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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Hearing that energy drinks increase rating in those sites, Takahashi decides to buy up M cans of energy drinks. There are N stores that sell energy drinks. In the i-th store, he can buy at most B_i cans of energy drinks for A_i yen (the currency of Japan) each. What is the minimum amount of money with which he can buy M cans of energy drinks? It is guaranteed that, in the given inputs, a sufficient amount of money can always buy M cans of energy drinks. Constraints * All values in input are integers. * 1 \leq N, M \leq 10^5 * 1 \leq A_i \leq 10^9 * 1 \leq B_i \leq 10^5 * B_1 + ... + B_N \geq M Input Input is given from Standard Input in the following format: N M A_1 B_1 A_2 B_2 \vdots A_N B_N Output Print the minimum amount of money with which Takahashi can buy M cans of energy drinks. Examples Input 2 5 4 9 2 4 Output 12 Input 4 30 6 18 2 5 3 10 7 9 Output 130 Input 1 100000 1000000000 100000 Output 100000000000000 Submitted Solution: ``` N, M = map(int, input().split()) shop_dic = {} for _ in range(N): a, b = map(int, input().split()) shop_dic[a] = b total = 0 for a in sorted(shop_dic.keys()): b = shop_dic[a] if M <= b: total += a * M break else: total += a * min(b, M) M -= min(b, M) print(total) ```
instruction
0
11,453
10
22,906
No
output
1
11,453
10
22,907
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Hearing that energy drinks increase rating in those sites, Takahashi decides to buy up M cans of energy drinks. There are N stores that sell energy drinks. In the i-th store, he can buy at most B_i cans of energy drinks for A_i yen (the currency of Japan) each. What is the minimum amount of money with which he can buy M cans of energy drinks? It is guaranteed that, in the given inputs, a sufficient amount of money can always buy M cans of energy drinks. Constraints * All values in input are integers. * 1 \leq N, M \leq 10^5 * 1 \leq A_i \leq 10^9 * 1 \leq B_i \leq 10^5 * B_1 + ... + B_N \geq M Input Input is given from Standard Input in the following format: N M A_1 B_1 A_2 B_2 \vdots A_N B_N Output Print the minimum amount of money with which Takahashi can buy M cans of energy drinks. Examples Input 2 5 4 9 2 4 Output 12 Input 4 30 6 18 2 5 3 10 7 9 Output 130 Input 1 100000 1000000000 100000 Output 100000000000000 Submitted Solution: ``` import numpy as np N, M = map(int, input().split()) num_dict = dict() A_list = [] for n in range(N): A, B = map(int, input().split()) num_dict[A] = B A_list.append(A) A_list.sort() b_accum = 0 all_pay = 0 for a in A_list: if M <= b_accum: break if b_accum + num_dict[a] <= M: all_pay += num_dict[a] * a b_accum += num_dict[a] else: all_pay += (M - b_accum) * a b_accum += num_dict[a] print(all_pay) ```
instruction
0
11,454
10
22,908
No
output
1
11,454
10
22,909
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Hearing that energy drinks increase rating in those sites, Takahashi decides to buy up M cans of energy drinks. There are N stores that sell energy drinks. In the i-th store, he can buy at most B_i cans of energy drinks for A_i yen (the currency of Japan) each. What is the minimum amount of money with which he can buy M cans of energy drinks? It is guaranteed that, in the given inputs, a sufficient amount of money can always buy M cans of energy drinks. Constraints * All values in input are integers. * 1 \leq N, M \leq 10^5 * 1 \leq A_i \leq 10^9 * 1 \leq B_i \leq 10^5 * B_1 + ... + B_N \geq M Input Input is given from Standard Input in the following format: N M A_1 B_1 A_2 B_2 \vdots A_N B_N Output Print the minimum amount of money with which Takahashi can buy M cans of energy drinks. Examples Input 2 5 4 9 2 4 Output 12 Input 4 30 6 18 2 5 3 10 7 9 Output 130 Input 1 100000 1000000000 100000 Output 100000000000000 Submitted Solution: ``` import sys input = sys.stdin.readline from collections import deque def main(): N, M = map(int, input().split()) AB = [0] * N for i in range(N): AB[i] = list(map(int, input().split())) AB = sorted(AB) have = 0 price = 0 while M != have: AB[0][1] -= 1 price += AB[0][0] have += 1 if AB[0][1] == 0: del AB[0] print(price) main() ```
