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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n incoming messages for Vasya. The i-th message is going to be received after ti minutes. Each message has a cost, which equals to A initially. After being received, the cost of a message decreases by B each minute (it can become negative). Vasya can read any message after receiving it at any moment of time. After reading the message, Vasya's bank account receives the current cost of this message. Initially, Vasya's bank account is at 0. Also, each minute Vasya's bank account receives C·k, where k is the amount of received but unread messages. Vasya's messages are very important to him, and because of that he wants to have all messages read after T minutes. Determine the maximum amount of money Vasya's bank account can hold after T minutes. Input The first line contains five integers n, A, B, C and T (1 ≤ n, A, B, C, T ≤ 1000). The second string contains n integers ti (1 ≤ ti ≤ T). Output Output one integer — the answer to the problem. Examples Input 4 5 5 3 5 1 5 5 4 Output 20 Input 5 3 1 1 3 2 2 2 1 1 Output 15 Input 5 5 3 4 5 1 2 3 4 5 Output 35 Note In the first sample the messages must be read immediately after receiving, Vasya receives A points for each message, n·A = 20 in total. In the second sample the messages can be read at any integer moment. In the third sample messages must be read at the moment T. This way Vasya has 1, 2, 3, 4 and 0 unread messages at the corresponding minutes, he gets 40 points for them. When reading messages, he receives (5 - 4·3) + (5 - 3·3) + (5 - 2·3) + (5 - 1·3) + 5 = - 5 points. This is 35 in total. Submitted Solution: ``` n, a, b, c, t = [int(x) for x in input().split()] s = 0 for i in [int(x) for x in input().split()]: s ++ max(a, a-b*(t-i)+c*(t-i)) print(s) ```
instruction
0
74,737
10
149,474
No
output
1
74,737
10
149,475
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are running for a governor in a small city in Russia. You ran some polls and did some research, and for every person in the city you know whom he will vote for, and how much it will cost to bribe that person to vote for you instead of whomever he wants to vote for right now. You are curious, what is the smallest amount of money you need to spend on bribing to win the elections. To win elections you need to have strictly more votes than any other candidate. Input First line contains one integer n (1 ≤ n ≤ 105) — number of voters in the city. Each of the next n lines describes one voter and contains two integers ai and bi (0 ≤ ai ≤ 105; 0 ≤ bi ≤ 104) — number of the candidate that voter is going to vote for and amount of money you need to pay him to change his mind. You are the candidate 0 (so if a voter wants to vote for you, ai is equal to zero, in which case bi will also be equal to zero). Output Print one integer — smallest amount of money you need to spend to win the elections. Examples Input 5 1 2 1 2 1 2 2 1 0 0 Output 3 Input 4 1 2 1 2 2 1 0 0 Output 2 Input 1 100000 0 Output 0 Submitted Solution: ``` print(3) ```
instruction
0
75,417
10
150,834
No
output
1
75,417
10
150,835
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are running for a governor in a small city in Russia. You ran some polls and did some research, and for every person in the city you know whom he will vote for, and how much it will cost to bribe that person to vote for you instead of whomever he wants to vote for right now. You are curious, what is the smallest amount of money you need to spend on bribing to win the elections. To win elections you need to have strictly more votes than any other candidate. Input First line contains one integer n (1 ≤ n ≤ 105) — number of voters in the city. Each of the next n lines describes one voter and contains two integers ai and bi (0 ≤ ai ≤ 105; 0 ≤ bi ≤ 104) — number of the candidate that voter is going to vote for and amount of money you need to pay him to change his mind. You are the candidate 0 (so if a voter wants to vote for you, ai is equal to zero, in which case bi will also be equal to zero). Output Print one integer — smallest amount of money you need to spend to win the elections. Examples Input 5 1 2 1 2 1 2 2 1 0 0 Output 3 Input 4 1 2 1 2 2 1 0 0 Output 2 Input 1 100000 0 Output 0 Submitted Solution: ``` def __main__(): n = int(input()) voteCnt = [0] * 100001 voters = [] for i in range(0, n): voter = input().split(" ") voter = [int(x) for x in voter] [a, b] = voter voteCnt[a] += 1 [a, b] = [b, a] voters.append(voter) voters.sort() votesToBeat = max(voteCnt) duplicates = False for cnt in voteCnt: if cnt == votesToBeat: duplicates = True break minBribe = 0 if duplicates: for [b, a] in voters: voteCnt[a] -= 1 voteCnt[0] += 1 minBribe += b if voteCnt[0] > votesToBeat: break print(minBribe) __main__() ```
instruction
0
75,418
10
150,836
No
output
1
75,418
10
150,837
Provide a correct Python 3 solution for this coding contest problem. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130
instruction
0
75,798
10
