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Provide tags and a correct Python 3 solution for this coding contest problem. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2). In other words, find a_1, a_2, …, a_k such th...
instruction
0
8,510
22
17,020
Tags: constructive algorithms, math Correct Solution: ``` """ // Author : snape_here - Susanta Mukherjee """ from __future__ import division, print_function import os,sys from io import BytesIO, IOBase if sys.version_info[0] < 3: from __builtin__ import xrange as range from future_builtins import a...
output
1
8,510
22
17,021
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2). In other words, find a_1, a_2, …, a_k such th...
instruction
0
8,511
22
17,022
Tags: constructive algorithms, math Correct Solution: ``` for _ in range(int(input())): n, k = map(int, input().split()) if n % 2 == 1 and k % 2 == 0: print("NO") continue if n % 2 == k % 2: if k > n: print("NO") continue res = [1] * (k-1) r...
output
1
8,511
22
17,023
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2). In other words, find a_1, a_2, …, a_k such th...
instruction
0
8,512
22
17,024
Tags: constructive algorithms, math Correct Solution: ``` t = int(input()) for tt in range(t): n, k = (int(i) for i in input().split()) if k <= n and (n-k) % 2 == 0: print("YES") ans = [1]*k ans[0] = n-k+1 print(' '.join((str(i) for i in ans))) elif 2*k <= n and (n-2*k)%2 =...
output
1
8,512
22
17,025
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2). In other words, find a_1, a_2, …, a_k such th...
instruction
0
8,513
22
17,026
Tags: constructive algorithms, math Correct Solution: ``` def function(n, k): l_odd=[1]*(k-1) l_odd.append(n-sum(l_odd)) condition1=True for i in l_odd: if i%2==0 or i<=0: condition1=False break if condition1: print('YES') print(*l_odd) condition2=...
output
1
8,513
22
17,027
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2). In other words, find a_1, a_2, …, a_k such th...
instruction
0
8,514
22
17,028
Tags: constructive algorithms, math Correct Solution: ``` q=int(input()) for i in range(q): n,k=[int(i) for i in input().split()] if k==1: print('YES') print(n) else: if n%2==1 and k%2==0 or k>n or k+1==n or ((n%2==0 and k%2==1) and n<k*2) : print('NO') else: ...
output
1
8,514
22
17,029
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2). In other words, find a_1, a_2, …, a_k such th...
instruction
0
8,515
22
17,030
Tags: constructive algorithms, math Correct Solution: ``` t = int(input()) for _ in range(t): n, k = map(int, input().split()) if n < k: print("NO") continue if n % 2 != 0: if k % 2 == 0: print("NO") if k % 2 != 0: print("YES") print(str(n ...
output
1
8,515
22
17,031
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2). In other words, find a_1, a_2, …, a_k such th...
instruction
0
8,516
22
17,032
Tags: constructive algorithms, math Correct Solution: ``` for _ in range(int(input())): n,k=map(int,input().split()) ans1=[2]*(k-1) ans1.append(n-2*k+2) ans2=[1]*(k-1) ans2.append(n-k+1) if ans1[-1]>0 and ans1[-1]%2==0: print("YES") print(*ans1) elif ans2[-1]>0 and ans2[...
output
1
8,516
22
17,033
Provide tags and a correct Python 3 solution for this coding contest problem. You are given two positive integers n (1 ≤ n ≤ 10^9) and k (1 ≤ k ≤ 100). Represent the number n as the sum of k positive integers of the same parity (have the same remainder when divided by 2). In other words, find a_1, a_2, …, a_k such th...
instruction
0
8,517
22
17,034
Tags: constructive algorithms, math Correct Solution: ``` t = int(input()) for i in range(t): n,k = map(int, input().split()) if n==k: print("YES") print(*[1]*k) elif n<k: print("NO") else: if (n-(k-1))%2==1: print("YES") print(*[1]*(k-1),n-(k-1)) ...
output
1
8,517
22
17,035
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
8,805
22
17,610
Tags: math Correct Solution: ``` R=lambda:map(int,input().split()) p, k = R() a = [] t = p//k temp = 1 if p >= k: while k * t >= k: a.insert(0, (-1)**temp * t) flag = True if t%k == 0: flag = False t = abs(t//k) if temp % 2 == 1 and flag : t += 1 temp += 1 ...
