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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A pair of positive integers (a,b) is called special if ⌊ a/b βŒ‹ = a mod b. Here, ⌊ a/b βŒ‹ is the result of the integer division between a and b, while a mod b is its remainder. You are given two ...
instruction
0
46,510
22
93,020
No
output
1
46,510
22
93,021
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A pair of positive integers (a,b) is called special if ⌊ a/b βŒ‹ = a mod b. Here, ⌊ a/b βŒ‹ is the result of the integer division between a and b, while a mod b is its remainder. You are given two ...
instruction
0
46,511
22
93,022
No
output
1
46,511
22
93,023
Provide tags and a correct Python 3 solution for this coding contest problem. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants...
instruction
0
46,721
22
93,442
Tags: constructive algorithms, math, number theory Correct Solution: ``` n, m = map(int, input().split(" ")) counter = 0 for i in range(1, m+1): no = i % 5 counter += (n+(i % 5))//5 print(counter) ```
output
1
46,721
22
93,443
Provide tags and a correct Python 3 solution for this coding contest problem. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants...
instruction
0
46,722
22
93,444
Tags: constructive algorithms, math, number theory Correct Solution: ``` x,y = map(int,input().split()) arx = [] ary = [] xx = x//5 arx = [xx,xx,xx,xx,xx] for i in range(x%5): arx[i] += 1 yy = y//5 ary = [yy,yy,yy,yy,yy] for i in range(y%5): ary[i] += 1 sum = 0 sum += arx[0]*ary[3] sum += arx[1]*ary[2] sum += a...
output
1
46,722
22
93,445
Provide tags and a correct Python 3 solution for this coding contest problem. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants...
instruction
0
46,723
22
93,446
Tags: constructive algorithms, math, number theory Correct Solution: ``` n, m = map(int, input().split()) cnt = 0 N = 5 * int(1e5) for k in range(N): c = k * 5 Max = min(n, c - 1) Min = max(1, c - m) if Max >= c - m and Min <= c - 1: cnt += Max - Min + 1 print(cnt) ```
output
1
46,723
22
93,447
Provide tags and a correct Python 3 solution for this coding contest problem. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants...
instruction
0
46,724
22
93,448
Tags: constructive algorithms, math, number theory Correct Solution: ``` n,m = list(map(int,input().split())) cm = {} cn = {} x = n//5 y = m//5 for i in range(5): cm[i]=y cn[i]=x x = n%5 y = m%5 for i in range(1,x+1): cn[i]+=1 for i in range(1,y+1): cm[i]+=1 res = cm[0]*cn[0] for i in range(1,5): re...
output
1
46,724
22
93,449
Provide tags and a correct Python 3 solution for this coding contest problem. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants...
instruction
0
46,725
22
93,450
Tags: constructive algorithms, math, number theory Correct Solution: ``` n,m = list(map(int,input().split())) S=0 for i in range(1,n+1): S+=((m-(5*(i//5)+5)+i)//5)+1 print(S) ```
output
1
46,725
22
93,451
Provide tags and a correct Python 3 solution for this coding contest problem. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants...
instruction
0
46,726
22
93,452
Tags: constructive algorithms, math, number theory Correct Solution: ``` n,m = [int(x) for x in input().split()] freq1 = [0 for x in range(5)] freq2 = [0 for x in range(5)] for i in range(1,n+1): freq1[i%5]+=1 for i in range(1,m+1): freq2[i%5]+=1 c=0 for i in range(5): c+= freq1[i%5]*freq2[abs(5-i)%5] print...
output
1
46,726
22
93,453
Provide tags and a correct Python 3 solution for this coding contest problem. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants...
instruction
0
46,727
22
93,454
Tags: constructive algorithms, math, number theory Correct Solution: ``` n, m = map(int, input().split()) nt = n // 5 mt = m // 5 nf = [nt] * 5 mf = [mt] * 5 for x in range((n % 5) + 1): nf[x] += 1 for x in range((m % 5) + 1): mf[x] += 1 nf[0] -= 1 mf[0] -= 1 ans = 0 for x in range(5): y = (5 - x) % 5 ...
output
1
46,727
22
93,455
Provide tags and a correct Python 3 solution for this coding contest problem. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants...
instruction
0
46,728
22
93,456
Tags: constructive algorithms, math, number theory Correct Solution: ``` n, m = map(int, input().split(" ")) res = 0 print(sum((((i+1)%5+m)//5)*(n//5+1) for i in range(5) if n%5>=(i+1))+ sum((((i+1)%5+m)//5)*(n//5) for i in range(5) if n%5<(i+1))) ```
output
1
46,728
22
93,457
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second cont...
