i > n: break if n != 1: ret.append(n) return ret def conbination(n, r, mod, test=False): if n <= 0: return 0 if r == 0: return 1 if r < 0: return 0 if r == 1: return n ret = 1 for i in range(n - r + 1, n + 1): ret *= i ret = ret % mod bunbo = 1 for i in range(1, r + 1): bunbo *= i bunbo = bunbo % mod ret = (ret * inv(bunbo, mod)) % mod if test: # print(f"{n}C{r} = {ret}") pass return ret def inv(n, mod): return power(n, mod - 2) def power(n, p, mod_= mod): if p == 0: return 1 if p % 2 == 0: return (power(n, p // 2, mod_) ** 2) % mod_ if p % 2 == 1: return (n * power(n, p - 1, mod_)) % mod_ if __name__ == "__main__": main()
p03061
#!/usr/bin/env python3 import sys import math from collections import Counter import collections INF = float("inf") def factorial(n): # 試し割りによる素因数分解 prime_count = collections.Counter() for i in range(2, int(math.sqrt(n)) + 2): while n % i == 0: n /= i prime_count[i] += 1 if n > 1: prime_count[int(n)] += 1 return prime_count def GCD(a, b): if a == 0: return b else: return GCD(b % a, a) def GCDs(*a): # リストで入力しないよう注意。 if len(a) == 0: return -1 # エラー if len(a) == 1: return a[0] res = a[0] for i in range(1, len(a)): res = GCD(res, a[i]) return res def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) # divisors.sort() return divisors def solve(N: int, A: "List[int]"): c1 = make_divisors(A[0]) c2 = make_divisors(A[1]) c = sorted(list(set(c1 + c2))) OKs = [] for cv in c: if sum([1 if a % cv == 0 else 0 for a in A]) >= N-1: OKs.append(cv) print((max(OKs))) # b = A[0] # m = INF # mi = -1 # for i in range(N): # g = GCD(A[i], b) # print(g) # if m > g: # m = g # mi = i # buf = None # for i in range(N): # if mi == i: # continue # if buf is None: # buf = A[i] # else: # buf = GCD(buf, A[i]) # print([buf, GCDs(*A[1:])]) # print("回答: ", max([buf, GCDs(*A[1:])])) # # print(g) # s = SegmentTree(N) # for i in range(N): # s.update(i, A[i]) # # print("tree ", s.tree) # g = [] # for i in range(N): # # iを覗いたGCDをとる # if i == 0: # g.append(s.query(1, N)) # elif i == N-1: # g.append(s.query(0, N-1)) # else: # # print(s.query(0, i), s.query(i+1, N)) # g.append(GCD(s.query(0, i), s.query(i+1, N))) # # print(g) # # print("回答2: ", max(g)) # print(max(g)) # g = [] # for i in range(N): # buf = None # for j in range(N): # if i == j: # continue # if buf is None: # buf = A[j] # else: # buf = GCD(buf, A[j]) # g.append(buf) # # print(g) # print("正解:", max(g)) return def main(): def iterate_tokens(): for line in sys.stdin: for word in line.split(): yield word tokens = iterate_tokens() N = int(next(tokens)) # type: int A = [int(next(tokens)) for _ in range(N)] # type: "List[int]" solve(N, A) if __name__ == '__main__': main()
#!/usr/bin/env python3 import sys import math from collections import Counter import collections INF = float("inf") def factorial(n): # 試し割りによる素因数分解 prime_count = collections.Counter() for i in range(2, int(math.sqrt(n)) + 2): while n % i == 0: n /= i prime_count[i] += 1 if n > 1: prime_count[int(n)] += 1 return prime_count def GCD(a, b): if a == 0: return b else: return GCD(b % a, a) def GCDs(*a): # リストで入力しないよう注意。 if len(a) == 0: return -1 # エラー if len(a) == 1: return a[0] res = a[0] for i in range(1, len(a)): res = GCD(res, a[i]) return res def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) # divisors.sort() return divisors def solve(N: int, A: "List[int]"): asc = [0] for i in range(N): asc.append(GCD(asc[-1], A[i])) desc = [0] for i in range(N): desc.append(GCD(desc[-1], A[N-i-1])) buf = [] for i in range(N): buf.append(GCD(asc[i], desc[N-i-1])) print((max(buf))) return def main(): def iterate_tokens(): for line in sys.stdin: for word in line.split(): yield word tokens = iterate_tokens() N = int(next(tokens)) # type: int A = [int(next(tokens)) for _ in range(N)] # type: "List[int]" solve(N, A) if __name__ == '__main__': main()
p03061
from functools import reduce def gcd_base(x, y): if x >= y: while y != 0: x, y = y, x % y return x else: while x != 0: y, x = x, y % x return y def gcd(numbers): return reduce(gcd_base, numbers) N = int(eval(input())) A = list(map(int, input().split())) GCD = [] for i in range(N): a = A.pop(0) GCD.append(gcd(A)) A.append(a) print((max(GCD)))
def gcd(x, y): if x >= y: while y != 0: x, y = y, x % y return x else: while x != 0: y, x = x, y % x return y N = int(eval(input())) A = list(map(int, input().split())) L = [0, 0] for ai in A: L.append(gcd(L[-1], ai)) R = [0, 0] for ai in A[::-1]: R.append(gcd(R[-1], ai)) print((max(gcd(l, r) for l, r in zip(L, reversed(R)))))
p03061
# -*- coding: utf-8 -*- import sys import math from bisect import bisect_left from bisect import bisect_right import collections input = sys.stdin.readline # bisect_left(lists, 3) # bisect_right(lists, 3) def main(): N = int(eval(input())) A = input().split() A = [int(s) for s in A] ans = -1 Lis = [[-1 for _ in range(N)] for _ in range(N)] for i, val in enumerate(A): tmp = -1 for j, vol in enumerate(A): if i == j: continue if tmp == -1: tmp = vol continue if Lis[i][j] != -1: tmp = Lis[i][j] else: tmp = gcd(vol, tmp) Lis[i][j] = tmp if ans == -1 or tmp > ans: ans = tmp print(ans) def gcd(a, b): if a > b: a, b = b, a while a > 0: a, b = b % a, a return b if __name__ == "__main__": main()
# -*- coding: utf-8 -*- import sys import math from bisect import bisect_left from bisect import bisect_right import collections input = sys.stdin.readline # bisect_left(lists, 3) # bisect_right(lists, 3) def main(): N = int(eval(input())) A = input().split() A = [int(s) for s in A] base = -1 for i, val in enumerate(A): if i == 0: base == val continue base = gcd(val, base) ans = base for i, val in enumerate(A): tmp = -1 for j, vol in enumerate(A): if i == j: continue if tmp == -1: tmp = vol continue tmp = gcd(vol, tmp) if tmp <= base: break if tmp > ans: ans = tmp print(ans) def gcd(a, b): if a > b: a, b = b, a while a > 0: a, b = b % a, a return b if __name__ == "__main__": main()
p03061
class SegmentTree: def __init__(self, seq, func="min"): if func=="min": self.f = min self.e = float('inf') if func=="max": self.f = max self.e = -float('inf') if func=="gcd": self.f = gcd self.e = 0 self._n = len(seq) self.n_seg = 2**(self._n-1).bit_length() self.seg = [self.e]*2*self.n_seg for i in range(self._n): self.seg[self.n_seg+i-1] = seq[i] for i in range(self.n_seg-2, -1, -1): self.seg[i] = self.f(self.seg[2*i+1], self.seg[2*i+2]) def update(k, val): k += self.n_seg -1 self.seg[k] = val while k+1: k = (k-1)//2 self.seg[k] = self.f(self.seg[k*2+1], self.seg[k*2+2]) def query(self, a, b): if b<=a: return self.e a += self.n_seg-1 b += self.n_seg-2 res = self.e while b-a>1: if a&1==0: res = self.f(res, self.seg[a]) if b&1==1: res = self.f(res, self.seg[b]) b -= 1 a = a//2 b = (b-1)//2 if a==b: res = self.f(res, self.seg[a]) else: res = self.f(self.f(res, self.seg[a]), self.seg[b]) return res def __repr__(self): ret = str(self.seg[self._n-1:]) return ret def gcd(a, b): if b>a: a, b = b, a while b: a, b = b, a%b return a if __name__=="__main__": N = int(eval(input())) A = list(map(int, input().split())) A_seg = SegmentTree(A, func="gcd") ans = -1 for i in range(N): ans = max(ans, gcd(A_seg.query(0, i), A_seg.query(i+1, N))) print(ans)
def gcd(a, b): if b==0: return a while b>0: a, b = b, a%b return a N = int(eval(input())) A = list(map(int, input().split())) S_left = [0 for _ in range(N+1)] S_right = [0 for _ in range(N+1)] for i in range(N): S_left[i+1] = gcd(S_left[i], A[i]) S_right[i+1] = gcd(S_right[i], A[-i-1]) S_right = S_right[::-1] S_left = S_left + [0] S_right = [0] + S_right ans = 0 for i in range(1, N+1): ans = max(ans, gcd(S_left[i-1], S_right[i+1])) print(ans)
p03061
n=int(eval(input())) l=list(map(int,input().split())) gcds=[] def gcd(a,b): if b==0: return a return gcd(b,a%b) for i in range(len(l)): omitlist=list(l) omitlist.pop(i) n=len(omitlist) if n==1: gcds.append(omitlist[0]) else: element = gcd(omitlist[0], omitlist[1]) if n==2: gcds.append(element) else: for i in range(2,n): element=gcd(element,omitlist[i]) gcds.append(element) print((max(gcds)))