151,596
"Correct Solution: ``` pre = 4280 v = [0,125,140,160] while True: w = int(input()) if w == -1:break s= 1150 amari = w for i in reversed(range(1,4)): if amari > i*10: spam = amari - i*10 s += spam * v[i] amari = i*10 print (pre - s) ```
output
1
75,798
10
151,597
Provide a correct Python 3 solution for this coding contest problem. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130
instruction
0
75,799
10
151,598
"Correct Solution: ``` def water_charges(w): progressive_rate = { (float('inf'),30):160, (30,20):140, (20,10):125, (10, 0):0} charge = basic_charge = 1150 for (upper, lower), rate in progressive_rate.items(): usage = min(w, upper) - lower if 0 < usage: charge += usage * rate return charge import sys f = sys.stdin last_water_charges = 4280 while True: w = int(f.readline()) if w == -1: break print(last_water_charges - water_charges(w)) ```
output
1
75,799
10
151,599
Provide a correct Python 3 solution for this coding contest problem. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130
instruction
0
75,800
10
151,600
"Correct Solution: ``` def f(w): if w <= 10: return 4280 - 1150 elif w <= 20: return 4280 - (1150 + f1(w - 10)) elif w <= 30: return 4280 - (1150 + f1(10) + f2(w - 20)) else: return 4280 - (1150 + f1(10) + f2(10) + f3(w - 30)) def f1(x): return x * 125 def f2(x): return x * 140 def f3(x): return x * 160 while True: _w = int(input()) if _w == -1: break print(f(_w)) ```
output
1
75,800
10
151,601
Provide a correct Python 3 solution for this coding contest problem. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130
instruction
0
75,801
10
151,602
"Correct Solution: ``` while 1 : n=int(input()) if n==-1: break else: if n<=10: w=1150 elif 10<n<=20: w=1150+(n-10)*125 elif 20<n<=30: w=2400+(n-20)*140 else: w=3800+(n-30)*160 print(4280-w) ```
output
1
75,801
10
151,603
Provide a correct Python 3 solution for this coding contest problem. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130
instruction
0
75,802
10
151,604
"Correct Solution: ``` while True: n=int(input()) if n==-1: break a=4280 b=1150 if n<=10: print(a-b) elif 10<n<=20: print(a-(b+(n-10)*125)) elif 20<n<=30: print(a-(b+1250+(n-20)*140)) else: print(a-(b+1250+1400+(n-30)*160)) ```
output
1
75,802
10
151,605
Provide a correct Python 3 solution for this coding contest problem. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130
instruction
0
75,803
10
151,606
"Correct Solution: ``` # -*- coding: utf-8 -*- """ Cutting Down Water Bills http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0216 """ import sys def solve(w): ans = 1150 if w > 10: ans += 125 * min(10, (w-10)) if w > 20: ans += 140 * min(10, (w-20)) if w > 30: ans += 160 * (w-30) return 4280 - ans def main(args): while True: w = int(input()) if w == -1: break ans = solve(w) print(ans) if __name__ == '__main__': main(sys.argv[1:]) ```
output
1
75,803
10
151,607
Provide a correct Python 3 solution for this coding contest problem. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130
instruction
0
75,804
10
151,608
"Correct Solution: ``` while True: w = int(input()) if w==-1: break if w <= 10: mon = 1150 elif 10 < w <= 20: mon = 1150 + (w-10)*125 elif 20 < w <= 30: mon = 1150 + 1250 +(w-20)*140 else: mon = 1150 + 1250 + 1400 +(w-30)*160 print(4280-mon) ```
output
1
75,804
10
151,609
Provide a correct Python 3 solution for this coding contest problem. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130
instruction
0
75,805
10
151,610
"Correct Solution: ``` # AOJ 0216 Cutting Down Water Bills # Python3 2018.6.23 bal4u while 1: w = int(input()) if w < 0: break s = 1150 if w > 10: if w <= 20: s+= (w-10)*125 else: s += 1250 if w > 20: if w <= 30: s += (w-20)*140 else: s += 1400 if w > 30: s += (w-30)*160; print(4280-s) ```
output
1
75,805
10
151,611
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130 Submitted Solution: ``` while 1: n=int(input()) if n==-1:break w=1150 if n>30: w+=(n-30)*160 n-=n-30 if n>20: w+=(n-20)*140 n-=n-20 if n>10: w+=(n-10)*125 print(4280-w) ```
instruction
0
75,806
10
151,612
Yes
output
1
75,806
10
151,613
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130 Submitted Solution: ``` def fee(w): acc = 1150 if w <= 10: return acc w -= 10 if w <= 10: return acc + 125 * w acc += 1250 w -= 10 if w <= 10: return acc + 140 * w acc += 1400 w-= 10 return acc + 160 * w while True: w = int(input()) if w == -1: break print(4280 - fee(w)) ```
instruction
0
75,807
10
151,614
Yes
output
1
75,807
10
151,615
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130 Submitted Solution: ``` while True : w = int(input()) if w == -1 : break if w < 10 : print(4280-1150) elif w < 20 : print(4280-(1150+(w-10)*125)) elif w < 30 : print(4280-(1150+10*125+(w-20)*140)) else : print(4280-(1150+10*125+10*140+(w-30)*160)) ```
instruction
0
75,808
10
151,616
Yes
output
1
75,808
10
151,617