instruction
0
11,455
10
22,910
No
output
1
11,455
10
22,911
Provide a correct Python 3 solution for this coding contest problem. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None
instruction
0
11,565
10
23,130
"Correct Solution: ``` coin=[500,100,50,10,5,1] while True: a = 1000-int(input()) if a == 1000: break ans = 0 for i in coin: ans += a // i a %= i print(ans) ```
output
1
11,565
10
23,131
Provide a correct Python 3 solution for this coding contest problem. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None
instruction
0
11,566
10
23,132
"Correct Solution: ``` while True: money=int(input()) if money==0: break a=1000-money A=a//500 b=a-500*A B=b//100 c=b-100*B C=c//50 d=c-50*C D=d//10 e=d-D*10 E=e//5 F=e-E*5 print(A+B+C+D+E+F) ```
output
1
11,566
10
23,133
Provide a correct Python 3 solution for this coding contest problem. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None
instruction
0
11,567
10
23,134
"Correct Solution: ``` while True: money=int(input()) if money==0: break n=1000-money a=n//500 b=(n%500)//100 c=(n%500%100)//50 d=(n%500%100%50)//10 e=(n%500%100%50%10)//5 f=(n%500%100%50%10%5)//1 print(a+b+c+d+e+f) ```
output
1
11,567
10
23,135
Provide a correct Python 3 solution for this coding contest problem. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None
instruction
0
11,568
10
23,136
"Correct Solution: ``` while True: x=int(input()) if x==0: break y=1000-x a=y//500 b=(y-500*a)//100 c=(y-500*a-100*b)//50 d=(y-500*a-100*b-50*c)//10 e=(y-500*a-100*b-50*c-10*d)//5 f=(y-500*a-100*b-50*c-10*d-5*e) print(a+b+c+d+e+f) ```
output
1
11,568
10
23,137
Provide a correct Python 3 solution for this coding contest problem. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None
instruction
0
11,569
10
23,138
"Correct Solution: ``` while True: coin = int(input()) if coin == 0: break ans = 0 oturi = 1000 - coin for i in [500,100,50,10,5,1]: ans += oturi // i oturi = oturi % i print(ans) ```
output
1
11,569
10
23,139
Provide a correct Python 3 solution for this coding contest problem. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None
instruction
0
11,570
10
23,140
"Correct Solution: ``` i = 0 while True: n = int(input()) x = 1000 - n if n == 0: break a = x//500 x = x%500 b = x//100 x = x%100 c = x//50 x = x%50 d = x//10 x = x%10 e = x//5 f = x%5 print(a+b+c+d+e+f) i += 1 ```
output
1
11,570
10
23,141
Provide a correct Python 3 solution for this coding contest problem. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None
instruction
0
11,571
10
23,142
"Correct Solution: ``` try: while True: n=int(input()) m=1000-n i=0 if m==1000: break else: i+=m//500 m=m%500 i+=m//100 m=m%100 i+=m//50 m=m%50 i+=m//10 m=m%10 i+=m//5 m=m%5 i+=m print(i) except EOFError: pass ```
output
1
11,571
10
23,143
Provide a correct Python 3 solution for this coding contest problem. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None
instruction
0
11,572
10
23,144
"Correct Solution: ``` while True: a = int(input()) if a == 0:break b=(1000-a)//500 c=(1000-a-500*b)//100 d=(1000-a-500*b-100*c)//50 e=(1000-a-500*b-100*c-50*d)//10 f=(1000-a-500*b-100*c-50*d-10*e)//5 g=1000-a-500*b-100*c-50*d-10*e-5*f print(b+c+d+e+f+g) ```
output
1
11,572
10
23,145
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None Submitted Solution: ``` for i in range(5): x=int(input()) if x==0:break else: s=1000-x a=s//500 a1=s-a*500 b=a1//100 b1=a1-b*100 c=b1//50 c1=b1-c*50 d=c1//10 d1=c1-d*10 e=d1//5 f=d1-e*5 sum=a+b+c+d+e+f print(sum) ```
instruction
0
11,573
10
23,146
Yes
output
1
11,573
10
23,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None Submitted Solution: ``` while True: price = int(input()) change = 1000 - price n = 0 if price == 0: break if change >= 500: change -= 500 n += 1 while change >= 100: change -= 100 n += 1 if change >= 50: change -= 50 n += 1 while change >= 10: change -= 10 n += 1 if change >= 5: change -= 5 n += 1 while change >= 1: change -= 1 n += 1 print(n) ```