n=int(eval(input())) left=list(map(int,input().split())) right=list(left) right.reverse() gcds=[] gcdleft=[] gcdright=[] gcdleft.append(left[0]) gcdright.append(right[0]) def gcd(a,b): if b==0: return a return gcd(b,a%b) if n==2: gcds.append(gcdleft[0]) gcds.append(gcdright[0]) else: for i in range(1,n-1): gcdleft.append(gcd(gcdleft[i-1],left[i])) gcdright.append(gcd(gcdright[i-1],right[i])) gcds.append(gcdright[-1]) for i in range(0,n-2): gcds.append(gcd(gcdleft[i],gcdright[n-3-i])) gcds.append(gcdleft[-1]) print((max(gcds)))
p03061
def gcd(a, b): if b == 0: return a else: return gcd(b, a%b) def gcd_arr(arr, N): if N == 2: return gcd(arr[0], arr[1]) elif N == 1: return arr[0] else: mid = N // 2 return gcd(gcd_arr(arr[:mid], mid), gcd_arr(arr[mid:], N-mid)) def gcd_arr_with_rm(arr, N, remove = 0): return gcd_arr(arr[0:remove] + arr[(remove+1):], N - 1) def solve(): N = int(input()) arr = [int(_) for _ in input().split()] max_gcd = 1 for j in range(N): tmp = gcd_arr_with_rm(arr, N, remove = j) if tmp > max_gcd: max_gcd = tmp print(str(max_gcd)) if __name__ == '__main__': solve()
def gcd(a, b): if b == 0: return a else: return gcd(b, a%b) def solve(): N = int(input()) arr = [int(_) for _ in input().split()] left = [0] * (N + 1) right = [0] * (N + 1) left[0] = 0 right[N] = 0 for i in range(1, N+1): left[i] = gcd(left[i - 1], arr[i - 1]) for i in range(N - 1, 0, -1): right[i] = gcd(right[i + 1], arr[i]) max_gcd = 0 for i in range(N): max_gcd = max(max_gcd, gcd(left[i], right[i+1])) print(str(max_gcd)) if __name__ == '__main__': solve()
p03061
import copy n = int(eval(input())) l = sorted(list(map(int, input().split()))) b = [] def gcd(a,b): while b: a, b = b, a % b return a if n == 2: print((max(l[0],l[1]))) elif n == 3: print((max(gcd(l[0],l[1]),gcd(l[0],l[2]),gcd(l[2],l[1])))) else: for i in range(n): tmp = copy.copy(l) tmp.pop(i) x = gcd(tmp[0],tmp[1]) for j in list(range(2, n-1)): x = gcd(x,tmp[j]) b.append(x) print((max(b)))
def gcd(a,b): while b:a,b=b,a%b return a n,a,b=int(eval(input())),list(map(int,input().split())),[] if n==2:print((max(a[0],a[1]))) elif n==3:print((max(gcd(a[0],a[1]),gcd(a[0],a[2]),gcd(a[1],a[2])))) else: no,mi=a[0],a[0] for i in range(1,n): s=gcd(no,a[i]) if s!=no: no=max(s,mi) mi=gcd(s,mi) print(no)
p03061
n=int(eval(input())) A=list(map(int,input().split())) divsors=[] for i in range(n): for j in range(1,int(A[i]**(1/2)+1)): if A[i]%j==0: divsors.append(j) if j!=A[i]//j: divsors.append(A[i]//j) set_divsors=sorted(list(set(divsors)))[::-1] for i in range(len(set_divsors)): a=divsors.count(set_divsors[i]) if a==n or a==n-1: print((set_divsors[i])) break
n=int(eval(input())) A=[]*n A[:]=list(map(int,input().split())) def gcd(a,b): while b: a,b=b,a%b return a left=[0]*n right=[0]*n for i in range(1,n): left[i]=gcd(left[i-1],A[i-1]) right[n-1-i]=gcd(right[n-i],A[n-i]) ans=0 for i,j in zip(left,right): ans=max(ans,gcd(i,j)) print(ans)
p03061
from functools import reduce def gcd(a,b): while b!=0: a,b=b,a%b return a def gcd_list(numbers): return reduce(gcd, numbers) N = int(eval(input())) A = list(map(int, input().split())) max_ans = 0 for i in range(len(A)): tmp = A[:i] + A[1+i:] ans = gcd_list(tmp) if max_ans < ans: max_ans = ans print(max_ans)
def gcd(a,b): while b!=0: a,b=b,a%b return a N = int(eval(input())) A = list(map(int, input().split())) # 累積最大公約数的な head = [] tail = [] head.append(A[0]) tail.append(A[-1]) for i, j in zip(A[1:], A[N-2::-1]): head.append(gcd(head[-1], i)) tail.append(gcd(tail[-1], j)) ans = 0 for i in range(len(head)-2): tmp = gcd(head[i], tail[len(tail)-1-2-i]) if ans < tmp: ans = tmp print((max(head[-1], head[-2], tail[-2], ans)))
p03061
def gcd(a, b): while b: a, b = b, a % b return a N = int(eval(input())) A = list(map(int, input().split())) d = {} m = [] if len(A) == 2: print((max(A))) exit() for i in range(N): _A = [] _A.extend(A[0:i]) _A.extend(A[i+1:N]) for j in range(1, len(_A)): if j == 1: tmp = gcd(_A[j], _A[j-1]) else: tmp = gcd(_A[j], tmp) m.append(tmp) print((max(m)))
def gcd(a, b): while b: a, b = b, a % b return a N = int(eval(input())) A = list(map(int, input().split())) L = [0] * N R = [0] * N L[0] = A[0] R[N-1] = A[-1] for n in range(1, N): L[n] = gcd(L[n - 1], A[n]) for n in reversed(list(range(N-1))): R[n] = gcd(R[n + 1], A[n]) ans = 0 for n in range(N): if n == 0: ans = max(ans, R[n+1]) elif n == N - 1: ans = max(ans, L[n-1]) else: ans = max(ans, gcd(L[n-1], R[n+1])) print(ans)
p03061
from collections import deque def gcm(a, b): if a < b: a = a+b b=a-b a = a-b if b == 0: return a else: r = a%b return b if r == 0 else gcm(b, r) N = int(eval(input())) A = list(map(int, input().split())) L = deque([0]) for i in range(1, N): L.append(gcm(L[-1],A[i-1])) R = deque([0]) for i in reversed(list(range(N-1))): R.appendleft(gcm(R[0],A[i+1])) ans = 0 for i in range(N): ans = max(ans, gcm(L[i],R[i])) print(ans)
import sys sys.setrecursionlimit(10**5) def GCM(a, b): if a < b: a += b b = a-b a -= b if a % b == 0: return b else: return GCM(b, a%b) N = int(eval(input())) A = list(map(int, input().split())) l2r =[] r2l = [] g = A[0] for a in A: g = GCM(g, a) l2r.append(g) g = A[-1] for a in reversed(A): g = GCM(g, a) r2l.append(g) r2l = list(reversed(r2l)) ans = r2l[1] for i in range(1, N-1): ans = max(ans, GCM(l2r[i-1], r2l[i+1])) ans = max(ans, l2r[N-2]) print(ans)
p03061
def gcd(x, y): if y == 0: return x return gcd(y, x % y) class SEGMENT_TREE: def __init__(self, N): self.N = N self.tree = [0] * (2 * N) # 問題により修正 def init(self, arr): N = self.N for i in range(N): self.tree[N + i] = arr[i] for i in range(N - 1, 0, -1): self.tree[i] = gcd( self.tree[i * 2], self.tree[i * 2 + 1]) # 問題により修正 def update(self, p, value): i = p + self.N self.tree[i] = value while i > 1: self.tree[i >> 1] = gcd(self.tree[i], self.tree[i ^ 1]) # 問題により修正 i >>= 1 def query(self, l, r): N = self.N res = 0 # 問題により修正 l += N r += N while l < r: if (l & 1): res = gcd(res, self.tree[l]) # 問題により修正 l += 1 if (r & 1): r -= 1 res = gcd(res, self.tree[r]) # 問題により修正 l >>= 1 r >>= 1 return res if __name__ == "__main__": N = int(eval(input())) A = list(map(int, input().split())) seg = SEGMENT_TREE(N) seg.init(A) ans = 0 for i, a in enumerate(A): seg.update(i, 0) ans = max(ans, seg.query(0, N)) seg.update(i, a) print(ans)
def gcd(x, y): if y == 0: return x return gcd(y, x % y) class SEGMENT_TREE: def __init__(self, N): self.N = N self.tree = [0] * (2 * N) # 問題により修正 def init(self, arr): N = self.N for i in range(N): self.tree[N + i] = arr[i] for i in range(N - 1, 0, -1): self.tree[i] = gcd( self.tree[i * 2], self.tree[i * 2 + 1]) # 問題により修正 def update(self, p, value): i = p + self.N self.tree[i] = value while i > 1: self.tree[i // 2] = gcd(self.tree[i], self.tree[i ^ 1]) # 問題により修正 i //= 2 def query(self, l, r): N = self.N res = 0 # 問題により修正 l += N r += N while l < r: if (l & 1): res = gcd(res, self.tree[l]) # 問題により修正 l += 1 if (r & 1): r -= 1 res = gcd(res, self.tree[r]) # 問題により修正 l //= 2 r //= 2 return res if __name__ == "__main__": N = int(eval(input())) A = list(map(int, input().split())) seg = SEGMENT_TREE(N) seg.init(A) ans = 0 for i in range(N): tmp = gcd(seg.query(0, i), seg.query(i + 1, N)) ans = max(ans, tmp) print(ans)
p03061
def make_divisors(n): divisors = [] for i in range(1, int(n**0.5) + 1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n // i) divisors.sort(reverse=True) return divisors N = int(eval(input())) A = sorted([int(x) for x in input().split()]) ans = 1 for i in range(2): divisors = make_divisors(A[i]) for divisor in divisors: indivisible_count = 0 for j in range(N): if A[j] % divisor != 0: indivisible_count += 1 if indivisible_count <= 1 and divisor > ans: ans = divisor print(ans)
def make_divisors(n): divisors = [] for i in range(1, int(n**0.5) + 1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n // i) return divisors N = int(eval(input())) A = sorted([int(x) for x in input().split()]) ans = 1 divisors = make_divisors(A[0]) + make_divisors(A[1]) divisors = sorted(set(divisors), reverse=True) for divisor in divisors: indivisible_count = 0 for i in range(N): if A[i] % divisor != 0: indivisible_count += 1 if indivisible_count <= 1: ans = divisor break print(ans)
p03061