instruction
0
46,729
22
93,458
Yes
output
1
46,729
22
93,459
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second cont...
instruction
0
46,730
22
93,460
Yes
output
1
46,730
22
93,461
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second cont...
instruction
0
46,731
22
93,462
Yes
output
1
46,731
22
93,463
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second cont...
instruction
0
46,732
22
93,464
Yes
output
1
46,732
22
93,465
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second cont...
instruction
0
46,733
22
93,466
No
output
1
46,733
22
93,467
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second cont...
instruction
0
46,734
22
93,468
No
output
1
46,734
22
93,469
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second cont...
instruction
0
46,735
22
93,470
No
output
1
46,735
22
93,471
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β€” the first column containing integers from 1 to n and the second cont...
instruction
0
46,736
22
93,472
No
output
1
46,736
22
93,473
Provide tags and a correct Python 3 solution for this coding contest problem. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The first line contains a single integer t (1≀ t≀ 10^4...
instruction
0
47,269
22
94,538
Tags: math, number theory Correct Solution: ``` import math n = int(input()) b = [] for i in range(n): b.append(int(input())) def lcm(a, b): return abs(a*b) // math.gcd(a, b) def sana(x): i = 2 d = 1 b = 0 y = x if x==1: return 2 elif x==2: return 5 else: w...
output
1
47,269
22
94,539
Provide tags and a correct Python 3 solution for this coding contest problem. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The first line contains a single integer t (1≀ t≀ 10^4...
instruction
0
47,270
22
94,540
Tags: math, number theory Correct Solution: ``` #!/usr/bin/env pypy from __future__ import division, print_function import os import sys from io import BytesIO, IOBase from math import gcd if sys.version_info[0] < 3: from __builtin__ import xrange as range from future_builtins import ascii, filter, hex, map,...
output
1
47,270
22
94,541
Provide tags and a correct Python 3 solution for this coding contest problem. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The first line contains a single integer t (1≀ t≀ 10^4...
instruction
0
47,271
22
94,542
Tags: math, number theory Correct Solution: ``` import sys import os.path from collections import * import math import bisect import heapq as hq from fractions import Fraction if (os.path.exists('input.txt')): sys.stdin = open("input.txt", "r") sys.stdout = open("output.txt", "w") ###########################...
output
1
47,271
22
94,543
Provide tags and a correct Python 3 solution for this coding contest problem. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The first line contains a single integer t (1≀ t≀ 10^4...
instruction
0
47,272
22
94,544
Tags: math, number theory Correct Solution: ``` # import math # # for _ in range(int(input())): # n, a, b = [int(i) for i in input().split()] # m = b % a # while True: # if n <= 0: # print('NO') # break # if n == 1: # print('YES') # break # ...
output
1
47,272
22
94,545
Provide tags and a correct Python 3 solution for this coding contest problem. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The first line contains a single integer t (1≀ t≀ 10^4...
instruction
0
47,273
22
94,546
Tags: math, number theory Correct Solution: ``` import sys from math import gcd def lcm(a,b): return a*b//gcd(a,b) input=sys.stdin.readline t=int(input()) mod=10**9+7 f=[0]*45 f[1]=1 for i in range(2,45): f[i]=lcm(f[i-1],i) for _ in range(t): n=int(input()) ans=0 for i in range(2,45): r=n//f[i-1]-n//f[i] ...
output
1
47,273
22
94,547
Provide tags and a correct Python 3 solution for this coding contest problem. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The first line contains a single integer t (1≀ t≀ 10^4...
instruction
0
47,274
22
94,548
Tags: math, number theory Correct Solution: ``` from math import * #from bisect import * #from collections import * #from random import * #from decimal import *""" #from heapq import * #from random import * import sys input=sys.stdin.readline sys.setrecursionlimit(3*(10**5)) def inp(): return int(input()) def st():...
output
1
47,274
22
94,549
Provide tags and a correct Python 3 solution for this coding contest problem. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The first line contains a single integer t (1≀ t≀ 10^4...
instruction
0
47,275
22
94,550
Tags: math, number theory Correct Solution: ``` import math from sys import stdin, stdout MOD = 10**9 + 7 dp = [1, 1, 2, 6, 12, 60, 60, 420, 840, 2520, 2520, 27720, 27720, 360360, 360360, 360360, 720720, 12252240, 12252240, 232792560, 232792560, 232792560, 232792560, 5354228880, 5354228880, 26771144400, 26771144400, 8...
