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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The little girl loves the problems on array queries very much. One day she came across a rather well-known problem: you've got an array of n elements (the elements of the array are indexed star...
instruction
0
34,583
12
69,166
No
output
1
34,583
12
69,167
Provide tags and a correct Python 3 solution for this coding contest problem. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, let's denote some arrangement as a sequence of ...
instruction
0
34,600
12
69,200
Tags: constructive algorithms, implementation, sortings Correct Solution: ``` n = int(input()) A = sorted(list(map(int, input().split()))) print(A[-1], ' '.join(map(str, A[1:-1])), A[0]) ```
output
1
34,600
12
69,201
Provide tags and a correct Python 3 solution for this coding contest problem. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, let's denote some arrangement as a sequence of ...
instruction
0
34,601
12
69,202
Tags: constructive algorithms, implementation, sortings Correct Solution: ``` n = int(input()) lst1 = input().split() lst2 = [] for i in lst1: lst2.append(int(i)) Max = max(lst2) Min = min(lst2) lst2.sort() del lst2[n-1] del lst2[0] print(Max,end=' ') for i in lst2: print(i,end=" ") print(Min) ...
output
1
34,601
12
69,203
Provide tags and a correct Python 3 solution for this coding contest problem. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, let's denote some arrangement as a sequence of ...
instruction
0
34,602
12
69,204
Tags: constructive algorithms, implementation, sortings Correct Solution: ``` n = int(input()) k = map(int,input().split()) mylist = sorted(list(k)) def myswap(mylist) : mylist[-1], mylist[0] = mylist[0], mylist[-1] return mylist mylist = myswap(mylist) for i in range(n) : print(mylist[i],end = " ") ```
output
1
34,602
12
69,205
Provide tags and a correct Python 3 solution for this coding contest problem. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, let's denote some arrangement as a sequence of ...
instruction
0
34,603
12
69,206
Tags: constructive algorithms, implementation, sortings Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) a.sort() a[0],a[n-1]=a[n-1],a[0] for i in a: print(i,end=" ") print() ```
output
1
34,603
12
69,207
Provide tags and a correct Python 3 solution for this coding contest problem. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, let's denote some arrangement as a sequence of ...
instruction
0
34,604
12
69,208
Tags: constructive algorithms, implementation, sortings Correct Solution: ``` def main(): input() a = sorted(input().split(), key=int) print(a[-1], ' '.join(a[1:-1]), a[0]) if __name__ == '__main__': main() ```
output
1
34,604
12
69,209
Provide tags and a correct Python 3 solution for this coding contest problem. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, let's denote some arrangement as a sequence of ...
instruction
0
34,605
12
69,210
Tags: constructive algorithms, implementation, sortings Correct Solution: ``` def solve(n, nums): nums.sort() ret = [] #print(nums) ret.append(nums[-1]) for i in range(1,n-1): ret.append(nums[i]) ret.append(nums[0]) ''' else: for i in range(n): ret.append(nums...
output
1
34,605
12
69,211
Provide tags and a correct Python 3 solution for this coding contest problem. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, let's denote some arrangement as a sequence of ...
instruction
0
34,606
12
69,212
Tags: constructive algorithms, implementation, sortings Correct Solution: ``` n = int(input()) a = [int(x) for x in input().split()] a.sort() a = [a[-1]] + a[1:-1] + [a[0]] print(*a) ```
output
1
34,606
12
69,213
Provide tags and a correct Python 3 solution for this coding contest problem. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, let's denote some arrangement as a sequence of ...
instruction
0
34,607
12
69,214
Tags: constructive algorithms, implementation, sortings Correct Solution: ``` n=input() s=input() a=s.split() for i in range(len(a)): a[i]=int(a[i]) a.sort() a[0],a[len(a)-1]=a[len(a)-1],a[0] for i in range(len(a)-1): a[i]=str(a[i])+' ' a[len(a)-1]=str(a[len(a)-1]) print(''.join(a)) ...
output
1
34,607
12
69,215
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, ...
instruction
0
34,608
12
69,216
Yes
output
1
34,608
12
69,217
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, ...
instruction
0
34,609
12
69,218
Yes
output
1
34,609
12
69,219
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, ...
instruction
0
34,610
12
69,220
Yes
output
1
34,610
12
69,221
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, ...