# 2019-11-18 00:38:19(JST) import sys # import collections # import math # from string import ascii_lowercase, ascii_uppercase, digits # from bisect import bisect_left as bi_l, bisect_right as bi_r # import itertools # from functools import reduce # import operator as op # import re # import heapq # import array # from scipy.misc import comb # (default: exact=False) # import numpy as np def main(): n, k = [int(x) for x in sys.stdin.readline().split()] s = sys.stdin.readline().rstrip() happy_count = 0 happy_count += sum(1 for i in range(n-1) if s[i] == s[i+1]) happy_count += 2 * k ans = min(happy_count, n - 1) print(ans) if __name__ == "__main__": main()
# 2019-11-18 00:38:19(JST) import sys # import collections # import math # from string import ascii_lowercase, ascii_uppercase, digits # from bisect import bisect_left as bi_l, bisect_right as bi_r # import itertools # from functools import reduce # import operator as op # import re # import heapq # import array # from scipy.misc import comb # (default: exact=False) # import numpy as np def main(): n, k = [int(x) for x in sys.stdin.readline().split()] s = sys.stdin.readline().rstrip() happy_count = sum([0] + [1 for i in range(n-1) if s[i] == s[i+1]]) happy_count += 2 * k ans = min(happy_count, n - 1) print(ans) if __name__ == "__main__": main()
p02918
N,K=list(map(int, input().split())) S=list(input()) L=[] now=None for i,s in enumerate(S): if i==0: now=s cnt=1 elif now==s: cnt+=1 elif now!=s: L.append([now,cnt]) cnt=1 now=s else: L.append([now,cnt]) l=len(L) for i in range(1,min(K*2,l),2): s=L[i][0] if s=="L": L[i][0]="R" elif s=="R": L[i][0]="L" ans=0 prev=None for t in L: s=t[0] cnt=t[1] if prev is None: prev=s lcnt=cnt else: if prev==s: lcnt+=cnt elif prev!=s: ans+=(lcnt-1) lcnt=cnt prev=s else: ans+=(lcnt-1) print(ans)
# -*- coding: utf-8 -*- import sys N,K=list(map(int, sys.stdin.readline().split())) S=sys.stdin.readline().strip() L=[] cnt=0 for i,x in enumerate(S): if i==0: cnt+=1 prev=x else: if prev==x: #前の文字と今の文字が同じ cnt+=1 else: #前の文字と今の文字が異なる L.append(cnt) cnt=1 prev=x else: L.append(cnt) print(sum(L)-max(1,len(L)-2*K))
p02918
import sys,math,collections,itertools input = sys.stdin.readline N,K=list(map(int,input().split())) S=input().rstrip() ori_num=0 turn_num=0 for i in range(N): if i>0: if S[i-1] =='L' and S[i] =='L': ori_num += 1 if S[i-1] != S[i]: turn_num +=1 if i<N-1: if S[i] =='R' and S[i+1] =='R': ori_num += 1 while K: if turn_num >1: turn_num -= 2 K -= 1 ori_num += 2 elif turn_num ==1: ori_num +=1 K=0 print(ori_num)
import sys,math,collections,itertools input = sys.stdin.readline N,K=list(map(int,input().split())) S=input().rstrip() ori_num=0 turn_num=0 for i in range(N): if i>0: if S[i-1] =='L' and S[i] =='L': ori_num += 1 if S[i-1] != S[i]: turn_num +=1 if i<N-1: if S[i] =='R' and S[i+1] =='R': ori_num += 1 if turn_num >=2*K: ori_num += 2*K else: num = turn_num//2 num2 = turn_num%2 ori_num += 2*num+num2 print(ori_num)
p02918
import sys def solve(): input = sys.stdin.readline mod = 10 ** 9 + 7 n, k = list(map(int, input().rstrip('\n').split())) s = str(input().rstrip('\n')) cnt = 0 for i in range(1, n): if s[i-1] == s[i]: cnt += 1 print((min(n - 1, cnt + k * 2))) if __name__ == '__main__': solve()
import sys def solve(): input = sys.stdin.readline mod = 10 ** 9 + 7 n, k = list(map(int, input().rstrip('\n').split())) s = str(input().rstrip('\n')) cnt = 0 for i in range(1, n): if s[i] == s[i-1]: cnt += 1 print((min(n - 1, cnt + k * 2))) if __name__ == '__main__': solve()
p02918
# -*- coding: utf-8 -*- # https://atcoder.jp/contests/abc140/tasks/abc140_d N, K = list(map(int, input().split())) S = input().strip() happiness = 0 for idx in range(1, N): if S[idx] == S[idx - 1]: happiness += 1 # 一人しか幸せにできないときがあるか? # # あっ...これは不要なのでは... # 単に後述の幸せの最大値で丸めればよいのでは # always_two_happiness = S[0] == S[-1] # 幸せの最大値 max_happiness = N - 1 for i in range(K): happiness += 2 print((min(happiness, max_happiness)))
#!/usr/bin/env python3 # -*- coding: utf-8 -*- N, K = list(map(int, input().split())) S = input().strip() # 初期の幸せ度を調べる happiness = 0 previous_face = S[0] for i in range(1, N): if S[i] == previous_face: happiness += 1 else: previous_face = S[i] # 並べ替え後の幸せ度 happiness = happiness + 2 * K if N - 1 < happiness: happiness = N - 1 # 出力 print(happiness)
p02918
import sys input = sys.stdin.readline sys.setrecursionlimit(10**7) n, k = list(map(int, input().split())) s = input().rstrip() def split(s): new = [s[0]] for i in range(n-1): if s[i] != s[i+1]: new.append(s[i+1]) else: new[-1] += s[i+1] return new def transform(s, k): for _ in range(k): s = split(s) if len(s) == 1: s = ''.join(s) break idx = 1 s[idx] = s[idx].replace('L', 'X').replace('R', 'L').replace('X', 'R') s = ''.join(s) return s s = transform(s, k) def count(s): cnt = 0 for i in range(n): if i+1 < len(s) and s[i] == 'R' and s[i+1] == 'R': cnt += 1 elif i-1 >= 0 and s[i] == 'L' and s[i-1] == 'L': cnt += 1 return cnt print((count(s)))
import sys input = sys.stdin.readline sys.setrecursionlimit(10**7) n, k = list(map(int, input().split())) s = input().rstrip() def count(s): cnt = 0 for i in range(n): if i+1 < len(s) and s[i] == 'R' and s[i+1] == 'R': cnt += 1 elif i-1 >= 0 and s[i] == 'L' and s[i-1] == 'L': cnt += 1 return cnt print((min(count(s)+2*k, n-1)))
p02918
import sys input = sys.stdin.readline sys.setrecursionlimit(1000000) from collections import deque def getN(): return int(eval(input())) def getList(): return list(map(int, input().split())) import math n, k = getList() s = input().strip() s = s state = "X" cur_seq = 0 seq_nums = [] n_separate = 0 for c in s: # print(c, state == c) if state == c: cur_seq += 1 else: state = c seq_nums.append(cur_seq) cur_seq = 1 n_separate += 1 # print(n_separate) print((min(n - n_separate + 2 * k, n - 1)))
import sys from collections import defaultdict, deque, Counter import math # import copy from bisect import bisect_left, bisect_right # import heapq # sys.setrecursionlimit(1000000) # input aliases input = sys.stdin.readline getS = lambda: input().strip() getN = lambda: int(eval(input())) getList = lambda: list(map(int, input().split())) getZList = lambda: [int(x) - 1 for x in input().split()] INF = 10 ** 20 MOD = 10**9 + 7 divide = lambda x: pow(x, MOD-2, MOD) def getmoji(k): return chr(ord("a") + k) def main(): n, k = getList() s = getS() ko, fuko = 0, 0 for i, j in zip(s, s[1:]): if i == j: ko += 1 else: fuko += 1 print((ko + min(k*2, fuko))) if __name__ == "__main__": main()
p02918
import sys input = sys.stdin.readline ri = lambda: int(eval(input())) rs = lambda: input().rstrip() ril = lambda: list(map(int, input().split())) rsl = lambda: input().rstrip().split() ris = lambda n: [ri() for _ in range(n)] rss = lambda n: [rs() for _ in range(n)] rils = lambda n: [ril() for _ in range(n)] rsls = lambda n: [rsl() for _ in range(n)] def rle(s): import itertools return list([(x[0], len(list(x[1]))) for x in itertools.groupby(s)]) n, k = ril() s = rs() s = rle(s) m = len(s) if m <= 2 * k: print((n - 1)) else: print((n - m + 2 * k))
import sys input = sys.stdin.readline ri = lambda: int(eval(input())) rs = lambda: input().rstrip() ril = lambda: list(map(int, input().split())) rsl = lambda: input().rstrip().split() ris = lambda n: [ri() for _ in range(n)] rss = lambda n: [rs() for _ in range(n)] rils = lambda n: [ril() for _ in range(n)] rsls = lambda n: [rsl() for _ in range(n)] n, k = ril() s = rs() m = 1 for c0, c1 in zip(s, s[1:]): if c0 != c1: m += 1 if m <= 2 * k: print((n - 1)) else: print((n - m + 2 * k))
p02918
import sys from itertools import groupby read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 MOD = 1000000007 def main(): N, K = list(map(int, readline().split())) S = readline().strip() ans = groups = 0 for k, g in groupby(S): ans += len(list(g)) - 1 groups += 1 ans += 2 * K if ans > N - 1: ans = N - 1 print(ans) return if __name__ == '__main__': main()
import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 MOD = 1000000007 def main(): N, K = list(map(int, readline().split())) S = readline().strip() ans = 0 for i in range(N-1): if S[i] == S[i+1]: ans += 1 ans += 2 * K if ans > N - 1: ans = N - 1 print(ans) return if __name__ == '__main__': main()
p02918
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time, copy, functools sys.setrecursionlimit(10**7) inf = 10 ** 20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(-1, 0), (0, 1), (1, 0), (0, -1)] ddn = [(-1, 0), (-1, 1), (0, 1), (1, 1), (1, 0), (1, -1), (0, -1), (-1, -1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def pf(s): return print(s, flush=True) N = I() b = LI() result = [] while True: # print(b) for i in range(1, len(b)+1): # print(i) if b[-i] == len(b)-i+1: # print('break') result.append(b[-i]) del b[-i] break else: if not b: break print(-1) exit() for i in result[::-1]: print(i)