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mr. Matsudaira is always careful about eco-friendliness in his life. Last month's water charge was 4280 yen, which exceeded the usual target of 4000 yen, so we have been trying to save water this month. How much have you saved on your water bill compared to last month? Enter this month's water usage w [m3] and create a program that outputs how much water charges you have saved compared to last month's water charges of 4280 yen. The water charge is calculated as follows. (Water charge) = (Basic charge) + (Charge based on water volume) The charge based on the amount of water is calculated according to the amount used as shown in the table below. Stage | Water volume | Price --- | --- | --- 1st stage charge | Up to 10 [m3] | Basic charge 1150 yen Second stage fee | 10 [m3] Excess up to 20 [m3] | 125 yen per [m3] Third stage charge | 20 [m3] Excess up to 30 [m3] | 140 yen per [m3] 4th stage charge | 30 [m3] excess | 160 yen per [m3] For example, if the amount of water used is 40 [m3], the basic charge is 1150 yen (1st stage) + 10 [m3] x 125 yen (2nd stage) + 10 [m3] x 140 yen (3rd stage) + 10 [ m3] x 160 yen (4th stage) = 5400 yen. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of -1. For each dataset, an integer w (0 ≤ w ≤ 100) representing the amount of water used this month is given on one line. The number of datasets does not exceed 200. Output For each input dataset, the difference from last month's water charges is output on one line. Example Input 29 40 0 -1 Output 620 -1120 3130 Submitted Solution: ``` while True: N=int(input()) if N== -1: break S=1150 if N>30: S=S+(N-30)*160 N-=N-30 if N>20: S=S+(N-20)*140 N-=N-20 if N>10: S=S+(N-10)*125 print(4280-S) ```
instruction
0
75,809
10
151,618
Yes
output
1
75,809
10
151,619
Provide tags and a correct Python 3 solution for this coding contest problem. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80.
instruction
0
76,072
10
152,144
Tags: brute force, constructive algorithms, greedy, math Correct Solution: ``` import sys #import math #from queue import * #import random #sys.setrecursionlimit(int(1e6)) input = sys.stdin.readline ############ ---- USER DEFINED INPUT FUNCTIONS ---- ############ def inp(): return(int(input())) def inara(): return(list(map(int,input().split()))) def insr(): s = input() return(list(s[:len(s) - 1])) def invr(): return(map(int,input().split())) ################################################################ ############ ---- THE ACTUAL CODE STARTS BELOW ---- ############ t=inp() for _ in range(t): l,r=invr() if l*2>r: print("YES") else: print("NO") ```
output
1
76,072
10
152,145
Provide tags and a correct Python 3 solution for this coding contest problem. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80.
instruction
0
76,073
10
152,146
Tags: brute force, constructive algorithms, greedy, math Correct Solution: ``` N=int(input()) l=[] r=[] ans=[] for i in range(N): t=list(map(int, input().split())) if 2*t[0]>t[1]: ans.append("YES") else: ans.append("NO") for i in ans: print (i) ```
output
1
76,073
10
152,147
Provide tags and a correct Python 3 solution for this coding contest problem. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80.
instruction
0
76,074
10
152,148
Tags: brute force, constructive algorithms, greedy, math Correct Solution: ``` for _ in range(int(input())): l,r=map(int,input().split()) if(2*l>r): print('YES') else: print('NO') ```
output
1
76,074
10
152,149
Provide tags and a correct Python 3 solution for this coding contest problem. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80.
instruction
0
76,075
10
152,150
Tags: brute force, constructive algorithms, greedy, math Correct Solution: ``` t = int(input()) for _ in range(t): l, r = map(int, input().split()) if 2*l-r > 0: print("YES") else: print("NO") ```
output
1
76,075
10
152,151
Provide tags and a correct Python 3 solution for this coding contest problem. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80.
instruction
0
76,076
10
152,152
Tags: brute force, constructive algorithms, greedy, math Correct Solution: ``` from math import * sInt = lambda: int(input()) mInt = lambda: map(int, input().split()) lInt = lambda: list(map(int, input().split())) t = sInt() for _ in range(t): l,r = mInt() if l<=r//2: print("NO") else: print("YES") ```
output
1
76,076
10
152,153
Provide tags and a correct Python 3 solution for this coding contest problem. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80.
instruction
0
76,077
10
152,154
Tags: brute force, constructive algorithms, greedy, math Correct Solution: ``` n = int(input()) for i in range(n): l, r = map(int, input().split()) if 2*l > r: print("YES") else: print("NO") ```
output
1
76,077
10
152,155
Provide tags and a correct Python 3 solution for this coding contest problem. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80.
instruction
0
76,078
10
152,156
Tags: brute force, constructive algorithms, greedy, math Correct Solution: ``` for _ in range(int(input())): a, b = map(int, input().split()) print("YES" if b-a < a else 'NO') ```
output
1
76,078
10
152,157
Provide tags and a correct Python 3 solution for this coding contest problem. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80.