instruction
0
11,574
10
23,148
Yes
output
1
11,574
10
23,149
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None Submitted Solution: ``` a = [500,100,50,10,5,1] while True: x = int(input()) if x == 0: break x = 1000-x b = 0 for c in a: b += x//c x %= c print(b) ```
instruction
0
11,575
10
23,150
Yes
output
1
11,575
10
23,151
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None Submitted Solution: ``` for i in range(5): a=int(input()) A=1000-a x=A//500 M=A%500 y=M//100 M=M%100 z=M//50 M=M%50 w=M//10 M=M%10 u=M//5 M=M%5 if a==0: break print(x+y+z+w+u+M) ```
instruction
0
11,576
10
23,152
Yes
output
1
11,576
10
23,153
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None Submitted Solution: ``` coins = [500, 100, 50, 10, 5, 1] if __name__ == '__main__': p = int(input()) ch = 1000 - p count = 0 for coin in coins: n = ch // coin ch -= coin * n count += n print(count) ```
instruction
0
11,577
10
23,154
No
output
1
11,577
10
23,155
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None Submitted Solution: ``` for e in iter(input,'0'): a,b=0,1000-int(e) for i in[500,100,50,10,5]: b%=i a+=b//i print(b+a) ```
instruction
0
11,578
10
23,156
No
output
1
11,578
10
23,157
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None Submitted Solution: ``` c, o= 0, 1000-int(input()) def change(v): global c, o if o>= v: t= o//v o, c= o-(v*t), c+t for l in [500, 100, 50, 10, 5, 1]: change(l) print(int(c+o)) ```
instruction
0
11,579
10
23,158
No
output
1
11,579
10
23,159
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. problem Taro often shop at JOI general stores. At JOI general stores, there are enough coins of 500 yen, 100 yen, 50 yen, 10 yen, 5 yen, and 1 yen, and we always pay the change so that the number of coins is the smallest. Create a program to find the number of coins included in the change you receive when Taro goes shopping at the JOI general store and puts out one 1000 yen bill at the cash register. For example, in the case of input example 1, 4 must be output as shown in the figure below. <image> input The input consists of multiple datasets. Each dataset consists of one line, and only one amount (an integer of 1 or more and less than 1000) paid by Taro is written. The input data ends with one zero line. The number of datasets does not exceed 5. output Output the number of coins included in the change for each dataset on one line. Examples Input 380 1 0 Output 4 15 Input None Output None Submitted Solution: ``` c, o= 0, 1000-int(input()) def change(v): global c, o if o>= v: t= o//v o, c= o-(v*t), c+t for l in [500, 100, 50, 10, 5, 1]: change(l) print(c+o) ```
instruction
0
11,580
10
23,160
No
output
1
11,580
10
23,161
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kuroni isn't good at economics. So he decided to found a new financial pyramid called Antihype. It has the following rules: 1. You can join the pyramid for free and get 0 coins. 2. If you are already a member of Antihype, you can invite your friend who is currently not a member of Antihype, and get a number of coins equal to your age (for each friend you invite). n people have heard about Antihype recently, the i-th person's age is a_i. Some of them are friends, but friendship is a weird thing now: the i-th person is a friend of the j-th person if and only if a_i AND a_j = 0, where AND denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND). Nobody among the n people is a member of Antihype at the moment. They want to cooperate to join and invite each other to Antihype in a way that maximizes their combined gainings. Could you help them? Input The first line contains a single integer n (1≤ n ≤ 2⋅ 10^5) — the number of people. The second line contains n integers a_1, a_2, ..., a_n (0≤ a_i ≤ 2⋅ 10^5) — the ages of the people. Output Output exactly one integer — the maximum possible combined gainings of all n people. Example Input 3 1 2 3 Output 2 Note Only the first and second persons are friends. The second can join Antihype and invite the first one, getting 2 for it. Submitted Solution: ``` n=int(input()) arr=list(map(int,input().split())) s=0 arr.sort(reverse=True) for i in range(n-1): for j in range(i+1,n): if((arr[i]&arr[j])==0): s=s+arr[i] print(s) ```