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time, copy, functools sys.setrecursionlimit(10**7) inf = 10 ** 20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(-1, 0), (0, 1), (1, 0), (0, -1)] ddn = [(-1, 0), (-1, 1), (0, 1), (1, 1), (1, 0), (1, -1), (0, -1), (-1, -1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def pf(s): return print(s, flush=True) N = I() b = LI() result = [] while True: # print(b) for i in range(1, len(b)+1): # print(i) if b[-i] == len(b)-i+1: # print('break') result.append(b[-i]) b.pop(-i) break else: if not b: break print(-1) exit() for i in result[::-1]: print(i)
p03089
import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time, copy, functools sys.setrecursionlimit(10**7) inf = 10 ** 20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(-1, 0), (0, 1), (1, 0), (0, -1)] ddn = [(-1, 0), (-1, 1), (0, 1), (1, 1), (1, 0), (1, -1), (0, -1), (-1, -1)] def LI(): return [int(x) for x in input().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def pf(s): return print(s, flush=True) N = I() b = LI() result = [] while True: # print(b) for i in range(1, len(b)+1): # print(i) if b[-i] == len(b)-i+1: # print('break') result.append(b[-i]) b.pop(-i) break else: if not b: break print(-1) exit() for i in result[::-1]: print(i)
N = int(input()) B = [int(x) - 1 for x in input().split()] # print('b', B) ans = [] while B: popped = -1 for i in reversed(range(len(B))): if B[i] == i: ans.append(i + 1) popped = B.pop(i) break if popped == -1: print(-1) quit() print(*ans[::-1], sep="\n")
p03089
n=int(eval(input())) l=list(map(int,input().split())) ansL=[] c=0 f=0 for j in range(n): for i in range(len(l)-1,-1,-1): if l[i]==i+1: ansL.append(l.pop(i)) c+=1 break if c!=n: print((-1)) else: for k in range(len(ansL)-1,-1,-1): print((ansL[k]))
n=int(eval(input())) l=list(map(int,input().split())) L=[] c=0 for j in range(n): for i in range(len(l)-1,-1,-1): if l[i]==i+1: L.insert(0,l.pop(i)) c+=1 break if c!=n: print((-1)) else: for k in range(len(L)): print((L[k]))
p03089
n=int(eval(input())) a=[] b=list(map(int,input().split())) for i in range(n): for j in range(n-i-1,-1,-1): if b[j]==j+1: a.append(b.pop(j)) break if len(a)<n: print((-1)) exit() a.reverse() for i in a: print(i)
n=int(eval(input())) a=[] b=list(map(int,input().split())) for i in range(n): for j in range(n)[n-i-1::-1]: if b[j]==j+1: a.append(b.pop(j)) break if len(a)<n: print((-1)) exit() a.reverse() for i in a: print(i)
p03089
def main(): n = int(eval(input())) b = list(map(int, input().split())) f = True ans = [] while len(b) > 0: sf = True for i in reversed(list(range(len(b)))): if b[i] == i+1: b.pop(i) ans.append(i+1) sf = False break if sf: f = False break if f: for v in reversed(ans): print(v) else: print("-1") if __name__ == "__main__": main()
def main(): n = int(eval(input())) b = list(map(int, input().split())) ans = [] f = True for i in reversed(list(range(n))): F = True for j in reversed(list(range(i+1))): if b[j] == j+1: ans.append(b.pop(j)) F = False break if F: f = False break if f: for v in reversed(ans): print(v) else: print((-1)) if __name__ == "__main__": main()
p03089
N = int(eval(input())) b = list(map(int, input().split())) a = [1, 2, 3, 4, 5] def f(a, ans): if len(a) == 0: for i in range(len(ans)): print((ans[len(ans) - i - 1])) exit() for i in range(len(a)): if i + 1 == a[i]: f(a[0:i] + a[i + 1:len(a)], ans + [i + 1]) f(b, []) print((-1))
N = int(eval(input())) b = list(map(int, input().split())) a = [1, 2, 3, 4, 5] def f(a, ans): if len(a) == 0: for i in range(len(ans)): print((ans[len(ans) - i - 1])) exit() for i in range(len(a) - 1, -1, -1): if i + 1 == a[i]: f(a[0:i] + a[i + 1:len(a)], ans + [i + 1]) break f(b, []) print((-1))
p03089
def main(): n, *b = list(map(int, open(0).read().split())) m = [] for k in range(1, n+1): for i in range(n - k, -1, -1): if b[i] == i + 1: b.pop(i) m.append(i+1) break if len(b) > 0: print((-1)) else: print(('\n'.join(map(str, m[::-1])))) if __name__ == '__main__': main()
def main(): n, *b = list(map(int, open(0).read().split())) m = [] for k in range(1, n + 1): for i in range(n - k, -1, -1): if b[i] == i + 1: b.pop(i) m.append(i + 1) break else: print((-1)) exit() print(('\n'.join(map(str, m[::-1])))) if __name__ == '__main__': main()
p03089
def BFS(Bs,del_idx,result): if Bs==[1]: return result if del_idx!=None: del Bs[del_idx] for i,b in enumerate(Bs): if i+1==b: DBs=Bs.copy() result.append(i+1) out=BFS(DBs,i,result) if out: return out else: del result[-1] return None def Solve(): output=[] N=int(eval(input())) Bs=[int(x) for x in input().split()] return BFS(Bs,None,[]) result=Solve() if result: result.reverse() for r in result: print(r) else: print((-1))
def BFS(Bs,del_idx,result): if Bs==[1]: return result if del_idx!=None: del Bs[del_idx] for i,b in enumerate(Bs): if b>i+1: return None for i,b in enumerate(Bs): if i+1==b: DBs=Bs.copy() result.append(i+1) out=BFS(DBs,i,result) if out: return out else: del result[-1] return None def Solve(): output=[] N=int(eval(input())) Bs=[int(x) for x in input().split()] return BFS(Bs,None,[]) result=Solve() if result: result.reverse() for r in result: print(r) else: print((-1))
p03089
def main(): N = int(eval(input())) B = list(map(int, input().split())) Bs = [B] Rs = [[]] for i in range(N): Bs_new = [] Rs_new = [] for b,r in zip(Bs,Rs): for j in range(N-i): if (b[j] == j+1): tmp = list(b) tmp2 = list(r) tmp2.insert(0,tmp.pop(j)) Bs_new.append(tmp) Rs_new.append(tmp2) Bs = Bs_new Rs = Rs_new if (0 < len(Rs)): R = Rs[0] print(("\n".join([str(i) for i in R]))) else: print((-1)) main()
def check(b, n): if (1 == n): if (1 == b[0]): return [1] else: return [] else: for (i,b_) in enumerate(b): if ((i+1) == b_): tmp = list(b) del tmp[i] res = check(tmp, n-1) #print(res, n-1) if (0 < len(res)): #print(res, b_) res.append(b_) return res return [] def main(): N = int(eval(input())) B = list(map(int, input().split())) res = check(B, N) if (0 < len(res)): print(("\n".join([str(i) for i in res]))) else: print((-1)) main()
p03089
n = int(eval(input())) b = list(map(int, input().split())) for i in range(n): if b[i] > i+1: print((-1)) break else: ans = [] while len(b) > 1: # print(ans,b) c = len(ans) f = b[0] for i in range(1, len(b))[::-1]: if b[i] == i + 1: # print("check", b[i:]) ans.append(b.pop(i)) break else: for i in range(1, len(b)): # print(f, i, b, n - c, ans) if f >= b[i]: ans.append(b.pop(i-1)) break elif n - c == b[i]: ans.append(b.pop(i)) break elif i == len(b) - 1: ans.append(b.pop(-1)) break else: f = b[i] ans.append(1) for i in range(n)[::-1]: print((ans[i]))
n = int(eval(input())) b = list(map(int, input().split())) for i in range(n): if b[i] > i+1: print((-1)) break else: ans = [] while len(b) > 0: f = b[0] for i in range(len(b))[::-1]: if b[i] == i + 1: ans.append(b.pop(i)) break for i in range(n)[::-1]: print((ans[i]))
p03089
N = int(eval(input())) B = list(map(int, input().split())) def dfs(stack, B): if len(B)==1: if B[0]==1: stack.append(1) return stack else: return None else: tmp = [] flag = False for i, b in enumerate(B): stack_ = stack + [b] B_ = B[:i] + B[i+1:] if b==i+1: tmp.append(dfs(stack_, B_)) for tp in tmp: if tp is not None: flag = True ans = tp if flag: return ans else: return None ans = dfs([], B) if ans is None: print('-1') else: ans = ans[::-1] for i in range(N): print((ans[i]))
N = int(eval(input())) B = list(map(int, input().split())) stack = [] for i in range(N): tmp = [] flag = True for j in range(len(B)): if B[j]==j+1: tmp.append(j) if tmp: tmp.sort(reverse=True) ans = tmp[0] B = B[:ans] + B[ans+1:] stack.append(ans+1) else: flag = False break if flag: stack = stack[::-1] for i in stack: print(i) else: print((-1))
p03089