output
1
8,805
22
17,611
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
8,806
22
17,612
Tags: math Correct Solution: ``` [p,k]=[int(x) for x in input().split()] d=1 res=[] while p: if d%2==1: kek=k res.append(str(p%kek)) p//=kek else: kek=k lol=kek-(p%kek) while lol>=kek: lol-=kek res.append(str(lol)) p=(p+lol)//kek d+=1 print(len(res)) s=' ' print(s.join(res)) ```
output
1
8,806
22
17,613
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
8,807
22
17,614
Tags: math Correct Solution: ``` def solve(n,p,k): # print(n,p,k) P=p cf=1 a=[0]*n for i in range(n): if i&1: p+=cf*(k-1) a[i]-=k-1 cf*=k # print(p) for i in range(n): a[i]+=p%k p//=k # print(n,a) if p: return fo...
output
1
8,807
22
17,615
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
8,808
22
17,616
Tags: math Correct Solution: ``` p,k = map(int, input().split()) coeff = [1] maxi =k-1 kk = k*k while maxi < p: for i in range(2): coeff.append(0) maxi += kk*(k-1) kk*=k*2 n = len(coeff) powk = [0 for i in range(n)] pos = [0 for i in range(n)] neg = [0 for i in range(n)] powk[0] = 1 for i in ran...
output
1
8,808
22
17,617
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
8,809
22
17,618
Tags: math Correct Solution: ``` a,b=map(int,input().split()) c=-(a//b) out=[a%b] while True: #print(c) out.append(c%b) c=-(c//b) if out[-1]==c==0: break print(len(out)-1) for i in out[:-1]: print(i,end=" ") print() ```
output
1
8,809
22
17,619
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
8,810
22
17,620
Tags: math Correct Solution: ``` n,a = map(int,input().split()) ar = [] j = 1 while n!=0: q = n%a n //= a n = -1*n #j += 1 ar.append(q) print(len(ar)) for i in range(len(ar)): print(ar[i]) ```
output
1
8,810
22
17,621
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
8,811
22
17,622
Tags: math Correct Solution: ``` p, k = map(int, input().split()) if p < k: print(1) print(p) else: ans = [p] cur = p while cur < 0 or cur >= k: cur = - (cur // k) ans.append(cur) arr = [] for i in range(1, len(ans)): arr.append(str(k*ans[i]+ans[i-1])) a...
output
1
8,811
22
17,623
Provide tags and a correct Python 3 solution for this coding contest problem. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But now he regrets doing this... Given two intege...
instruction
0
8,812
22
17,624
Tags: math Correct Solution: ``` p, k = map(int, input().split()) a = '' cnt = 0 while p != 0: cnt += 1 a += str(p % k) + ' ' p -= p % k p //= -k print(cnt) print(a) ```
output
1
8,812
22
17,625
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
8,813
22
17,626
Yes
output
1
8,813
22
17,627
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
8,814
22
17,628
Yes
output
1
8,814
22
17,629
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
8,815
22
17,630
Yes
output
1
8,815
22
17,631
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
8,816
22
17,632
Yes
output
1
8,816
22
17,633
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
8,817
22
17,634
No
output
1
8,817
22
17,635
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
8,818
22
17,636
No
output
1
8,818
22
17,637
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
8,819
22
17,638
No
output
1
8,819
22
17,639
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In order to put away old things and welcome a fresh new year, a thorough cleaning of the house is a must. Little Tommy finds an old polynomial and cleaned it up by taking it modulo another. But...
instruction
0
8,820
22
17,640
No
output
1
8,820
22
17,641
Provide tags and a correct Python 3 solution for this coding contest problem. <image> <image> *The two images are equivalent, feel free to use either one. Input The input contains a single integer a (-100 ≤ a ≤ 100). Output Output the result – an integer number. Example Input 1 Output 1
instruction
0
9,317
22
18,634
Tags: *special, math Correct Solution: ``` import sys import math from bisect import bisect_left import heapq def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def MI(): return map(int, sys.stdin.readline().split()) def SI(): return sys.stdin.readline().s...