instruction
0
11,758
10
23,516
No
output
1
11,758
10
23,517
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kuroni isn't good at economics. So he decided to found a new financial pyramid called Antihype. It has the following rules: 1. You can join the pyramid for free and get 0 coins. 2. If you are already a member of Antihype, you can invite your friend who is currently not a member of Antihype, and get a number of coins equal to your age (for each friend you invite). n people have heard about Antihype recently, the i-th person's age is a_i. Some of them are friends, but friendship is a weird thing now: the i-th person is a friend of the j-th person if and only if a_i AND a_j = 0, where AND denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND). Nobody among the n people is a member of Antihype at the moment. They want to cooperate to join and invite each other to Antihype in a way that maximizes their combined gainings. Could you help them? Input The first line contains a single integer n (1≤ n ≤ 2⋅ 10^5) — the number of people. The second line contains n integers a_1, a_2, ..., a_n (0≤ a_i ≤ 2⋅ 10^5) — the ages of the people. Output Output exactly one integer — the maximum possible combined gainings of all n people. Example Input 3 1 2 3 Output 2 Note Only the first and second persons are friends. The second can join Antihype and invite the first one, getting 2 for it. Submitted Solution: ``` n = int(input()) age = [int(x) for x in input().split()] arr = [] # each block will have list of persongs having that position binary 0 l = len(bin(max(age))) - 2 for i in range(l): arr.append([]) age.sort(reverse = True) for index,person in enumerate(age): i = 0 for c in bin(person)[2:][::-1]: if c == '0': arr[i].append(index) i += 1 while i < l: arr[i].append(index) i += 1 # print(arr) from heapq import heapify,heappush,heappop q = [] In_pyramid = {} In_pyramid[0] = True heappush(q,-age[0]) gain = 0 j = 1 while q: # print('pyramid') # print(In_pyramid) p = -heappop(q) # print('pop value') # print(p) s = bin(p)[2:][::-1] # print(s) i = 0 friend = set() flag = False for e in s: if e == '1': if not friend and not flag: flag = True friend = set(arr[i]) else: friend = friend.intersection(set(arr[i])) i += 1 # while i < l: # if not friend: # friend =set(arr[i]) # else: # friend = friend.intersection(set(arr[i])) # i += 1 # print(friend) for index in friend: if index in In_pyramid: continue heappush(q,-age[index]) In_pyramid[index] = True # print('Gain added') gain += p # print(gain) if not q: while j<n and age[j] in In_pyramid: j += 1 if j < n: heappush(q,-age[j]) In_pyramid[j] = True j += 1 print(gain) ```
instruction
0
11,759
10
23,518
No
output
1
11,759
10
23,519
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kuroni isn't good at economics. So he decided to found a new financial pyramid called Antihype. It has the following rules: 1. You can join the pyramid for free and get 0 coins. 2. If you are already a member of Antihype, you can invite your friend who is currently not a member of Antihype, and get a number of coins equal to your age (for each friend you invite). n people have heard about Antihype recently, the i-th person's age is a_i. Some of them are friends, but friendship is a weird thing now: the i-th person is a friend of the j-th person if and only if a_i AND a_j = 0, where AND denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND). Nobody among the n people is a member of Antihype at the moment. They want to cooperate to join and invite each other to Antihype in a way that maximizes their combined gainings. Could you help them? Input The first line contains a single integer n (1≤ n ≤ 2⋅ 10^5) — the number of people. The second line contains n integers a_1, a_2, ..., a_n (0≤ a_i ≤ 2⋅ 10^5) — the ages of the people. Output Output exactly one integer — the maximum possible combined gainings of all n people. Example Input 3 1 2 3 Output 2 Note Only the first and second persons are friends. The second can join Antihype and invite the first one, getting 2 for it. Submitted Solution: ``` #https://codeforces.com/contest/1305/problem/G n=int(input()) l=input().split(' ') a=[] for i in l: a.append(int(i)) a.sort(reverse=True) sum=0 for x in a: for y in a[1:]: if(x&y==0): sum=sum+x a.remove(y) print(sum) ```
instruction
0
11,760
10
23,520
No
output
1
11,760
10
23,521
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Kuroni isn't good at economics. So he decided to found a new financial pyramid called Antihype. It has the following rules: 1. You can join the pyramid for free and get 0 coins. 2. If you are already a member of Antihype, you can invite your friend who is currently not a member of Antihype, and get a number of coins equal to your age (for each friend you invite). n people have heard about Antihype recently, the i-th person's age is a_i. Some of them are friends, but friendship is a weird thing now: the i-th person is a friend of the j-th person if and only if a_i AND a_j = 0, where AND denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND). Nobody among the n people is a member of Antihype at the moment. They want to cooperate to join and invite each other to Antihype in a way that maximizes their combined gainings. Could you help them? Input The first line contains a single integer n (1≤ n ≤ 2⋅ 10^5) — the number of people. The second line contains n integers a_1, a_2, ..., a_n (0≤ a_i ≤ 2⋅ 10^5) — the ages of the people. Output Output exactly one integer — the maximum possible combined gainings of all n people. Example Input 3 1 2 3 Output 2 Note Only the first and second persons are friends. The second can join Antihype and invite the first one, getting 2 for it. Submitted Solution: ``` def combinedGainings(n, peoples): count = 0 for i in range(n): for j in range(n): if peoples[i] & peoples[j] == 0: count += 1 return count if __name__=="__main__": n = int(input()) visit = [False] peoples = list(map(int, input().split())) res = combinedGainings(n, peoples) print(res) ```
instruction
0
11,761
10
23,522
No
output
1
11,761
10
23,523
Provide a correct Python 3 solution for this coding contest problem. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0
instruction
0
12,315
10
24,630
"Correct Solution: ``` import sys X = int(input()) if (X//100)*5 >= X%100: print(1) else: print(0) ```
output
1
12,315
10
24,631
Provide a correct Python 3 solution for this coding contest problem. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0
instruction
0
12,316
10
24,632
"Correct Solution: ``` a=int(input()) b=a//100 if b*5>=a%100: print(1) else: print(0) ```
output
1
12,316
10
24,633
Provide a correct Python 3 solution for this coding contest problem. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0
instruction
0
12,317
10
24,634
"Correct Solution: ``` X = int(input()) if X % 100 <= ((X // 100) * 5): print(1) else: print(0) ```
output
1
12,317
10
24,635
Provide a correct Python 3 solution for this coding contest problem. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0
instruction
0
12,318
10
24,636
"Correct Solution: ``` x=int(input()) y=x//100 z=x-y*100 if z>5*y: print(0) else: print(1) ```
output
1
12,318
10
24,637
Provide a correct Python 3 solution for this coding contest problem. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0
instruction
0
12,319
10
24,638
"Correct Solution: ``` x = int(input()) q = x // 100 print('1') if (x <= q*100 + q*5) else print('0') ```
output
1
12,319
10
24,639
Provide a correct Python 3 solution for this coding contest problem. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0
instruction
0
12,320
10
24,640
"Correct Solution: ``` x=int(input()) if x%100>(x//100)*5: print(0) else: print(1) ```