output
1
47,275
22
94,551
Provide tags and a correct Python 3 solution for this coding contest problem. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The first line contains a single integer t (1≀ t≀ 10^4...
instruction
0
47,276
22
94,552
Tags: math, number theory Correct Solution: ``` import math for _ in range(int(input())): n = int(input()) s = 1 i = 2 ans = n while s <= n: ans += n//s s = i*s//math.gcd(i,s) i += 1 #print(s,i) print(ans%(10**9+7)) ```
output
1
47,276
22
94,553
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The fir...
instruction
0
47,277
22
94,554
Yes
output
1
47,277
22
94,555
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The fir...
instruction
0
47,278
22
94,556
Yes
output
1
47,278
22
94,557
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The fir...
instruction
0
47,279
22
94,558
Yes
output
1
47,279
22
94,559
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The fir...
instruction
0
47,280
22
94,560
Yes
output
1
47,280
22
94,561
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The fir...
instruction
0
47,281
22
94,562
No
output
1
47,281
22
94,563
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The fir...
instruction
0
47,282
22
94,564
No
output
1
47,282
22
94,565
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The fir...
instruction
0
47,283
22
94,566
No
output
1
47,283
22
94,567
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let f(i) denote the minimum positive integer x such that x is not a divisor of i. Compute βˆ‘_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7. Input The fir...
instruction
0
47,284
22
94,568
No
output
1
47,284
22
94,569
Provide tags and a correct Python 3 solution for this coding contest problem. Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are g...
instruction
0
47,317
22
94,634
Tags: brute force Correct Solution: ``` from math import sqrt n,m=list(map(int,input().split())) c=0 for i in range(int(sqrt(n))+1): if (n-i**2)**2 + i == m: c+=1 print(c) ```
output
1
47,317
22
94,635
Provide tags and a correct Python 3 solution for this coding contest problem. Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are g...
instruction
0
47,318
22
94,636
Tags: brute force Correct Solution: ``` import math l = list(map(int,input().split())) n,m = l[0],l[1] A = min(m,int(math.sqrt(n))) c = 0 for a in range(A+1): if a+(n-a**2)**2 == m: c = c+1 print(c) ```
output
1
47,318
22
94,637
Provide tags and a correct Python 3 solution for this coding contest problem. Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are g...
instruction
0
47,319
22
94,638
Tags: brute force Correct Solution: ``` c = 0 n, m = map(int,input().split()) for a in range(32): for b in range(32): if a*a+b == n and a+b*b == m: c += 1 print(c) ```
output
1
47,319
22
94,639
Provide tags and a correct Python 3 solution for this coding contest problem. Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are g...
instruction
0
47,320
22
94,640
Tags: brute force Correct Solution: ``` import math n, m = map(int, input().split()) ris = 0 for b in range(0, min([int(math.sqrt(m))+1, n+1])): if b**4-2*m*b**2+b+m**2-n == 0: tmp = n-b if tmp >= 0: tmp = math.sqrt(tmp) if tmp == int(tmp): ris +=1 print(ris)...
output
1
47,320
22
94,641
Provide tags and a correct Python 3 solution for this coding contest problem. Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are g...
instruction
0
47,321
22
94,642
Tags: brute force Correct Solution: ``` import math km = input() count = 0 z = km.split() n = int(z[0]) m = int(z[1]) a = int(math.sqrt(n)) b = 0 if(a*a != n): b = n - (a*a) if(a + (b*b) == m): count += 1 bb = int(math.sqrt(m)) aa = 0 if(bb*bb != m): aa = m - (bb*bb) if((aa*aa) + bb == n): if(aa == a an...
output
1
47,321
22
94,643
Provide tags and a correct Python 3 solution for this coding contest problem. Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are g...
instruction
0
47,322
22
94,644
Tags: brute force Correct Solution: ``` n,m = map(int,input().split()) v,z =[],0 for i in range(m+1): if i*i>m:break a = m-i*i v.append([a,i]) for i in v: if i[0]**2 + i[1] ==n:z+=1 print(z) ```
output
1
47,322
22
94,645
Provide tags and a correct Python 3 solution for this coding contest problem. Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are g...
instruction
0
47,323
22
94,646
Tags: brute force Correct Solution: ``` n, m = map(int, input().split()) count = 0 k=int((n+m)**(1/2)) + 2 for a in range(0, k): for b in range(0, k): if a**2+b==n and b**2+a==m: count+=1 print(count) ```
output
1
47,323
22
94,647
Provide tags and a correct Python 3 solution for this coding contest problem. Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are g...