output
1
9,317
22
18,635
Provide a correct Python 3 solution for this coding contest problem. You are a teacher at a cram school for elementary school pupils. One day, you showed your students how to calculate division of fraction in a class of mathematics. Your lesson was kind and fluent, and it seemed everything was going so well - except ...
instruction
0
9,864
22
19,728
"Correct Solution: ``` def gcd(a,b): while b:a,b=b,a%b return a def f(n,m): if m==1:return 0 x=1 for i in range(m): x=(x*n)%m if x==1:return i+1 while 1: a,b=map(int,input().split()) if a==0:break c=gcd(a,b) a//=c;b//=c cnt=0;d=gcd(b,10) while d!=1: ...
output
1
9,864
22
19,729
Provide tags and a correct Python 3 solution for this coding contest problem. You have given an array a of length n and an integer x to a brand new robot. What the robot does is the following: it iterates over the elements of the array, let the current element be q. If q is divisible by x, the robot adds x copies of t...
instruction
0
10,159
22
20,318
Tags: brute force, greedy, implementation, math Correct Solution: ``` def main(): t = int(input()) for _ in range(t): n, x = map(int, input().split()) a = list(map(int, input().split())) l = []; mx = 0 for i in range(n): e = a[i] p = 0 while e ...
output
1
10,159
22
20,319
Provide tags and a correct Python 3 solution for this coding contest problem. You have given an array a of length n and an integer x to a brand new robot. What the robot does is the following: it iterates over the elements of the array, let the current element be q. If q is divisible by x, the robot adds x copies of t...
instruction
0
10,160
22
20,320
Tags: brute force, greedy, implementation, math Correct Solution: ``` def strangeList(a,x): i=0 n=len(a) count=0 flag=0 while True: j=0 while j<n: if a[j]%(x**i)==0: count+=a[j] else: return count j+=1 ...
output
1
10,160
22
20,321
Provide tags and a correct Python 3 solution for this coding contest problem. You have given an array a of length n and an integer x to a brand new robot. What the robot does is the following: it iterates over the elements of the array, let the current element be q. If q is divisible by x, the robot adds x copies of t...
instruction
0
10,161
22
20,322
Tags: brute force, greedy, implementation, math Correct Solution: ``` for _ in range(int(input())): n,x=map(int,input().split()) arr=list(map(int,input().split())) res=0 tmp=arr.copy() new_arr=[0]*n for i in range(n): cnt=0 while arr[i]%x==0: cnt+=1 arr[i]...
output
1
10,161
22
20,323
Provide tags and a correct Python 3 solution for this coding contest problem. You have given an array a of length n and an integer x to a brand new robot. What the robot does is the following: it iterates over the elements of the array, let the current element be q. If q is divisible by x, the robot adds x copies of t...
instruction
0
10,162
22
20,324
Tags: brute force, greedy, implementation, math Correct Solution: ``` # Code Submission # # Author : GuptaSir # Date : 05:01:2021 # Time : 20:14:45 # import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fi...
output
1
10,162
22
20,325
Provide tags and a correct Python 3 solution for this coding contest problem. You have given an array a of length n and an integer x to a brand new robot. What the robot does is the following: it iterates over the elements of the array, let the current element be q. If q is divisible by x, the robot adds x copies of t...
instruction
0
10,163
22
20,326
Tags: brute force, greedy, implementation, math Correct Solution: ``` for i in range(int(input())): n, x = map(int, input().split()) a = list(map(int, input().split())) ans, mi, midx = 0, 10**10, n - 1 for i in range(n): y = a[i] cnt = 0 while(True): if(y % x): break else: cnt += 1; y /= x ...
output
1
10,163
22
20,327
Provide tags and a correct Python 3 solution for this coding contest problem. You have given an array a of length n and an integer x to a brand new robot. What the robot does is the following: it iterates over the elements of the array, let the current element be q. If q is divisible by x, the robot adds x copies of t...
instruction
0
10,164
22
20,328
Tags: brute force, greedy, implementation, math Correct Solution: ``` ###pyrival template for fast IO import os import sys from io import BytesIO, IOBase # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() ...