instruction
0
34,611
12
69,222
Yes
output
1
34,611
12
69,223
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, ...
instruction
0
34,612
12
69,224
No
output
1
34,612
12
69,225
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, ...
instruction
0
34,613
12
69,226
No
output
1
34,613
12
69,227
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, ...
instruction
0
34,614
12
69,228
No
output
1
34,614
12
69,229
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You want to arrange n integers a1, a2, ..., an in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, ...
instruction
0
34,615
12
69,230
No
output
1
34,615
12
69,231
Provide tags and a correct Python 3 solution for this coding contest problem. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of numbers 1, 2, ..., n in some order. Now he shou...
instruction
0
34,648
12
69,296
Tags: dfs and similar, dp, graphs, implementation Correct Solution: ``` # -*- coding:utf-8 -*- """ created by shuangquan.huang at 1/14/20 """ import collections import time import os import sys import bisect import heapq from typing import List def solve(N, K, A, pos): dp = [0 for _ in range(N+1)] for i i...
output
1
34,648
12
69,297
Provide tags and a correct Python 3 solution for this coding contest problem. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of numbers 1, 2, ..., n in some order. Now he shou...
instruction
0
34,649
12
69,298
Tags: dfs and similar, dp, graphs, implementation Correct Solution: ``` n, k = map(int, input().split()) a, b = [[] for row in range(6)], [[0 for col in range(n + 1)] for row in range(6)] for i in range(k): a[i] = list(map(int, input().split())) for j in range(n): b[i][a[i][j]] = j dp = [1] * n for i ...
output
1
34,649
12
69,299
Provide tags and a correct Python 3 solution for this coding contest problem. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of numbers 1, 2, ..., n in some order. Now he shou...
instruction
0
34,650
12
69,300
Tags: dfs and similar, dp, graphs, implementation Correct Solution: ``` # ---------------------------iye ha aam zindegi--------------------------------------------- import math import random import heapq, bisect import sys from collections import deque, defaultdict from fractions import Fraction import sys import threa...
output
1
34,650
12
69,301
Provide tags and a correct Python 3 solution for this coding contest problem. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of numbers 1, 2, ..., n in some order. Now he shou...
instruction
0
34,651
12
69,302
Tags: dfs and similar, dp, graphs, implementation Correct Solution: ``` def main(): n, k = tuple(map(int, input().split())) a = [set(range(n)) for _ in range(n)] for i in range(k): p = set() for j in map(int, input().split()): a[j-1] -= p p.add(j-1) sa = sorted...
output
1
34,651
12
69,303
Provide tags and a correct Python 3 solution for this coding contest problem. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of numbers 1, 2, ..., n in some order. Now he shou...
instruction
0
34,652
12
69,304
Tags: dfs and similar, dp, graphs, implementation Correct Solution: ``` # by the authority of GOD author: manhar singh sachdev # import os,sys from io import BytesIO,IOBase def main(): n,k = map(int,input().split()) arr = [list(map(int,input().split())) for _ in range(k)] edg = [[1]*n for _ in range(n...
output
1
34,652
12
69,305
Provide tags and a correct Python 3 solution for this coding contest problem. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of numbers 1, 2, ..., n in some order. Now he shou...
instruction
0
34,653
12
69,306
Tags: dfs and similar, dp, graphs, implementation Correct Solution: ``` n, k = map(int, input().split()) ra = [[0] * k for _ in range(n)] for p in range(k): for i, v in enumerate(map(int, input().split())): v -= 1 ra[v][p] = i g = [[] for _ in range(n)] for u in range(n): for v in range(n): ...
output
1
34,653
12
69,307
Provide tags and a correct Python 3 solution for this coding contest problem. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of numbers 1, 2, ..., n in some order. Now he shou...
instruction
0
34,654
12
69,308
Tags: dfs and similar, dp, graphs, implementation Correct Solution: ``` # ========== //\\ //|| ||====//|| # || // \\ || || // || # || //====\\ || || // || # || // \\ || || // || # ========== // \\ ======== ||//====|...
output
1
34,654
12
69,309
Provide tags and a correct Python 3 solution for this coding contest problem. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of numbers 1, 2, ..., n in some order. Now he shou...