instruction
0
47,324
22
94,648
Tags: brute force Correct Solution: ``` n,m = map(int,input().split()) cnt = 0 for i in range(1001): for j in range(1001): if i**2+j==n and i+j**2==m: cnt+=1 print(cnt) ```
output
1
47,324
22
94,649
Provide tags and a correct Python 3 solution for this coding contest problem. A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 ≀ l ≀ r ≀ n) such that <image>. In other words each wool sequence contains a subsequence of consecu...
instruction
0
47,333
22
94,666
Tags: constructive algorithms, math Correct Solution: ``` MOD = 10**9 + 9 n,m = map(int, input().split()) p = pow(2,m,MOD) ans = 1 for i in range(1,n+1): ans = (ans * (p-i)) % MOD print(ans) ```
output
1
47,333
22
94,667
Provide tags and a correct Python 3 solution for this coding contest problem. A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 ≀ l ≀ r ≀ n) such that <image>. In other words each wool sequence contains a subsequence of consecu...
instruction
0
47,334
22
94,668
Tags: constructive algorithms, math Correct Solution: ``` a,b=map(int,input().split()) ans=1;mod=1000000009;gh=pow(2,b,mod) for i in range(1,1+a):ans=(ans*(gh-i))%mod print(ans) ```
output
1
47,334
22
94,669
Provide tags and a correct Python 3 solution for this coding contest problem. A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 ≀ l ≀ r ≀ n) such that <image>. In other words each wool sequence contains a subsequence of consecu...
instruction
0
47,335
22
94,670
Tags: constructive algorithms, math Correct Solution: ``` n,m=map(int,input().split());MOD=1000000009;o=1;m=pow(2,m,MOD)-1 for i in range(n):o=o*(m-i)%MOD print(o) # Made By Mostafa_Khaled ```
output
1
47,335
22
94,671
Provide tags and a correct Python 3 solution for this coding contest problem. A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 ≀ l ≀ r ≀ n) such that <image>. In other words each wool sequence contains a subsequence of consecu...
instruction
0
47,336
22
94,672
Tags: constructive algorithms, math Correct Solution: ``` n, m = map(int, input().split()) MOD = 10 ** 9 + 9 ans = pow(2, m, MOD) - 1 step = pow(2, m, MOD) - 2 for i in range(n - 1): ans = (ans * step) % MOD step -= 1 while ans < 0: ans += MOD while ans >= MOD: ans -= MOD print(ans) ```
output
1
47,336
22
94,673
Provide tags and a correct Python 3 solution for this coding contest problem. A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 ≀ l ≀ r ≀ n) such that <image>. In other words each wool sequence contains a subsequence of consecu...
instruction
0
47,338
22
94,676
Tags: constructive algorithms, math Correct Solution: ``` MOD = int(1e9+9) def fast_power(b, e): res = 1 while e: if e % 2 == 1: res = res * b % MOD b = b * b % MOD e >>= 1 return res n, m = map(int, input().split()) a = fast_power(2, m) - 1 a = (a + MOD) % MOD b = a -...
output
1
47,338
22
94,677
Provide tags and a correct Python 3 solution for this coding contest problem. A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 ≀ l ≀ r ≀ n) such that <image>. In other words each wool sequence contains a subsequence of consecu...
instruction
0
47,339
22
94,678
Tags: constructive algorithms, math Correct Solution: ``` n, m = map(int, input().split()) mod = 1000000009 upper = pow(2, m, mod) s = 1 for i in range(0, n): s = (s * (upper - i - 1)) % mod print(s) ```
output
1
47,339
22
94,679
Provide tags and a correct Python 3 solution for this coding contest problem. A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 ≀ l ≀ r ≀ n) such that <image>. In other words each wool sequence contains a subsequence of consecu...
instruction
0
47,340
22
94,680
Tags: constructive algorithms, math Correct Solution: ``` n, m = map(int, input().split()) MOD = 10 ** 9 + 9 out = 1 curr = pow(2, m, MOD) - 1 for i in range(n): out *= curr curr -= 1 out %= MOD print(out) ```
output
1
47,340
22
94,681
Provide tags and a correct Python 3 solution for this coding contest problem. Little Petya was given this problem for homework: You are given function <image> (here <image> represents the operation of taking the remainder). His task is to count the number of integers x in range [a;b] with property f(x) = x. It is a ...
instruction
0
47,534
22
95,068
Tags: implementation, number theory Correct Solution: ``` p1, p2, p3, p4, a, b = map(int, input().split()) m = min(p1, p2, p3, p4) if m > b: print(b - a + 1) else: print(m - a if m - a > 0 else 0) ```
output
1
47,534
22
95,069