output
1
12,320
10
24,641
Provide a correct Python 3 solution for this coding contest problem. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0
instruction
0
12,321
10
24,642
"Correct Solution: ``` X=int(input()) print(1 if X>=2100 or X//100*5>=X%100 else 0) ```
output
1
12,321
10
24,643
Provide a correct Python 3 solution for this coding contest problem. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0
instruction
0
12,322
10
24,644
"Correct Solution: ``` X=int(input()) a=X//100 print(0 if a*5<X-a*100 else 1) ```
output
1
12,322
10
24,645
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0 Submitted Solution: ``` x = int(input()) a = x//100 b = x%100 if b <= 5*a: print(1) exit() print(0) ```
instruction
0
12,323
10
24,646
Yes
output
1
12,323
10
24,647
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0 Submitted Solution: ``` n=int(input()) try:print(+(n%100/(n//100)<=5)) except:print(+(n<1)) ```
instruction
0
12,324
10
24,648
Yes
output
1
12,324
10
24,649
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0 Submitted Solution: ``` x = int(input()) if x%100 <= x//100 * 5: print(1) else: print(0) ```
instruction
0
12,325
10
24,650
Yes
output
1
12,325
10
24,651
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0 Submitted Solution: ``` x = int(input()) k = x//100 if k*5+k*100 >= x: print(1) else: print(0) ```
instruction
0
12,326
10
24,652
Yes
output
1
12,326
10
24,653
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0 Submitted Solution: ``` def is_eq(X): # 品数の個数をaとする a_list = range(1, 1000) for a in a_list: if 100 * a <= x & x <= a * 105: return 1 else: return 0 X = int(input()) print(is_eq(X)) ```
instruction
0
12,327
10
24,654
No
output
1
12,327
10
24,655
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0 Submitted Solution: ``` X = int(input()) # 100 * 21 = 105 * 20, が最大の可換性であり,基本的にはあり得る組み合わせは非常に少ない.それ以外は # 100 * 26 = 104 * 25, 100 * 101 = 101 * 100,これとかはありえない,100*51 = 102 * 50,とかはありえる #100000/100 = 1000せいぜい商品の合計は1000子である10^3ならば10^3 6回ループ回してもOK10^18になるけど? import sys for a in range(1001): # aだけは1000の場合がありうるわ for b in range(1000): for c in range(1000): for d in range(1000): for e in range(1000): for f in range(1000): price = a*100 + b*101 + c*102 + d*103 + e*104 + f*105 rest = X-price if rest >= 0: if rest%100 == 0 or rest%101==0 or rest%102==0 or rest%103==0 or rest%104==0 or rest%105==0: print(1) sys.exit() print(0) ```
instruction
0
12,328
10
24,656
No
output
1
12,328
10
24,657
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0 Submitted Solution: ``` N = int(input()) l = 100; r = 105 for i in range(5000): if l <= N <= r: print(1) break l += 100 r += 105 print(0) ```
instruction
0
12,329
10
24,658
No
output
1
12,329
10
24,659
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. AtCoder Mart sells 1000000 of each of the six items below: * Riceballs, priced at 100 yen (the currency of Japan) each * Sandwiches, priced at 101 yen each * Cookies, priced at 102 yen each * Cakes, priced at 103 yen each * Candies, priced at 104 yen each * Computers, priced at 105 yen each Takahashi wants to buy some of them that cost exactly X yen in total. Determine whether this is possible. (Ignore consumption tax.) Constraints * 1 \leq X \leq 100000 * X is an integer. Input Input is given from Standard Input in the following format: X Output If it is possible to buy some set of items that cost exactly X yen in total, print `1`; otherwise, print `0`. Examples Input 615 Output 1 Input 217 Output 0 Submitted Solution: ``` def subset_sum(numbers, target, partial=[]): s = sum(partial) # check if the partial sum is equals to target if s == target: print("1") return if s > target: print("0") exit() for i in range(len(numbers)): n = numbers[i] remaining = numbers[i+1:] subset_sum(remaining, target, partial + [n]) N = int(input()) subset_sum([100,101,102,103,104,105],N) ```
instruction
0
12,330
10
24,660
No
output
1
12,330
10
24,661
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input.