instruction
0
76,079
10
152,158
Tags: brute force, constructive algorithms, greedy, math Correct Solution: ``` for t in range(int(input())): l,r = map(int,input().split()) print('YES' if l*2>r else 'NO') ```
output
1
76,079
10
152,159
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80. Submitted Solution: ``` t = int(input()) for i in range(t): l, r = list(map(int, input().split())) a = r + 1 s = False if l % a >= a / 2 and r % a >= a / 2: s = True else: s = False print('NO') if s: print('YES') ```
instruction
0
76,080
10
152,160
Yes
output
1
76,080
10
152,161
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80. Submitted Solution: ``` for i in range(int(input())): a,b=list(map(int,input().split())) if a*2<=b: print("NO") else: print("YES") ```
instruction
0
76,081
10
152,162
Yes
output
1
76,081
10
152,163
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80. Submitted Solution: ``` t=int(input()) while(t>0): t-=1 a,b=map(int,input().split()) if(a*2<=b): print("NO") else: print("YES") ```
instruction
0
76,082
10
152,164
Yes
output
1
76,082
10
152,165
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80. Submitted Solution: ``` from math import ceil def solve(l, r): if l < ceil((r + 1) / 2): return False return True for _ in range(int(input())): l, r = list(map(int, input().split())) if solve(l, r): print("YES") else: print("NO") ```
instruction
0
76,083
10
152,166
Yes
output
1
76,083
10
152,167
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80. Submitted Solution: ``` t=int(input()) while t>0: t-=1 l,r=[int(x) for x in input().split()] if l>1: print("YES") else: print("NO") ```
instruction
0
76,084
10
152,168
No
output
1
76,084
10
152,169
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80. Submitted Solution: ``` import time,math as mt,bisect as bs,sys from sys import stdin,stdout from collections import deque from fractions import Fraction from collections import Counter from collections import OrderedDict pi=3.14159265358979323846264338327950 def II(): # to take integer input return int(stdin.readline()) def IP(): # to take tuple as input return map(int,stdin.readline().split()) def L(): # to take list as input return list(map(int,stdin.readline().split())) def P(x): # to print integer,list,string etc.. return stdout.write(str(x)+"\n") def PI(x,y): # to print tuple separatedly return stdout.write(str(x)+" "+str(y)+"\n") def lcm(a,b): # to calculate lcm return (a*b)//gcd(a,b) def gcd(a,b): # to calculate gcd if a==0: return b elif b==0: return a if a>b: return gcd(a%b,b) else: return gcd(a,b%a) def bfs(adj,v): # a schema of bfs visited=[False]*(v+1) q=deque() while q: pass def sieve(): li=[True]*(2*(10**5)+5) li[0],li[1]=False,False for i in range(2,len(li),1): if li[i]==True: for j in range(i*i,len(li),i): li[j]=False prime=[] for i in range((2*(10**5)+5)): if li[i]==True: prime.append(i) return prime def setBit(n): count=0 while n!=0: n=n&(n-1) count+=1 return count mx=10**7 spf=[mx]*(mx+1) def SPF(): spf[1]=1 for i in range(2,mx+1): if spf[i]==mx: spf[i]=i for j in range(i*i,mx+1,i): if i<spf[j]: spf[j]=i return def readTree(n,e): # to read tree adj=[set() for i in range(n+1)] for i in range(e): u1,u2=IP() adj[u1].add(u2) return adj ##################################################################################### mod=10**9+7 def solve(): l,r=IP() x=2*l-1 if x>=l and x<=r: print("NO") return print("YES") return return t=II() for i in range(t): solve() ####### # # ####### # # # #### # # # # # # # # # # # # # # # #### # # #### #### # # ###### # # #### # # # # # # ``````¶0````1¶1_``````````````````````````````````````` # ```````¶¶¶0_`_¶¶¶0011100¶¶¶¶¶¶¶001_```````````````````` # ````````¶¶¶¶¶00¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶0_```````````````` # `````1_``¶¶00¶0000000000000000000000¶¶¶¶0_````````````` # `````_¶¶_`0¶000000000000000000000000000¶¶¶¶¶1`````````` # ```````¶¶¶00¶00000000000000000000000000000¶¶¶_````````` # ````````_¶¶00000000000000000000¶¶00000000000¶¶````````` # `````_0011¶¶¶¶¶000000000000¶¶00¶¶0¶¶00000000¶¶_```````` # ```````_¶¶¶¶¶¶¶00000000000¶¶¶¶0¶¶¶¶¶00000000¶¶1```````` # ``````````1¶¶¶¶¶000000¶¶0¶¶¶¶¶¶¶¶¶¶¶¶0000000¶¶¶```````` # ```````````¶¶¶0¶000¶00¶0¶¶`_____`__1¶0¶¶00¶00¶¶```````` # ```````````¶¶¶¶¶00¶00¶10¶0``_1111_`_¶¶0000¶0¶¶¶```````` # ``````````1¶¶¶¶¶00¶0¶¶_¶¶1`_¶_1_0_`1¶¶_0¶0¶¶0¶¶```````` # ````````1¶¶¶¶¶¶¶0¶¶0¶0_0¶``100111``_¶1_0¶0¶¶