import sys import time import copy N = int(eval(input())) b = [int(b) for b in input().split()] h = {} t1 = time.time() def f(b): t2 = time.time() if t2 - t1 > 1.9: print((-1)) sys.exit() key = "".join([str(x) for x in b]) if key in h: return copy.copy(h[key]) if len(b) == 1: h[key] = b if b[0] == 1 else [] return copy.copy(h[key]) for i in range(len(b)): i = len(b) - 1 - i if b[i] == i + 1: b_sub = copy.copy(b) b_i = b_sub.pop(i) a = f(b_sub) if len(a) != 0: a.append(b_i) h[key] = a return copy.copy(h[key]) h[key] = [] return copy.copy(h[key]) a = f(b) if len(a) == 0: print((-1)) else: for i in range(N): print((a[i]))
import sys import time import copy N = int(eval(input())) b = [int(b) for b in input().split()] h = {} t1 = time.time() def f(b): t2 = time.time() if t2 - t1 > 1.5: print((-1)) sys.exit() key = "".join([str(x) for x in b]) if key in h: return copy.copy(h[key]) if len(b) == 1: h[key] = b if b[0] == 1 else [] return copy.copy(h[key]) for i in range(len(b)): i = len(b) - 1 - i if b[i] == i + 1: b_sub = copy.copy(b) b_i = b_sub.pop(i) a = f(b_sub) if len(a) != 0: a.append(b_i) h[key] = a return copy.copy(h[key]) h[key] = [] return copy.copy(h[key]) a = f(b) if len(a) == 0: print((-1)) else: for i in range(N): print((a[i]))
p03089
LIST="" LIST=list(LIST) c=0 def func(S): global LIST global c if(len(S)==0): c=1 if(c==1): for i in range(len(LIST)-1,-1,-1): print((LIST[i])) exit() So=S[::] for i in range(len(S)): S=So[::] if(S[i]==(i+1)): LIST.append(S.pop(i)) func(S) if(len(LIST)==0): print("-1") exit() LIST.pop(-1) N=int(eval(input())) S=list(map(int,input().split())) for i in range(N): if((S[i] - i)>1): print("-1") exit() func(S) print("-1")
N=int(eval(input())) S=list(map(int,input().split())) LIST=list("") for i in range(N): if((S[i] - i)>1): print("-1") exit() while(len(S)>0): c=10**10 for i in range (len(S)): if(S[i]==i+1): c=i if(c==(10**10)): print("-1") exit() LIST.append(S.pop(c)) for i in range(len(LIST)-1,-1,-1): print((LIST[i]))
p03089
n = int(eval(input())) a = list(map(int,input().split())) def solve(l, ans): if l == []: return ans cnd = [] for i in range(len(l)): if l[i] == i+1: cnd.append(i) if cnd == []: return 0 for ind in cnd: ans.append(ind+1) cond = solve(l[0:ind] + l[(ind+1):(len(l)+1)], ans) if cond == 0: ans.pop() continue else: return cond return 0 ans = solve(a,[]) if ans == 0: print((-1)) else: for A in ans[::-1]: print(A)
n = int(eval(input())) a = list(map(int,input().split())) def solve(l,ans): if l == []: return ans for i in range(len(l)-1,-1,-1): if l[i] == i+1: ans.append(i+1) return solve(l[:i]+l[i+1:], ans) return 0 A = solve(a,[]) if A == 0: print((-1)) else: for a in A[::-1]: print(a)
p03089
def limited_insertion(N: int, B: list)->list: # print(N, B) if N == 1: return [1] if B[0] == 1 else [] # 後ろからみていって、インデックス(1-indexed)と # その位置の配列(B)の値が等しい最初のペアを探す。 # なければ失敗 for i in range(N, 0, -1): if i == B[i-1]: # 見つけたら、それを除いた配列に関して # 再帰的に同じことを行う。 # print('>>>pair', i, B[i-1]) rec = limited_insertion(N-1, B[:i-1] + B[i:]) if len(rec) > 0: return rec + [i] else: return [] return [] if __name__ == "__main__": N = int(eval(input())) B = [int(s) for s in input().split()] A = limited_insertion(N, B) if len(A) == 0: print((-1)) else: for a in A: print(a)
def limited_insertion(N: int, B: list) -> list: op = [] for i in range(N-1, -1, -1): for j in range(i, -1, -1): b = B[j] if i+1 < b: # invalid number return [] if j+1 == b: # remove b[j] B = B[:j] + B[j+1:] op.append(b) break else: # not found return [] return reversed(op) if __name__ == "__main__": N = int(eval(input())) B = [int(s) for s in input().split()] ans = limited_insertion(N, B) if ans: for a in ans: print(a) else: print((-1))
p03089
import copy def dfs(i, operations, rest_bs): if i == 0 and len(rest_bs) == 0: return operations for k, b in enumerate(rest_bs): j = k + 1 if j <= i and j == b: copied_operations = copy.deepcopy(operations) copied_operations.append(j) res = dfs(i-1, copied_operations, rest_bs[:k] + rest_bs[k+1:]) if res != -1: return res return -1 if __name__ == "__main__": N = int(eval(input())) bs = list(map(int, input().split())) res = dfs(N, [], bs) if res == -1: print((-1)) else: for n in reversed(res): print(n)
if __name__ == "__main__": N = int(eval(input())) bs = list(map(int, input().split())) operations = [] for i in range(N): j_remove = -1 for j in range(N-i): if bs[j] == j+1: j_remove = j if j_remove == -1: print("-1") exit() operations.append(bs.pop(j_remove)) for n in reversed(operations): print(n)
p03089
N = int(eval(input())) b = list(map(int, input().split())) def dfs(c): if len(c) == 0: return [] for i in range(1, len(c)+1): if c[i-1] > i: return False if c[i-1] == i: cc = c.copy() del cc[i-1] res = dfs(cc) if res is not False: res.append(i) return res return False res = dfs(b) if res is False: print((-1)) else: for i in res: print(i)
N = int(eval(input())) b = list(map(int, input().split())) def dfs(c): if len(c) == 0: return [] for i in range(len(c), 0, -1): if c[i-1] > i: return False if c[i-1] == i: cc = c.copy() del cc[i-1] res = dfs(cc) if res is not False: res.append(i) return res return False res = dfs(b) if res is False: print((-1)) else: for i in res: print(i)
p03089
import sys from collections import Counter def input(): return sys.stdin.readline().strip() # sys.setrecursionlimit(100000) def helper(cur: list, B, candi, ans, rest): if rest == 0: if cur == B: for i in ans: print(i) sys.exit() else: return for k, v in list(candi.items()): if v > 0 and len(cur) + 1 >= k: cur.insert(k - 1, k) candi[k] -= 1 helper(cur, B, candi, ans + [k], rest - 1) cur.pop(k - 1) candi[k] += 1 def main(): n = int(input().strip()) B = [int(i) for i in input().strip().split()] counter = Counter(B) helper([], B, counter, [], n) print((-1)) return if __name__ == "__main__": main()
import sys def input(): return sys.stdin.readline().strip() # sys.setrecursionlimit(100000) def main(): n = int(input().strip()) B = [int(i) for i in input().strip().split()] ans = [] ptr = len(B) while ptr > 0: if B[ptr - 1] == ptr: ans.append(B.pop(ptr - 1)) ptr = len(B) else: ptr -= 1 if len(ans) == n: for i in ans[::-1]: print(i) else: print((-1)) return if __name__ == "__main__": main()
p03089
n=int(eval(input())) ball = list(map(int,input().split())) ans = [] count = 0 while len(ball)>0: count += 1 for i in range(len(ball)-1,-1,-1): #print(ball,i) if i+1 ==ball[i]: move = ball.pop(i) ans.insert(0,move) break if count ==100000: break if len(ans) == n: for i in ans: print(i) else: print((-1))
n = int(eval(input())) b = list(map(int,input().split())) Flag = True memo = [] while Flag: Flag = False index = -1 for i, v in enumerate(b): if i == v-1: Flag = True index = i if index != -1: m = b.pop(index) memo.append(m) if len(b): print((-1)) else: memo.reverse() for aa in memo: print(aa)
p03089
#!/usr/bin/env python3 # -*- coding: utf-8 -*- import sys from itertools import chain from functools import reduce from collections import OrderedDict, Counter, deque import operator def IA(): return [int(x) for x in input().split()] def IM(N): return [IA() for _ in range(N)] N = int(input()) B = IA() sys.setrecursionlimit(500) def f(b, n): if n == 0: return [] for i, x in enumerate(b, 1): if i < x or n < x: return None for i, x in enumerate(b, 1): if i == x: ret = f(tuple(b[:i-1] + b[i:]), n-1) if ret is not None: return ret + [i] return None ans = f(B, N) if ans: print(*ans, sep="\n") else: print(-1)
#!/bin/env python3 IS = lambda: int(input()) IA = lambda: [int(x) for x in input().split()] N = IS() B = IA() def f(b, n): ans = [] while b: for i in range(len(b), 0, -1): j = i - 1 if i == b[j]: ans.append(i) b = b[:j] + b[j+1:] break else: return None return list(reversed(ans)) ans = f(B, N) if ans: print(*ans, sep="\n") else: print(-1)
p03089
N=int(eval(input())) b=list(map(int,input().split())) tmp=-1 idx=0 count=1 flag=True ans=[] while(len(b)): #print(idx) if idx<len(b): if b[idx]==count: tmp=idx idx+=1 count+=1 else: idx+=1 count+=1 if idx>(len(b)-1): if tmp==-1: flag=False break else: #print(tmp) ans.append(b[tmp]) del b[tmp] tmp=-1 idx=0 count=1 #print(ans) if flag: for i in range(len(ans)): print((ans[len(ans)-1-i])) else: print((-1))
N = int(eval(input())) b = list(map(int,input().split())) ans = [] for i in range(N): for j in range(len(b)-1,-1,-1): if b[j]==(j+1): ans += [b[j]] del b[j] break if len(b)!=0: print((-1)) exit() for i in range(N): print((ans[N-1-i]))
p03089