instruction
0
12,875
10
25,750
Tags: brute force, dp, greedy, math, meet-in-the-middle, number theory Correct Solution: ``` w,m=[int(x) for x in input().split()] for i in range(101): if m%w==0: m/=w elif (m-1)%w==0: m=m//w elif (m+1)%w==0: m=(m+1)/w else: print("NO") exit() if m==0: print("YES") else: print("NO") ```
output
1
12,875
10
25,751
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input.
instruction
0
12,876
10
25,752
Tags: brute force, dp, greedy, math, meet-in-the-middle, number theory Correct Solution: ``` w,m = map(int,input().split()) A = [] while m: A.append(m%w) m //= w sz = len(A) A.append(0) for i in range(sz): x = A[i] if x != 0 and x != 1 and x != w-1 and x != w: print("NO") exit() if x == w-1 or x == w: A[i+1] += 1 print("YES") ```
output
1
12,876
10
25,753
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input.
instruction
0
12,877
10
25,754
Tags: brute force, dp, greedy, math, meet-in-the-middle, number theory Correct Solution: ``` n,m=map(int,input().split()) for i in range(33): m=min(m,abs(n**(32-i)-m)) print("YES" if m==0 else "NO") ```
output
1
12,877
10
25,755
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input.
instruction
0
12,878
10
25,756
Tags: brute force, dp, greedy, math, meet-in-the-middle, number theory Correct Solution: ``` from sys import stdout from sys import stdin def get(): return stdin.readline().strip() def getf(): return [int(i) for i in get().split()] def put(a, end = "\n"): stdout.write(str(a) + end) def putf(a, sep = " ", end = "\n"): stdout.write(sep.join([str(i) for i in a]) + end) def putff(a, sep = " ", end = "\n"): [putf(i, sep, end) for i in a] #from math import ceil, gcd, factorial as fac #from collections import defaultdict as dd #from bisect import insort, bisect_left as bl, bisect_right as br def transf(a, w): ans = [] while(a > 0): ans.append(a % w) a //= w return ans[ :: -1] def solve(a, w): ans = [] #print(a) p = 0 for i in range(len(a) - 1, 0, -1): if(a[i] + p >= w): a[i] = (a[i] + p) % w p = 1 else: a[i] += p p = 0 if(a[i] in [0, 1]): ans.append(0) pass elif(a[i] == w - 1): p = 1 ans.append(1) else: return "NO" ans.reverse() #print(a) #print(ans) for i in ans: if(i not in [0, 1]): return "NO" return "YES" def main(): w, m = getf() print(solve([0] + transf(m, w), w)) main() ```
output
1
12,878
10
25,757
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input.
instruction
0
12,879
10
25,758
Tags: brute force, dp, greedy, math, meet-in-the-middle, number theory Correct Solution: ``` from heapq import heapify, heappush, heappop from collections import Counter, defaultdict, deque, OrderedDict from sys import setrecursionlimit, maxsize from bisect import bisect_left, bisect, insort_left, insort from math import ceil, log, factorial, hypot, pi from fractions import gcd from copy import deepcopy from functools import reduce from operator import mul from itertools import product, permutations, combinations, accumulate, cycle from string import ascii_uppercase, ascii_lowercase, ascii_letters, digits, hexdigits, octdigits prod = lambda l: reduce(mul, l) prodmod = lambda l, mod: reduce(lambda x, y: mul(x,y)%mod, l) def read_list(t): return [t(x) for x in input().split()] def read_line(t): return t(input()) def read_lines(t, N): return [t(input()) for _ in range(N)] def convert_base(num, base): converted = [] while num: num, r = divmod(num, base) converted.append(r) return converted def solve(w, m): w_m = convert_base(m, w) w_m += [0] * (101-len(w_m)) for i in range(101): if w_m[i] == 0 or w_m[i] == 1: continue elif w_m[i] == w or w_m[i] == w-1: w_m[i+1] += 1 else: return False return True w, m = read_list(int) print('YES' if solve(w, m) else 'NO') ```
output
1
12,879
10
25,759
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input.