instruction
0
34,655
12
69,310
Tags: dfs and similar, dp, graphs, implementation Correct Solution: ``` from sys import stdin, stdout, setrecursionlimit input = stdin.readline # import string # characters = string.ascii_lowercase # digits = string.digits # setrecursionlimit(int(1e6)) # dir = [-1,0,1,0,-1] # moves = 'NESW' inf = float('inf') from func...
output
1
34,655
12
69,311
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of ...
instruction
0
34,656
12
69,312
Yes
output
1
34,656
12
69,313
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of ...
instruction
0
34,657
12
69,314
Yes
output
1
34,657
12
69,315
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of ...
instruction
0
34,658
12
69,316
Yes
output
1
34,658
12
69,317
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of ...
instruction
0
34,659
12
69,318
Yes
output
1
34,659
12
69,319
Evaluate the correctness of the submitted Python 2 solution to the coding contest problem. Provide a "Yes" or "No" response. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of ...
instruction
0
34,660
12
69,320
Yes
output
1
34,660
12
69,321
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of ...
instruction
0
34,661
12
69,322
No
output
1
34,661
12
69,323
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of ...
instruction
0
34,662
12
69,324
No
output
1
34,662
12
69,325
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of ...
instruction
0
34,663
12
69,326
No
output
1
34,663
12
69,327
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found k permutations. Each of them consists of ...
instruction
0
34,664
12
69,328
No
output
1
34,664
12
69,329
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a sequence [a1, a2, ... , an]. Define its prefix product sequence <image>. Now given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1]. Input The only input line...
instruction
0
34,665
12
69,330
Tags: constructive algorithms, math, number theory Correct Solution: ``` n = int(input()) if n == 4: print ("YES\n1 3 2 4") elif [i for i in range(2,n) if n%i==0]: print("NO") else: print("YES\n1 %s"%(" ".join(str((pow(x+1,n-2,n)*(x+2))%n or n) for x in range(n-1)))) ```
output
1
34,665
12
69,331
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a sequence [a1, a2, ... , an]. Define its prefix product sequence <image>. Now given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1]. Input The only input line...
instruction
0
34,666
12
69,332
Tags: constructive algorithms, math, number theory Correct Solution: ``` import math import sys input = sys.stdin.readline n = int(input()) def isPrime(n): for i in range(2, n): if n % i == 0: return False return True if isPrime(n): print('YES') print('\n'.join(list(map(str, [1] + [i...
output
1
34,666
12
69,333
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a sequence [a1, a2, ... , an]. Define its prefix product sequence <image>. Now given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1]. Input The only input line...
instruction
0
34,667
12
69,334
Tags: constructive algorithms, math, number theory Correct Solution: ``` n = int(input()) if n == 4: print ("YES\n1 3 2 4") elif [i for i in range(2,n) if n%i==0]: print("NO") else: print("YES\n1 %s"%(" ".join(str((pow(x+1,n-2,n)*(x+2))%n or n) for x in range(n-1)))) # Made By Mostafa_Khaled ```
output
1
34,667
12
69,335
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a sequence [a1, a2, ... , an]. Define its prefix product sequence <image>. Now given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1]. Input The only input line...
instruction
0
34,668
12
69,336
Tags: constructive algorithms, math, number theory Correct Solution: ``` n = int(input()) if n == 1: print('YES\n1') exit(0) if n == 4: print('YES\n1 3 2 4') exit(0) for p in range(2, int(n ** 0.5) + 1): if n % p == 0: print('NO') exit(0) print('YES') print(1) for j in range(2, n): ...
output
1
34,668
12
69,337
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a sequence [a1, a2, ... , an]. Define its prefix product sequence <image>. Now given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1]. Input The only input line...
instruction
0
34,669
12
69,338
Tags: constructive algorithms, math, number theory Correct Solution: ``` #In The Nam Of GOd n=int(input()); if(n==1): print("YES",1); exit(); if(n==2): print("YES",1,2,sep="\n"); exit(); if(n==4): print("YES",1,3,2,4,sep="\n"); exit(); for i in range(2,n): if n%i==0: print("NO"); ...
output
1
34,669
12
69,339
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a sequence [a1, a2, ... , an]. Define its prefix product sequence <image>. Now given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1]. Input The only input line...