def main(): if 'get_ipython' not in globals(): # For Subsession N = int(eval(input())) # b = list(map(int, input().split())) b = [int(i) for i in input().split()] else: # b = [1,2,1] # b = [2,2] b = [1,1,1,2,2,1,2,3,2] N = len(b) if check(b,N) != True: print((-1)) def check(B,lenB): # if 'get_ipython' in globals(): print(B) if lenB == 0 : return True #for i in reversed(range(lenB)): for i in range(lenB-1,-1,-1): if B[i] == i+1: if check(B[:i]+B[(i+1):],lenB -1 ) == True: print((B[i])) return True break return False main()
import sys def main(): if 'get_ipython' not in globals(): # For Subsession N = int(eval(input())) b = [int(i) for i in input().split()] else: # b = [1,2,1] # b = [2,2] b = [1,1,1,2,2,1,2,3,2] N = len(b) ans = [] while True: for i in range(N-1,-1,-1): if b[i] == i+1: ans.append(i+1) del b[i] N = N -1 break if i == 0: print((-1)) sys.exit() if N == 0: break for i in reversed(ans): print(i) main()
p03089
N=int(eval(input())) B=list(map(int,input().split(' '))) def dfs(n,B,ans): if n==0: return ans[::-1] else: for num,i in enumerate(B): if num+1==i: res = dfs(n-1,B[:num]+B[num+1:],ans+[i]) if res: return res return False ans = dfs(N,B,[]) if not ans: print((-1)) else: for i in ans: print(i)
N=int(eval(input())) B=list(map(int,input().split(' '))) ans = [] for i in range(N): for n,j in enumerate(B[::-1]): if N-i-n==j: ans.append(B.pop(N-i-n-1)) break if len(ans)==N: for i in ans[::-1]: print(i) else: print((-1))
p03089
N = int(eval(input())) b_list = list(map(int, input().split())) generate_seq = [] def is_ok(b): len_b = len(b) if len_b == 1 and b[0] == 1: generate_seq.append(1) return True processing = [] for idx in range(len_b): if b[idx] != idx + 1: processing.append(False) else: b_tmp = b[:] del b_tmp[idx] tmp = is_ok(b_tmp) if tmp: generate_seq.append(idx + 1) return True return False result = is_ok(b_list) if result: print(('\n'.join(list(map(str, generate_seq))))) else: print((-1))
N = int(eval(input())) b_list = list(map(int, input().split())) generate_seq = [] def is_ok(b): len_b = len(b) if len_b == 1 and b[0] == 1: generate_seq.append(1) return True for idx, val in enumerate(b): if idx + 1 < val: return False processing = [] for idx in range(len_b): if b[idx] != idx + 1: processing.append(False) else: b_tmp = b[:] del b_tmp[idx] tmp = is_ok(b_tmp) if tmp: generate_seq.append(idx + 1) return True return False result = is_ok(b_list) if result: print(('\n'.join(list(map(str, generate_seq))))) else: print((-1))
p03089
import sys sys.setrecursionlimit(10**6) n = int(eval(input())) b = list(map(int , input().split())) def dfs(s, ans): #print(s, ans) if len(s) == 0: print(('\n'.join(map(str, reversed(ans))))) exit() return for i in range(len(s)): if s[i] == i+1: s1 = s[:i] + s[i+1:] ans.append(s[i]) dfs(s1, ans) if len(ans) > 0: ans.pop() dfs(b, []) print('-1')
import sys sys.setrecursionlimit(10**6) n = int(eval(input())) b = list(map(int , input().split())) def dfs(s, ans): if len(s) == 0: print(('\n'.join(map(str, reversed(ans))))) exit() return for i in range(len(s)): #if s[i] == i+1: #if s[i] == i+1 and max(s[:i] + [0]) >= i: if s[i] == i+1: s1 = s[:i] + s[i+1:] allok = True for j in range(len(s1)): if s1[j] > j+1: allok = False break #print(s[:i], s[i+1:],i) if allok: ans.append(s[i]) dfs(s1, ans) if len(ans) > 0: ans.pop() dfs(b, []) print('-1')
p03089
import sys sys.setrecursionlimit(10**6) n = int(eval(input())) b = list(map(int , input().split())) def dfs(s, ans): if len(s) == 0: print(('\n'.join(map(str, reversed(ans))))) exit() return for i in range(len(s)): #if s[i] == i+1: #if s[i] == i+1 and max(s[:i] + [0]) >= i: if s[i] == i+1: s1 = s[:i] + s[i+1:] allok = True for j in range(len(s1)): if s1[j] > j+1: allok = False break #print(s[:i], s[i+1:],i) if allok: ans.append(s[i]) dfs(s1, ans) if len(ans) > 0: ans.pop() dfs(b, []) print('-1')
n = int(eval(input())) b = list(map(int , input().split())) def f(c): for i in reversed(list(range(len(c)))): if c[i] == i+1: return (c[i], c[:i] + c[i+1:]) return (-1, c) ans = [] for i in range(n): (a, b) = f(b) if a == -1: print((-1)) exit() ans.append(a) #print(ans, b) print(('\n'.join(map(str, reversed(ans)))))
p03089
import sys sys.setrecursionlimit(2147483647) INF=float('inf') MOD=10**9+7 input=sys.stdin.readline n=int(eval(input())) s=list(map(int,input().split())) import copy def DEF(ary,ary2): #print(ary,ary2) global n,s if len(ary2)==n: #print(ary) if ary==s: for item in ary2: print(item) exit() else: for i in range(len(ary)+1): tmp = copy.deepcopy(ary) tmp.insert(i,i+1) DEF(tmp,ary2+[i+1]) DEF([],[]) print((-1))
n=int(eval(input())) s=list(map(int,input().split())) result=[] for i in range(n): posi=-1 for index,ss in enumerate(s): if ss==index+1: posi=index if posi==-1: print((-1)) exit() else: result.append(s[posi]) s.pop(posi) for item in result[::-1]: print(item)
p03089
n=int(eval(input())) b=list(map(int,input().split())) a=[0]*(n+1) a[0]=0 for i in b:a.insert(int(i)-1,i) if sum(a[:n])==sum(b): for i in range(n): print((a[i])) else:print((-1))
n=int(eval(input())) B=list(map(int,input().split())) a=[0] for b in B:a.insert(b-1,b) if sum(a[:n])==sum(B): for i in range(n):print((a[i])) else:print((-1))
p03089
from bisect import bisect_left, bisect_right from collections import Counter, defaultdict, deque, OrderedDict from copy import deepcopy from functools import lru_cache, reduce from math import ceil, floor from sys import setrecursionlimit import heapq import itertools import operator inf = float('inf') def get_int(): return int(eval(input())) def get_float(): return float(eval(input())) def get_str(): return input().strip() def get_list_of_int(): return [int(i) for i in input().split()] def get_list_of_float(): return [float(f) for f in input().split()] def get_list_of_char(): return list(input().strip()) def get_data(n, order=None, **kwargs): if not order: order = list(range(len(kwargs))) it = iter(order) var, fn = list(zip(*sorted(sorted(kwargs.items()), key=lambda _: next(it)))) rows = [] for _ in range(n): rows.append(input().split()) columns = list(zip(*rows)) exec("global "+", ".join(var)+"\n"+"\n".join( v+"=list(map(fn[{}], data[{}]))".format(i, i) for i, v in enumerate(var)), globals(), {"fn": list(fn), "data": list(columns)} ) return # inputs N = 0 B = [] def set_inputs(): global N, B N = get_int() B = get_list_of_int() return memo = dict() # n: int, b: List[int] def solve(b): if len(b) == 0: return [] s = str(b) if memo.get(s, None): return memo[s] possible_indices = [] for i, v in enumerate(b): if i + 1 == v: possible_indices.append(i) if len(possible_indices) == 0: memo[s] = [-1] return [-1] for i in possible_indices: ans = solve(b[:i] + b[i+1:]) if len(ans) == 1 and ans[0] == -1: continue memo[s] = ans + [i+1] return ans + [i+1] memo[s] = [-1] return [-1] def main(): setrecursionlimit(100000) set_inputs() for i in solve(B): print(i) return if __name__ == '__main__': main()
from bisect import bisect_left, bisect_right from collections import Counter, defaultdict, deque, OrderedDict from copy import deepcopy from functools import lru_cache, reduce from math import ceil, floor from sys import setrecursionlimit import heapq import itertools import operator inf = float('inf') def get_int(): return int(eval(input())) def get_float(): return float(eval(input())) def get_str(): return input().strip() def get_list_of_int(): return [int(i) for i in input().split()] def get_list_of_float(): return [float(f) for f in input().split()] def get_list_of_char(): return list(input().strip()) def get_data(n, order=None, **kwargs): if not order: order = list(range(len(kwargs))) it = iter(order) var, fn = list(zip(*sorted(sorted(kwargs.items()), key=lambda _: next(it)))) rows = [] for _ in range(n): rows.append(input().split()) columns = list(zip(*rows)) exec("global "+", ".join(var)+"\n"+"\n".join( v+"=list(map(fn[{}], data[{}]))".format(i, i) for i, v in enumerate(var)), globals(), {"fn": list(fn), "data": list(columns)} ) return # inputs N = 0 B = [] def set_inputs(): global N, B N = get_int() B = get_list_of_int() return # n: int, b: List[int] def solve(b): if len(b) == 0: return [] if sum(b) > len(b) * (len(b) + 1) // 2: return [-1] for i, v in enumerate(b): if v > i + 1: return [-1] possible_indices = [] for i, v in enumerate(b): if i + 1 == v: possible_indices.append(i) if len(possible_indices) == 0: return [-1] for i in possible_indices: ans = solve(b[:i] + b[i+1:]) if len(ans) == 1 and ans[0] == -1: continue return ans + [i+1] return [-1] def main(): setrecursionlimit(100000) set_inputs() for i in solve(B): print(i) return if __name__ == '__main__': main()