instruction
0
12,880
10
25,760
Tags: brute force, dp, greedy, math, meet-in-the-middle, number theory Correct Solution: ``` x=[0]*101 ww,m=map(int,input().split()) if ww==2: print('YES') exit() w=ww c=0 while (m): x[c]=m%w m//=w c+=1 an=1 w=ww vis=[0]*101 for i in range(101): if x[i]==w-1: vis[i]=1 x[i]=0 if i+1>100: an=0 break else: x[i+1]+=1 elif x[i]==w: x[i]=0 x[i+1]+=1 # print(x) for i in range(101): if x[i]>1: an=0 break else: if x[i]==1 and vis[i]!=0: an=0 break print('YES' if an else 'NO') ```
output
1
12,880
10
25,761
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input.
instruction
0
12,881
10
25,762
Tags: brute force, dp, greedy, math, meet-in-the-middle, number theory Correct Solution: ``` W, M = (input().split(' ')) W = int(W) M = int(M) if W == 2 or W == 3: print("YES") else: N = 16 A = [0]*(N+1) A[0] = 1 for I in range(1, N): A[I] = A[I-1]*W if A[I] > 10000000001000000000: N = I; break #print(N) S = set() ok = False for msk in range(1 << N): curr = 0 for I in range(N): if msk & (1 << I) > 0: curr += A[I] if curr == M or (curr-M in S): ok = True break S.add(curr) if ok: print("YES") else: print("NO") ```
output
1
12,881
10
25,763
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input.
instruction
0
12,882
10
25,764
Tags: brute force, dp, greedy, math, meet-in-the-middle, number theory Correct Solution: ``` #!/usr/bin/env python3 import sys w, m = list(map(int, sys.stdin.readline().split())) a = sum(pow(w, i) for i in range(101)) + m while a > 0: if a % w > 2: print('NO') sys.exit(0) a //= w print('YES') ```
output
1
12,882
10
25,765
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input. Submitted Solution: ``` base,num = map(int,input().split()) if base==3 or base==2 : print("YES") quit() newNum = [] while num > 0: newNum=[num % base] + newNum num //= base newNum=[0]+newNum for i in range(len(newNum)-1,0,-1) : if newNum[i]==base or newNum[i]==base-1 : newNum[i-1]+=1 continue if newNum[i]>1 : print("NO") quit() print("YES") ```
instruction
0
12,883
10
25,766
Yes
output
1
12,883
10
25,767
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input. Submitted Solution: ``` w, m = map(int, input().split()) while m > 1: c = m % w if c not in {0, 1, w - 1}: print('NO') exit() m //= w if c == w - 1: m += 1 print('YES') ```
instruction
0
12,884
10
25,768
Yes
output
1
12,884
10
25,769
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. Input The first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item. Output Print word 'YES' if the item can be weighted and 'NO' if it cannot. Examples Input 3 7 Output YES Input 100 99 Output YES Input 100 50 Output NO Note Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input. Submitted Solution: ``` w, m = map(int, input().split()) while m > 0: digit = m % w if digit == 1: m -= 1 elif digit == w - 1: m += 1 elif digit != 0: m = -1 if m > 0: m //= w print("YES" if m == 0 else "NO") ```
instruction
0
12,885
10
25,770
Yes
output
1
12,885
10
25,771