output
1
10,164
22
20,329
Provide tags and a correct Python 3 solution for this coding contest problem. You have given an array a of length n and an integer x to a brand new robot. What the robot does is the following: it iterates over the elements of the array, let the current element be q. If q is divisible by x, the robot adds x copies of t...
instruction
0
10,165
22
20,330
Tags: brute force, greedy, implementation, math Correct Solution: ``` t=int(input()) for _ in range(t): l=list(map(int,input().split())) n,x=l[0],l[1] l=list(map(int,input().split())) arr=[] for i in range(n): k=0 p=l[i] while(p%x==0): k+=1 p=p//x ...
output
1
10,165
22
20,331
Provide tags and a correct Python 3 solution for this coding contest problem. You have given an array a of length n and an integer x to a brand new robot. What the robot does is the following: it iterates over the elements of the array, let the current element be q. If q is divisible by x, the robot adds x copies of t...
instruction
0
10,166
22
20,332
Tags: brute force, greedy, implementation, math Correct Solution: ``` for _ in range(int(input())): n, x = [int(i) for i in input().split(' ')] a = [int(i) for i in input().split(' ')] m = 0 summ = 0 stop = 0 while True: for i in a: if i % x**m == 0: summ += i...
output
1
10,166
22
20,333
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of positive integers a = [a_0, a_1, ..., a_{n - 1}] (n ≥ 2). In one step, the array a is replaced with another array of length n, in which each element is the [greatest c...
instruction
0
10,215
22
20,430
Yes
output
1
10,215
22
20,431
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of positive integers a = [a_0, a_1, ..., a_{n - 1}] (n ≥ 2). In one step, the array a is replaced with another array of length n, in which each element is the [greatest c...
instruction
0
10,216
22
20,432
Yes
output
1
10,216
22
20,433
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of positive integers a = [a_0, a_1, ..., a_{n - 1}] (n ≥ 2). In one step, the array a is replaced with another array of length n, in which each element is the [greatest c...
instruction
0
10,217
22
20,434
Yes
output
1
10,217
22
20,435
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of positive integers a = [a_0, a_1, ..., a_{n - 1}] (n ≥ 2). In one step, the array a is replaced with another array of length n, in which each element is the [greatest c...
instruction
0
10,218
22
20,436
Yes
output
1
10,218
22
20,437
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of positive integers a = [a_0, a_1, ..., a_{n - 1}] (n ≥ 2). In one step, the array a is replaced with another array of length n, in which each element is the [greatest c...
instruction
0
10,219
22
20,438
No
output
1
10,219
22
20,439
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of positive integers a = [a_0, a_1, ..., a_{n - 1}] (n ≥ 2). In one step, the array a is replaced with another array of length n, in which each element is the [greatest c...
instruction
0
10,220
22
20,440
No
output
1
10,220
22
20,441
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of positive integers a = [a_0, a_1, ..., a_{n - 1}] (n ≥ 2). In one step, the array a is replaced with another array of length n, in which each element is the [greatest c...
instruction
0
10,221
22
20,442
No
output
1
10,221
22
20,443
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of positive integers a = [a_0, a_1, ..., a_{n - 1}] (n ≥ 2). In one step, the array a is replaced with another array of length n, in which each element is the [greatest c...
instruction
0
10,222
22
20,444
No
output
1
10,222
22
20,445
Provide tags and a correct Python 3 solution for this coding contest problem. Btoh yuo adn yuor roomatme lhoate wianshg disehs, btu stlil sdmoeboy msut peorrfm tihs cohre dialy. Oen dya yuo decdie to idourtcne smoe syestm. Yuor rmmotaoe sstgegus teh fooniwllg dael. Yuo argee on tow arayrs of ientgres M adn R, nmebur u...
instruction
0
11,225
22
22,450
Tags: *special, implementation Correct Solution: ``` from fractions import gcd from functools import reduce from operator import mul n = int(input()) m = [int(x) for x in input().split()] r = [int(x) for x in input().split()] lcm = m[0] if len(m) > 1: lcm = reduce(mul, m, 1) // reduce(gcd, m, 0) res = 0 for d in...
output
1
11,225
22
22,451
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n integers a1, a2, ..., an. Find the number of pairs of indexes i, j (i < j) that ai + aj is a power of 2 (i. e. some integer x exists so that ai + aj = 2x). Input The first line contains the single positive integer n (1 ≤ n ...