instruction
0
34,670
12
69,340
Tags: constructive algorithms, math, number theory Correct Solution: ``` import math import sys input = sys.stdin.readline n = int(input()) if math.factorial(n - 1) % n == n - 1: print('YES') print('\n'.join(list(map(str, [1] + [i * pow(i - 1, n - 2, n) % n for i in range(2, n)] + [n]))[:n])) elif n == 4: p...
output
1
34,670
12
69,341
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a sequence [a1, a2, ... , an]. Define its prefix product sequence <image>. Now given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1]. Input The only input line...
instruction
0
34,671
12
69,342
Tags: constructive algorithms, math, number theory Correct Solution: ``` n=int(input()); if(n==1): print("YES",1); elif(n==2): print("YES",1,2,sep="\n"); elif(n==4): print("YES",1,3,2,4,sep="\n"); else: for i in range(2,n): if n%i==0: print("NO"); exit(); ...
output
1
34,671
12
69,343
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a sequence [a1, a2, ... , an]. Define its prefix product sequence <image>. Now given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of [0, 1, ..., n - 1]. Input The only input line...
instruction
0
34,672
12
69,344
Tags: constructive algorithms, math, number theory Correct Solution: ``` def comp(x): for i in range(2, x): if x % i == 0: return True return False N = int(input()) if N == 4: print('YES', '1', '3', '2', '4', sep = '\n') elif comp(N): print('NO') else: print('YES', '1', sep = '...
output
1
34,672
12
69,345
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider a sequence [a1, a2, ... , an]. Define its prefix product sequence <image>. Now given n, find a permutation of [1, 2, ..., n], such that its prefix product sequence is a permutation of ...
instruction
0
34,677
12
69,354
No
output
1
34,677
12
69,355
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Pussycat Sonya has an array consisting of n positive integers. There are 2n possible subsequences of the array. For each subsequence she counts the minimum number of operations to make all its e...
instruction
0
34,764
12
69,528
No
output
1
34,764
12
69,529
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Pussycat Sonya has an array consisting of n positive integers. There are 2n possible subsequences of the array. For each subsequence she counts the minimum number of operations to make all its e...
instruction
0
34,765
12
69,530
No
output
1
34,765
12
69,531
Provide tags and a correct Python 3 solution for this coding contest problem. Alice is a beginner composer and now she is ready to create another masterpiece. And not even the single one but two at the same time! Alice has a sheet with n notes written on it. She wants to take two such non-empty non-intersecting subs...
instruction
0
34,830
12
69,660
Tags: dp, flows Correct Solution: ``` import sys n = int(input()) + 1 a = [0] + list(map(int, input().split())) mod7 = [x % 7 for x in a] dp = [[0]*n for _ in range(n)] maxnum = [0]*(10**5+10) ans = 0 for i in range(n): maxmod = [0]*7 for j in range(n): maxnum[a[j]] = 0 for j in range(i): ...
output
1
34,830
12
69,661
Provide tags and a correct Python 3 solution for this coding contest problem. Alice is a beginner composer and now she is ready to create another masterpiece. And not even the single one but two at the same time! Alice has a sheet with n notes written on it. She wants to take two such non-empty non-intersecting subs...
instruction
0
34,831
12
69,662
Tags: dp, flows Correct Solution: ``` import sys def solve(): n = int(sys.stdin.readline()) a = [0] + [int(i) for i in sys.stdin.readline().split()] dp = [[0]*(n + 1) for i in range(n + 1)] ans = 0 maxnum = [0] * (10**5 + 2) maxmod = [0] * 7 for y in range(n + 1): maxmod = [0] * ...
output
1
34,831
12
69,663
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice is a beginner composer and now she is ready to create another masterpiece. And not even the single one but two at the same time! Alice has a sheet with n notes written on it. She wants t...
instruction
0
34,832
12
69,664
No
output
1
34,832
12
69,665
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice is a beginner composer and now she is ready to create another masterpiece. And not even the single one but two at the same time! Alice has a sheet with n notes written on it. She wants t...
instruction
0
34,833
12
69,666
No
output
1
34,833
12
69,667
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice is a beginner composer and now she is ready to create another masterpiece. And not even the single one but two at the same time! Alice has a sheet with n notes written on it. She wants t...
instruction
0
34,834
12
69,668
No
output
1
34,834
12
69,669