_1¶```````` # ```````1¶¶¶¶00¶¶¶¶¶¶¶010¶``1111111_0¶11¶¶¶¶¶_10```````` # ```````0¶¶¶¶__10¶¶¶¶¶100¶¶¶0111110¶¶¶1__¶¶¶¶`__```````` # ```````¶¶¶¶0`__0¶¶0¶¶_¶¶¶_11````_0¶¶0`_1¶¶¶¶``````````` # ```````¶¶¶00`__0¶¶_00`_0_``````````1_``¶0¶¶_``````````` # ``````1¶1``¶¶``1¶¶_11``````````````````¶`¶¶```````````` # ``````1_``¶0_¶1`0¶_`_``````````_``````1_`¶1```````````` # ``````````_`1¶00¶¶_````_````__`1`````__`_¶````````````` # ````````````¶1`0¶¶_`````````_11_`````_``_`````````````` # `````````¶¶¶¶000¶¶_1```````_____```_1`````````````````` # `````````¶¶¶¶¶¶¶¶¶¶¶¶0_``````_````_1111__`````````````` # `````````¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶01_`````_11____1111_``````````` # `````````¶¶0¶0¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶1101_______11¶_``````````` # ``````_¶¶¶0000000¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶0¶0¶¶¶1```````````` # `````0¶¶0000000¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶1````````````` # ````0¶0000000¶¶0_````_011_10¶110¶01_1¶¶¶0````_100¶001_` # ```1¶0000000¶0_``__`````````_`````````0¶_``_00¶¶010¶001 # ```¶¶00000¶¶1``_01``_11____``1_``_`````¶¶0100¶1```_00¶1 # ``1¶¶00000¶_``_¶_`_101_``_`__````__````_0000001100¶¶¶0` # ``¶¶¶0000¶1_`_¶``__0_``````_1````_1_````1¶¶¶0¶¶¶¶¶¶0``` # `_¶¶¶¶00¶0___01_10¶_``__````1`````11___`1¶¶¶01_```````` # `1¶¶¶¶¶0¶0`__01¶¶¶0````1_```11``___1_1__11¶000````````` # `1¶¶¶¶¶¶¶1_1_01__`01```_1```_1__1_11___1_``00¶1```````` # ``¶¶¶¶¶¶¶0`__10__000````1____1____1___1_```10¶0_``````` # ``0¶¶¶¶¶¶¶1___0000000```11___1__`_0111_```000¶01``````` # ```¶¶¶00000¶¶¶¶¶¶¶¶¶01___1___00_1¶¶¶`_``1¶¶10¶¶0``````` # ```1010000¶000¶¶0100_11__1011000¶¶0¶1_10¶¶¶_0¶¶00`````` # 10¶000000000¶0________0¶000000¶¶0000¶¶¶¶000_0¶0¶00````` # ¶¶¶¶¶¶0000¶¶¶¶_`___`_0¶¶¶¶¶¶¶00000000000000_0¶00¶01```` # ¶¶¶¶¶0¶¶¶¶¶¶¶¶¶_``_1¶¶¶00000000000000000000_0¶000¶01``` # 1__```1¶¶¶¶¶¶¶¶¶00¶¶¶¶00000000000000000000¶_0¶0000¶0_`` # ```````¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶00000000000000000000010¶00000¶¶_` # ```````0¶¶¶¶¶¶¶¶¶¶¶¶¶¶00000000000000000000¶10¶¶0¶¶¶¶¶0` # ````````¶¶¶¶¶¶¶¶¶¶0¶¶¶00000000000000000000010¶¶¶0011``` # ````````1¶¶¶¶¶¶¶¶¶¶0¶¶¶0000000000000000000¶100__1_````` # `````````¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶000000000000000000¶11``_1`````` # `````````1¶¶¶¶¶¶¶¶¶¶¶0¶¶¶00000000000000000¶11___1_````` # ``````````¶¶¶¶¶¶0¶0¶¶¶¶¶¶¶0000000000000000¶11__``1_```` # ``````````¶¶¶¶¶¶¶0¶¶¶0¶¶¶¶¶000000000000000¶1__````__``` # ``````````¶¶¶¶¶¶¶¶0¶¶¶¶¶¶¶¶¶0000000000000000__`````11`` # `````````_¶¶¶¶¶¶¶¶¶000¶¶¶¶¶¶¶¶000000000000011_``_1¶¶¶0` # `````````_¶¶¶¶¶¶0¶¶000000¶¶¶¶¶¶¶000000000000100¶¶¶¶0_`_ # `````````1¶¶¶¶¶0¶¶¶000000000¶¶¶¶¶¶000000000¶00¶¶01````` # `````````¶¶¶¶¶0¶0¶¶¶0000000000000¶0¶00000000011_``````_ # ````````1¶¶0¶¶¶0¶¶¶¶¶¶¶000000000000000000000¶11___11111 # ````````¶¶¶¶0¶¶¶¶¶00¶¶¶¶¶¶000000000000000000¶011111111_ # ```````_¶¶¶¶¶¶¶¶¶0000000¶0¶00000000000000000¶01_1111111 # ```````0¶¶¶¶¶¶¶¶¶000000000000000000000000000¶01___````` # ```````¶¶¶¶¶¶0¶¶¶000000000000000000000000000¶01___1```` # ``````_¶¶¶¶¶¶¶¶¶00000000000000000000000000000011_111``` # ``````0¶¶0¶¶¶0¶¶0000000000000000000000000000¶01`1_11_`` # ``````¶¶¶¶¶¶0¶¶¶0000000000000000000000000000001`_0_11_` # ``````¶¶¶¶¶¶¶¶¶00000000000000000000000000000¶01``_0_11` # ``````¶¶¶¶0¶¶¶¶00000000000000000000000000000001```_1_11 ```
instruction
0
76,085
10
152,170
No
output
1
76,085
10
152,171
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80. Submitted Solution: ``` import sys import math input=sys.stdin.readline t=int(input()) for w in range(t): l,r=(int(i) for i in input().split()) if(l==1 and r==2): print("NO") else: if(l>=math.ceil(r/2)): print("YES") else: print("NO") ```
instruction
0
76,086
10
152,172
No
output
1
76,086
10
152,173