p03089
N = int(eval(input())) b = [int(_) for _ in input().split()] def delitable(numbers): return [v for i, v in enumerate(numbers) if v == i + 1] b_searched = set() b_unsearched = [] b_searched.add(tuple(b)) delit = delitable(b) if delit == []: print("-1") for delit_num in delit: b_unsearched.append([b[:delit_num - 1] + b[delit_num:], [delit_num]]) while b_unsearched: b, log = b_unsearched.pop() if b and max(b) > N - len(log): continue b_tuple = tuple(b) b_searched.add(b_tuple) delit = delitable(b) if not delit: if not b: log.reverse() print(("\n".join(map(str, log)))) break else: continue for delit_num in delit: b_temp = b[:delit_num - 1] + b[delit_num:] if not tuple(b_temp) in b_searched: b_unsearched.append([b_temp, log + [delit_num]]) else: print("-1")
N = int(eval(input())) b = [int(_) for _ in input().split()] def delitable(numbers): return [v for i, v in enumerate(numbers) if v == i + 1] log = [] while b: delit = delitable(b) if not delit: print((-1)) break del b[delit[-1] - 1] log.append(delit[-1]) else: log.reverse() print(("\n".join(map(str, log))))
p03089
def solve(remains, nums): if (len(remains)) == 0: [print(num) for num in nums[::-1]] exit() n_remains = [] n_nums = [] for i, num in enumerate(remains): if i + 1 == num: n_remains.append(remains[:i] + remains[i + 1:]) n_nums.append(nums + [i + 1]) if len(n_remains) == 0: return False for n_remain, n_num in zip(n_remains, n_nums): solve(n_remain, n_num) n = int(input()) B = [int(x) for x in input().split()] solve(B, []) print(-1)
def solve(remains, nums): if (len(remains)) == 0: [print(num) for num in nums[::-1]] exit() n_remain = None n_num = None for i, num in enumerate(remains): if i + 1 == num: n_remain = remains[:i] + remains[i + 1:] n_num = nums + [i + 1] if n_remain is None: return False solve(n_remain, n_num) n = int(input()) B = [int(x) for x in input().split()] solve(B, []) print(-1)
p03089
import sys input = sys.stdin.readline N=int(eval(input())) B=list(map(int,input().split())) def dfs(B,LEN,ANS): #print(B,LEN,ANS) if LEN==0: for a in ANS[::-1]: print(a) sys.exit() for i in range(LEN): if B[i]==i+1: C=B[:i]+B[i+1:] dfs(C,LEN-1,ANS+[i+1]) dfs(B,N,[]) print((-1))
import sys input = sys.stdin.readline N=int(eval(input())) B=list(map(int,input().split())) for i in range(N): if B[i]>i+1: print((-1)) sys.exit() def dfs(B,LEN,ANS): #print(B,LEN,ANS) if LEN==0: for a in ANS[::-1]: print(a) sys.exit() for i in range(LEN-1,-1,-1): if B[i]==i+1: C=B[:i]+B[i+1:] dfs(C,LEN-1,ANS+[i+1]) dfs(B,N,[]) print((-1))
p03089
# coding: utf-8 eval(input()) B_ = [int(i) for i in input().split()] def f (B, ans): if len(B) == 0: return ans for i in range(len(B)): if B[i] <= len(B) and B[i] == i+1 : B2 = B[:] ans2 = ans[:] ans2.append(B2.pop(B[i]-1)) result = f(B2, ans2) if result is not None: return result result = f(B_, []) if result is None: result = [-1] for s in result[::-1]: print(s)
# coding: utf-8 N = int(eval(input())) B = [int(i) for i in input().split()] ans = [] while (len(B) > 0): for _ in range(len(B)): for i in list(range(len(B)))[::-1]: if B[i] == i+1: ans.append(i+1) B.pop(i) break break if len(ans) != N: print((-1)) else: for i in ans[::-1]: print(i)
p03089
n = int(eval(input())) bs = list(map(int, input().split())) ans = [] def check(bs, pre): tmp = pre[:] if len(bs) == 0: ans.append(tmp) return cand = [] for i, b in enumerate(bs): if i + 1 == b: cand.append(i) if len(cand) == 0: return for i in cand: check(bs[:i] + bs[i+1:], [i + 1] + tmp) check(bs, []) if len(ans): for ai in ans[0]: print(ai) else: print((-1))
n = int(eval(input())) bs = list(map(int, input().split())) ans = [] def check(bs, pre): tmp = pre[:] if len(bs) == 0: ans.append(tmp) return cand = [] for i, b in enumerate(bs): if i + 1 == b: cand.append(i) if len(cand) == 0: return i = cand[-1] check(bs[:i] + bs[i+1:], [i + 1] + tmp) check(bs, []) if len(ans): for ai in ans[0]: print(ai) else: print((-1))
p03089
def check_val(ind): if ind > len(b): return False if b[ind-1] == ind: ans.append(ind) del b[ind-1] return True else: return False N,*b = map(int,open(0).read().split()) if b[0] != 1: print(-1) exit() set_b = sorted(set(b),reverse=True) ans = [] while len(b) != 0: flg = False for i in set_b: flg = check_val(i) if flg: break if set_b[-1] not in b: del set_b[-1] else: #消せるものがなくなった if len(b) == 0: print(*ans[::-1],sep="\n") else: print(-1)
def check_val(ind): if ind > len(b): return False if b[ind-1] == ind: ans.append(ind) del b[ind-1] if ind not in b: set_b.remove(ind) return True else: return False N,*b = map(int,open(0).read().split()) if b[0] != 1: print(-1) exit() set_b = sorted(set(b),reverse=True) ans = [] while len(b) != 0: flg = False for i in set_b: flg = check_val(i) if flg: break if flg == False: print(-1) exit() else: #消せるものがなくなった print(*ans[::-1],sep="\n")
p03089
N = int(eval(input())) list_b = list(map(int, input().split())) aaa = [[1, 1], [1, 2]] ans = [[1, 1], [1, 2]] for i in range(2,N): j = [] f = [] for d in range(len(aaa)): s = [] t = [] for k in range(i+1): a = aaa[d].copy() b = ans[d].copy() a.insert(k, k+1) b.append(k+1) s.append(a) t.append(b) j += s f += t aaa = j ans = f if list_b in aaa: index = aaa.index(list_b) anser = ans[index] for i in range(N): print((anser[i])) else: print('-1')
N = int(eval(input())) list_b = list(map(int, input().split())) ans = [0 for i in range(N)] finish = False for i in range(N-1, -1, -1): mx = -1 for k in range(i+1): if list_b[k] == k+1: mx = max(mx, k+1) if mx == -1: finish = True break else: ans[i] = mx for j in range(mx-1, i): list_b[j] = list_b[j+1] if not finish: for i in range(N): print((ans[i])) else: print((-1))
p03089
import collections N = int(eval(input())) B = list(map(int, input().split())) for i, b in enumerate(B, start=1): if b > i: print((-1)) exit() bnn = collections.defaultdict( lambda: collections.defaultdict(dict) ) def inv_sousa(B, N, now=tuple()): if N == 0: yield now else: if now in bnn[B][N] or max(B) > N: return bnn[B][N][now] = False for i in set(B): idx = i - 1 if B[idx] == i: yield from inv_sousa(B[:idx] + B[i:], N - 1, now=now + (B[idx],)) for x in inv_sousa(tuple(B), N): if x: for i in x[::-1]: print(i) break else: print((-1))
N = int(eval(input())) B = list(map(int, input().split())) inv_output = list() for i in range(N, 0, -1): for j in range(i, 0, -1): if B[j - 1] == j: inv_output.append(B.pop(j - 1)) break else: print((-1)) break else: for i in inv_output[::-1]: print(i)
p03089
from collections import Counter import sys sys.setrecursionlimit(10**7) n = int(input()) B = list(map(int, input().split())) c = Counter(B) A = [] history = [] def dfs(i): if i == n+1: if A == B: print(*history, sep='\n') exit() return 0 for j in reversed(range(1, i+1)): if not c[j]: continue c[j] -= 1 history.append(j) A.insert(j-1, j) dfs(i+1) A.pop(j-1) history.pop() c[j] += 1 dfs(1) print(-1)
n = int(input()) B = list(map(int, input().split())) A = [] for b in B: A.insert(b-1, b) if all(A[i] <= i+1 for i in range(n)): C = [] for a in A: C.insert(a-1, a) if B == C: print(*A, sep='\n') else: print(-1) else: print(-1)
p03089
from collections import deque def main(): n = int(eval(input())) b = list(map(int, input().split())) s = set() q = deque() q.append([tuple(b), [0]*n, 0]) ans = None while q: now, history, depth = q.popleft() if now in s: continue s.add(now) if len(now) == 0: ans = history break for i, j in enumerate(now): if i+1 == j: tmp = history[::] tmp[depth] = i+1 q.appendleft([tuple(now[:i] + now[i+1:]), tmp, depth+1]) if ans is None: print((-1)) else: for i in ans[::-1]: if i == 0: break print(i) if __name__ == "__main__": main()
n = int(eval(input())) b = list(map(int, input().split())) def check(b): for i in range(len(b))[::-1]: if i+1 == b[i]: return i return -1 ans = [] for i in range(n): ind = check(b) if ind >= 0: ans.append(ind+1) b = b[:ind] + b[ind+1:] else: print((-1)) exit() for i in ans[::-1]: print(i)
p03089