instruction
0
11,243
22
22,486
Tags: brute force, data structures, implementation, math Correct Solution: ``` R = lambda: map(int, input().split()) n = int(input()) res = 0 vsts = {} for num in R(): res += sum(vsts.get((1 << pwr) - num, 0) for pwr in range(32)) vsts[num] = vsts.get(num, 0) + 1 print(res) ```
output
1
11,243
22
22,487
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n integers a1, a2, ..., an. Find the number of pairs of indexes i, j (i < j) that ai + aj is a power of 2 (i. e. some integer x exists so that ai + aj = 2x). Input The first line contains the single positive integer n (1 ≤ n ...
instruction
0
11,244
22
22,488
Tags: brute force, data structures, implementation, math Correct Solution: ``` from collections import Counter n = int(input()) arr = list(map(int, input().split())) cnt = Counter() ans = 0 for v in arr: for i in range(32): ans += cnt[2 ** i - v] cnt[v] += 1 print(ans) ```
output
1
11,244
22
22,489
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n integers a1, a2, ..., an. Find the number of pairs of indexes i, j (i < j) that ai + aj is a power of 2 (i. e. some integer x exists so that ai + aj = 2x). Input The first line contains the single positive integer n (1 ≤ n ...
instruction
0
11,245
22
22,490
Tags: brute force, data structures, implementation, math Correct Solution: ``` n = int(input()) a = [int(x) for x in input().split()] p2 = [2**i for i in range(31)] d = {} for i in a: if i in d: d[i] += 1 else: d[i] = 1 k = 0 for i in d: for p in p2: j = p - i if j > i: ...
output
1
11,245
22
22,491
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n integers a1, a2, ..., an. Find the number of pairs of indexes i, j (i < j) that ai + aj is a power of 2 (i. e. some integer x exists so that ai + aj = 2x). Input The first line contains the single positive integer n (1 ≤ n ...
instruction
0
11,246
22
22,492
Tags: brute force, data structures, implementation, math Correct Solution: ``` n = int(input()) l = list(map(int, input().split())) dic = {} for i in range(n): x = l[i] dic[x] = 0 for i in range(n): x = l[i] dic[x] += 1 s = max(l) m = 0 num = 0 while 2 ** m <= s: m += 1 for i in range(n): a = l[...
output
1
11,246
22
22,493
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n integers a1, a2, ..., an. Find the number of pairs of indexes i, j (i < j) that ai + aj is a power of 2 (i. e. some integer x exists so that ai + aj = 2x). Input The first line contains the single positive integer n (1 ≤ n ...
instruction
0
11,247
22
22,494
Tags: brute force, data structures, implementation, math Correct Solution: ``` t = input p = print r = range n = int(t()) a = list(map(int, t().split())) c = 0 co = {x: 0 for x in range(100000)} po = [2 ** x for x in range(33)] for i in range(n): if a[i] in co: c += co.get(a[i]) for j in range(len(po)):...
output
1
11,247
22
22,495
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n integers a1, a2, ..., an. Find the number of pairs of indexes i, j (i < j) that ai + aj is a power of 2 (i. e. some integer x exists so that ai + aj = 2x). Input The first line contains the single positive integer n (1 ≤ n ...
instruction
0
11,248
22
22,496
Tags: brute force, data structures, implementation, math Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) dic={} for i in a: if i in dic: dic[i]+=1 else: dic[i]=1 div=0 for i in range(n): dic[a[i]]-=1 for j in range(1,32): if 2**j - a[i] in dic: d...
output
1
11,248
22
22,497
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n integers a1, a2, ..., an. Find the number of pairs of indexes i, j (i < j) that ai + aj is a power of 2 (i. e. some integer x exists so that ai + aj = 2x). Input The first line contains the single positive integer n (1 ≤ n ...
instruction
0
11,249
22
22,498
Tags: brute force, data structures, implementation, math Correct Solution: ``` import io, os import sys from atexit import register from random import randint DEBUG = False if not DEBUG: input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline sys.stdout = io.BytesIO() register(lambda: os.write(1, sys.stdout....
output
1
11,249
22
22,499