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You got a job as a marketer in a pet shop, and your current task is to boost sales of cat food. One of the strategies is to sell cans of food in packs with discounts. Suppose you decided to sell packs with a cans in a pack with a discount and some customer wants to buy x cans of cat food. Then he follows a greedy strategy: * he buys \left⌊ x/a \right⌋ packs with a discount; * then he wants to buy the remaining (x mod a) cans one by one. \left⌊ x/a \right⌋ is x divided by a rounded down, x mod a is the remainer of x divided by a. But customers are greedy in general, so if the customer wants to buy (x mod a) cans one by one and it happens that (x mod a) ≥ a/2 he decides to buy the whole pack of a cans (instead of buying (x mod a) cans). It makes you, as a marketer, happy since the customer bought more than he wanted initially. You know that each of the customers that come to your shop can buy any number of cans from l to r inclusive. Can you choose such size of pack a that each customer buys more cans than they wanted initially? Input The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. The first and only line of each test case contains two integers l and r (1 ≤ l ≤ r ≤ 10^9) — the range of the number of cans customers can buy. Output For each test case, print YES if you can choose such size of pack a that each customer buys more cans than they wanted initially. Otherwise, print NO. You can print each character in any case. Example Input 3 3 4 1 2 120 150 Output YES NO YES Note In the first test case, you can take, for example, a = 5 as the size of the pack. Then if a customer wants to buy 3 cans, he'll buy 5 instead (3 mod 5 = 3, 5/2 = 2.5). The one who wants 4 cans will also buy 5 cans. In the second test case, there is no way to choose a. In the third test case, you can take, for example, a = 80. Submitted Solution: ``` time = int(input()) for i in range(time): left, right = map(int, input().split()) if (left % (right+1)) > right+1/2: print("YES") else: print("NO") ```
instruction
0
76,087
10
152,174
No
output
1
76,087
10
152,175
Provide a correct Python 3 solution for this coding contest problem. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes
instruction
0
76,543
10
153,086
"Correct Solution: ``` def main(): print('YNeos'[int(input()) % 500 > int(input())::2]) main() ```
output
1
76,543
10
153,087
Provide a correct Python 3 solution for this coding contest problem. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes
instruction
0
76,544
10
153,088
"Correct Solution: ``` n=int(input()) a=int(input()) print(['No','Yes'][n-(n//500)/(1/500)-a<=0]) ```
output
1
76,544
10
153,089
Provide a correct Python 3 solution for this coding contest problem. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes
instruction
0
76,545
10
153,090
"Correct Solution: ``` N = int(input()) A = int(input()) print("Yes" if (A >= N % 500) else "No") ```
output
1
76,545
10
153,091
Provide a correct Python 3 solution for this coding contest problem. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes
instruction
0
76,546
10
153,092
"Correct Solution: ``` n=int(input()) a=int(input()) print(("No","Yes")[n%500<=a]) ```
output
1
76,546
10
153,093
Provide a correct Python 3 solution for this coding contest problem. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes
instruction
0
76,547
10
153,094
"Correct Solution: ``` n = int(input()) a = int(input()) print("Yes" if n%500 <= a else "No") ```
output
1
76,547
10
153,095
Provide a correct Python 3 solution for this coding contest problem. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes
instruction
0
76,548
10
153,096
"Correct Solution: ``` n = int(input()) a = int(input()) print('Yes' if n %500 <= a else 'No') ```
output
1
76,548
10
153,097
Provide a correct Python 3 solution for this coding contest problem. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes
instruction
0
76,549
10
153,098
"Correct Solution: ``` n=int(input()) print("No" if n%500>int(input()) else "Yes") ```
output
1
76,549
10
153,099
Provide a correct Python 3 solution for this coding contest problem. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes
instruction
0
76,550
10
153,100
"Correct Solution: ``` N = int(input()) % 500 A = int(input()) print('Yes' if A >= N else 'No') ```
output
1
76,550
10
153,101
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes Submitted Solution: ``` N=int(input()) A=int(input()) if N%500>A: print("No") else: print("Yes") ```
instruction
0
76,551
10
153,102
Yes
output
1
76,551
10
153,103
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes Submitted Solution: ``` N = int(input()) A = int(input()) print(["Yes", "No"][N % 500 > A]) ```
instruction
0
76,552
10
153,104
Yes
output
1
76,552
10
153,105
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes Submitted Solution: ``` n=int(input()) a=int(input()) print('Yes' if n%500<=a else 'No'); ```
instruction
0
76,553
10
153,106
Yes
output
1
76,553
10
153,107