import copy n = int(eval(input())) goal = list(map(int, input().split(" "))) output = -1 def searchAns(goal, temp, left, proc): #print(temp, left, proc) if len(left) == 0: if temp == goal: return proc else: return -1 for num in left: #print(num, temp, left, proc) if num <= len(temp) + 1: copyTemp = copy.copy(temp) copyTemp.insert(num-1, num) copyLeft = copy.copy(left) copyLeft.remove(num) copyProc = copy.copy(proc) copyProc.append(num) result = searchAns(goal, copyTemp, copyLeft, copyProc) if result != -1: return result else: return -1 proc = searchAns(goal, [], goal, []) if proc == -1: print((-1)) else: for num in proc: print(num)
import copy n = int(eval(input())) goal = list(map(int, input().split(" "))) output = -1 procReverse = [] temp_goal = copy.copy(goal) for _ in range(n): index = list(range(1,len(temp_goal)+1)) for i in range(len(temp_goal)-1, -1, -1): #print(i, index, temp_goal) if index[i] == temp_goal[i]: procReverse.append(temp_goal[i]) temp_goal.pop(i) break else: print((-1)) break else: for i in range(n-1, -1, -1): print((procReverse[i]))
p03089
import sys sys.setrecursionlimit(20000000) input = sys.stdin.readline n = int(eval(input())) a = list(map(int,input().split())) for i in range(n): if i+1 < a[i]: print((-1)) exit() def dfs(x,ans,so): if x == n: if ans == a: so = so[::-1] for i in so: print(i) exit() return 0 for i in range(len(ans)): if ans[i] == i+1: ans.pop(i) so.append(i+1) dfs(x+1,ans,so) ans.insert(i,i+1) so.pop() return -1 print((dfs(0,a,[])))
import sys sys.setrecursionlimit(20000000) input = sys.stdin.readline n = int(eval(input())) a = list(map(int,input().split())) for i in range(n): if i+1 < a[i]: print((-1)) exit() def dfs(x,ans,so): if x == n: if ans == a: so = so[::-1] for i in so: print(i) exit() return 0 for i in range(len(ans)-1,-1,-1): if ans[i] == i+1: ans.pop(i) so.append(i+1) dfs(x+1,ans,so) ans.insert(i,i+1) so.pop() return -1 print((dfs(0,a,[])))
p03089
class Node: def __init__(self, prev, val, next): self.prev = prev self.val = val self.next = next NIL = 0 START = -1 END = -2 class List: def __init__(self, li): li.append(END) self.li = [Node(NIL, START, NIL)] for e in li: node = Node(self.li[-1], e, NIL) self.li[-1].next = node self.li.append(node) self.l = len(self.li) - 1 self.ans = [] def step(self): i = self.l u = self.li[-1] while u.val != START: if u.val == i: u.prev.next = u.next u.next.prev = u.prev self.ans.append(u.val) self.l -= 1 return True else: u = u.prev i -= 1 self.ans = [-1] return False def solve(self): for _ in range(self.l - 1): if not self.step(): break print(*self.ans[::-1], sep="\n") def main(): n = int(input()) b = list(map(int, input().split())) l = List(b) l.solve() if __name__ == "__main__": main()
def main(): n = int(input()) b = list(map(int, input().split())) ans = [] while b: l = len(b) for i in range(l)[::-1]: if b[i] == i + 1: pp = b.pop(i) ans.append(pp) break else: ans = [-1] break print(*ans[::-1], sep="\n") if __name__ == "__main__": main()
p03089
import copy def insertion(n, x): if not x: return True for i in range(n - 1, -1, -1): y = copy.copy(x) if y[i] == i + 1: y.pop(i) ope.insert(0, i + 1) if insertion(n - 1, y): return True else: ope.pop(0) return False n = int(eval(input())) b = list(map(int, input().split())) ope = [] if insertion(n, b): for i in ope: print(i) else: print((-1))
import sys n = int(eval(input())) b = list(map(int, input().split())) ope = [] i = n while i > 0: flag = 0 j = i while j > 0: if b[j - 1] == j: b.pop(j - 1) i -= 1 ope.insert(0, j) flag = 1 break j -= 1 if flag == 0: print((-1)) sys.exit() for i in ope: print(i)
p03089
import itertools n = eval(input()) num_list = [int(i) for i in input().split()] is_possible = False for order_list in list(itertools.permutations(num_list)): output_list = [] if order_list[0] != 1: continue for x in order_list: output_list.insert(x - 1, x) if output_list == num_list: is_possible = True break if is_possible: for out in order_list: print(out) else: print((-1))
import itertools n = eval(input()) num_list = [int(i) for i in input().split()] is_possible = False permutations = list(set(itertools.permutations(num_list))) for order_list in permutations: output_list = [] if order_list[0] != 1: continue for x in order_list: output_list.insert(x - 1, x) if output_list == num_list: is_possible = True break if is_possible: for out in order_list: print(out) else: print((-1))
p03089
n = int(eval(input())) b = list(map(int,input().split())) ans = [] def solve(b,i): if i == 0: return True for j in range(i-1,-1,-1): if b[j] == j+1: p = b[:j] + b[j+1:] if solve(p,i-1): ans.append(j+1) return True return False solve(b,n) if len(ans) == n: for i in range(n): print((ans[i])) else: print((-1))
n = int(eval(input())) b = list(map(int,input().split())) ans = [] def solve(b,i): if i == 0: return True for j in range(i-1,-1,-1): if b[j] > j+1: return False if b[j] == j+1: p = b[:j] + b[j+1:] if solve(p,i-1): ans.append(j+1) return True return False solve(b,n) if len(ans) == n: for i in range(n): print((ans[i])) else: print((-1))
p03089
def remove(data): global result pos = min(len(data), max(data)) for n in range(pos-1, -1, -1): if data[n] == n + 1: result.append(n + 1) if len(data) == 1: #print('OK') return True else: #print('remove {0} '.format(n + 1), end='') #print(data[:n] + data[n+1:]) if remove(data[:n] + data[n+1:]): return True else: #print('try again') if len(result) > 0: result.pop(-1) return False _ = eval(input()) B = list(map(int, input().split())) result = [] if remove(B): result.reverse() for res in result: print(res) else: print((-1))
_ = eval(input()) data = list(map(int, input().split())) result = [] pos = min(len(data), max(data)) - 1 while pos >= 0: if data[pos] == pos + 1: x = data.pop(pos) #print('remove {0} {1}'.format(x, data)) result.append(x) if len(data) == 0: break pos = min(len(data), max(data)) - 1 else: pos -= 1 if len(data) == 0: result.reverse() for res in result: print(res) else: print((-1))
p03089
import sys input = sys.stdin.readline # NOQA sys.setrecursionlimit(10 ** 7) # NOQA def dfs(N, a, i, b, procedure): if i == 0: return procedure for j in range(1, i+1): if a[j-1] == j: l = a[:] del l[j-1] p = procedure[:] p.append(j) ret = dfs(N, l, i-1, b, p) if ret is not None: return ret def main(): N = int(input()) b = list(map(int, input().split())) res = dfs(N, b, N, b, []) if res is None: print(-1) else: print(*res[::-1], sep="\n") if __name__ == "__main__": main()
import sys input = sys.stdin.readline # NOQA sys.setrecursionlimit(10 ** 7) # NOQA def dfs(N, a, i, procedure): if i == 0: return procedure for j in reversed(range(1, i+1)): if a[j-1] == j: l = a[:] del l[j-1] p = procedure[:] p.append(j) ret = dfs(N, l, i-1, p) if ret is not None: return ret break def main(): N = int(input()) b = list(map(int, input().split())) res = dfs(N, b, N, []) if res is None: print(-1) else: print(*res[::-1], sep="\n") if __name__ == "__main__": main()
p03089
n = int(eval(input())) b = list(map(int, input().split())) ans = [] def dfs(x): if x == []: return True ret = False for i, a in enumerate(x): if i + 1 == a: ret = dfs(x[:i] + x[i+1:]) if ret: ans.append(a) break return ret if dfs(b): for a in ans: print(a) else: print((-1))
n = int(eval(input())) b = list(map(int, input().split())) ans = [] for k in range(n): for i in reversed(list(range(n - k))): a = b[i] if i + 1 == a: ans.append(b.pop(i)) break if b != []: print((-1)) else: for a in reversed(ans): print(a)
p03089
import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 N = int(readline()) B = list(map(int, readline().split())) def main(): def dfs(vec): i = 0 zero_only = True for j in range(len(vec)): if vec[j] > 0: zero_only = False i += 1 if vec[j] == i: vec[j] = 0 ret = dfs(vec) vec[j] = i if ret != False: ret.append(i) return ret if zero_only: return [] else: return False ans = dfs(B) if ans == False: print(-1) else: print(*ans, sep='\n') if __name__ == '__main__': main()
import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 N = int(readline()) B = list(map(int, readline().split())) def main(): ans = [] while B: found = False for i in range(len(B), 0, -1): if i == B[i - 1]: ans.append(i) del B[i - 1] found = True break if not found: print(-1) return print(*reversed(ans), sep='\n') if __name__ == '__main__': main()
p03089