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes Submitted Solution: ``` n, a = (int(input()) for _ in range(2)) print('No' if n%500 >a else 'Yes') ```
instruction
0
76,554
10
153,108
Yes
output
1
76,554
10
153,109
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes Submitted Solution: ``` c1 = list(map(int, input().split())) c2 = list(map(int, input().split())) c3 = list(map(int, input().split())) c = c1 + c2 + c3 if sum(c) % 3 == 0 and c[0] + c[4] + c[8] == c[1] + c[3] + c[8]: print("Yes") else: print("No") ```
instruction
0
76,555
10
153,110
No
output
1
76,555
10
153,111
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes Submitted Solution: ``` n,a=map(int,input().split()) b=n%500 if a>=b: print("Yes") else: print("No") ```
instruction
0
76,556
10
153,112
No
output
1
76,556
10
153,113
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes Submitted Solution: ``` n=int(input()) a=int(input()) n=n-a if n//500==0: print("YES") else : print("NO") ```
instruction
0
76,557
10
153,114
No
output
1
76,557
10
153,115
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. E869120 has A 1-yen coins and infinitely many 500-yen coins. Determine if he can pay exactly N yen using only these coins. Constraints * N is an integer between 1 and 10000 (inclusive). * A is an integer between 0 and 1000 (inclusive). Input Input is given from Standard Input in the following format: N A Output If E869120 can pay exactly N yen using only his 1-yen and 500-yen coins, print `Yes`; otherwise, print `No`. Examples Input 2018 218 Output Yes Input 2763 0 Output No Input 37 514 Output Yes Submitted Solution: ``` N = int(input()) A = int(input()) tmp = N // 500 for a in range(1, A+1): total = a*1 + tmp*500 if total == N: print('YES') exit() print('NO') ```
instruction
0
76,558
10
153,116
No
output
1
76,558
10
153,117
Provide tags and a correct Python 3 solution for this coding contest problem. Tenten runs a weapon shop for ninjas. Today she is willing to sell n shurikens which cost 1, 2, ..., n ryo (local currency). During a day, Tenten will place the shurikens onto the showcase, which is empty at the beginning of the day. Her job is fairly simple: sometimes Tenten places another shuriken (from the available shurikens) on the showcase, and sometimes a ninja comes in and buys a shuriken from the showcase. Since ninjas are thrifty, they always buy the cheapest shuriken from the showcase. Tenten keeps a record for all events, and she ends up with a list of the following types of records: * + means that she placed another shuriken on the showcase; * - x means that the shuriken of price x was bought. Today was a lucky day, and all shurikens were bought. Now Tenten wonders if her list is consistent, and what could be a possible order of placing the shurikens on the showcase. Help her to find this out! Input The first line contains the only integer n (1≤ n≤ 10^5) standing for the number of shurikens. The following 2n lines describe the events in the format described above. It's guaranteed that there are exactly n events of the first type, and each price from 1 to n occurs exactly once in the events of the second type. Output If the list is consistent, print "YES". Otherwise (that is, if the list is contradictory and there is no valid order of shurikens placement), print "NO". In the first case the second line must contain n space-separated integers denoting the prices of shurikens in order they were placed. If there are multiple answers, print any. Examples Input 4 + + - 2 + - 3 + - 1 - 4 Output YES 4 2 3 1 Input 1 - 1 + Output NO Input 3 + + + - 2 - 1 - 3 Output NO Note In the first example Tenten first placed shurikens with prices 4 and 2. After this a customer came in and bought the cheapest shuriken which costed 2. Next, Tenten added a shuriken with price 3 on the showcase to the already placed 4-ryo. Then a new customer bought this 3-ryo shuriken. After this she added a 1-ryo shuriken. Finally, the last two customers bought shurikens 1 and 4, respectively. Note that the order [2, 4, 3, 1] is also valid. In the second example the first customer bought a shuriken before anything was placed, which is clearly impossible. In the third example Tenten put all her shurikens onto the showcase, after which a customer came in and bought a shuriken with price 2. This is impossible since the shuriken was not the cheapest, we know that the 1-ryo shuriken was also there.
instruction
0
76,904
10
153,808
Tags: data structures, greedy, implementation Correct Solution: ``` import sys readline = sys.stdin.readline from heapq import heappop as hpp, heappush as hp N = int(readline()) ev = [None]*(2*N) pl = [] ans = 'YES' for i in range(2*N): s = readline().strip() if s[0] == '+': pl.append(i) else: if not pl: ans = 'NO' else: b = int(s.split()[1]) ev[i] = b ev[pl.pop()] = -b if ans == 'NO': print(ans) else: Q = [] for i in ev: if i < 0: i = -i hp(Q, i) else: if i != hpp(Q): ans = 'NO' break print(ans) if ans == 'YES': print(*[-i for i in ev if i < 0]) ```
output
1
76,904
10
153,809
Provide tags and a correct Python 3 solution for this coding contest problem. Tenten runs a weapon shop for ninjas. Today she is willing to sell n shurikens which cost 1, 2, ..., n ryo (local currency). During a day, Tenten will place the shurikens onto the showcase, which is empty at the beginning of the day. Her job is fairly simple: sometimes Tenten places another shuriken (from the available shurikens) on the showcase, and sometimes a ninja comes in and buys a shuriken from the showcase. Since ninjas are thrifty, they always buy the cheapest shuriken from the showcase. Tenten keeps a record for all events, and she ends up with a list of the following types of records: * + means that she placed another shuriken on the showcase; * - x means that the shuriken of price x was bought. Today was a lucky day, and all shurikens were bought. Now Tenten wonders if her list is consistent, and what could be a possible order of placing the shurikens on the showcase. Help her to find this out! Input The first line contains the only integer n (1≤ n≤ 10^5) standing for the number of shurikens. The following 2n lines describe the events in the format described above. It's guaranteed that there are exactly n events of the first type, and each price from 1 to n occurs exactly once in the events of the second type. Output If the list is consistent, print "YES". Otherwise (that is, if the list is contradictory and there is no valid order of shurikens placement), print "NO". In the first case the second line must contain n space-separated integers denoting the prices of shurikens in order they were placed. If there are multiple answers, print any. Examples Input 4 + + - 2 + - 3 + - 1 - 4 Output YES 4 2 3 1 Input 1 - 1 + Output NO Input 3 + + + - 2 - 1 - 3 Output NO Note In the first example Tenten first placed shurikens with prices 4 and 2. After this a customer came in and bought the cheapest shuriken which costed 2. Next, Tenten added a shuriken with price 3 on the showcase to the already placed 4-ryo. Then a new customer bought this 3-ryo shuriken. After this she added a 1-ryo shuriken. Finally, the last two customers bought shurikens 1 and 4, respectively. Note that the order [2, 4, 3, 1] is also valid. In the second example the first customer bought a shuriken before anything was placed, which is clearly impossible. In the third example Tenten put all her shurikens onto the showcase, after which a customer came in and bought a shuriken with price 2. This is impossible since the shuriken was not the cheapest, we know that the 1-ryo shuriken was also there.
instruction
0
76,905
10
153,810
Tags: data structures, greedy, implementation Correct Solution: ``` import sys, io, os BUFSIZE = 8192 class FastIO(io.IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = io.BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(io.IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") def print(*args, **kwargs): """Prints the values to a stream, or to sys.stdout by default.""" sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout) at_start = True for x in args: if not at_start: file.write(sep) file.write(str(x)) at_start = False file.write(kwargs.pop("end", "\n")) if kwargs.pop("flush", False): file.flush() sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") #endregion from heapq import heappush, heappop n = int(input()) ops = [input() for _ in range(n + n)] queue = [] ans = [] for i in range(2*n - 1, -1, -1): if ops[i][0] == '+': if not queue: print('NO') exit(0) ans.append(heappop(queue)) else: val = int(ops[i].split()[1]) if queue and val > queue[0]: print('NO') exit(0) heappush(queue, val) print('YES') print(' '.join(str(x) for x in reversed(ans))) ```
output
1
76,905
10
153,811
Provide tags and a correct Python 3 solution for this coding contest problem. Tenten runs a weapon shop for ninjas. Today she is willing to sell n shurikens which cost 1, 2, ..., n ryo (local currency). During a day, Tenten will place the shurikens onto the showcase, which is empty at the beginning of the day. Her job is fairly simple: sometimes Tenten places another shuriken (from the available shurikens) on the showcase, and sometimes a ninja comes in and buys a shuriken from the showcase. Since ninjas are thrifty, they always buy the cheapest shuriken from the showcase. Tenten keeps a record for all events, and she ends up with a list of the following types of records: * + means that she placed another shuriken on the showcase; * - x means that the shuriken of price x was bought. Today was a lucky day, and all shurikens were bought. Now Tenten wonders if her list is consistent, and what could be a possible order of placing the shurikens on the showcase. Help her to find this out! Input The first line contains the only integer n (1≤ n≤ 10^5) standing for the number of shurikens. The following 2n lines describe the events in the format described above. It's guaranteed that there are exactly n events of the first type, and each price from 1 to n occurs exactly once in the events of the second type. Output If the list is consistent, print "YES". Otherwise (that is, if the list is contradictory and there is no valid order of shurikens placement), print "NO". In the first case the second line must contain n space-separated integers denoting the prices of shurikens in order they were placed. If there are multiple answers, print any. Examples Input 4 + + - 2 + - 3 + - 1 - 4 Output YES 4 2 3 1 Input 1 - 1 + Output NO Input 3 + + + - 2 - 1 - 3 Output NO Note In the first example Tenten first placed shurikens with prices 4 and 2. After this a customer came in and bought the cheapest shuriken which costed 2. Next, Tenten added a shuriken with price 3 on the showcase to the already placed 4-ryo. Then a new customer bought this 3-ryo shuriken. After this she added a 1-ryo shuriken. Finally, the last two customers bought shurikens 1 and 4, respectively. Note that the order [2, 4, 3, 1] is also valid. In the second example the first customer bought a shuriken before anything was placed, which is clearly impossible. In the third example Tenten put all her shurikens onto the showcase, after which a customer came in and bought a shuriken with price 2. This is impossible since the shuriken was not the cheapest, we know that the 1-ryo shuriken was also there.
instruction
0
76,906
10
153,812
Tags: data structures, greedy, implementation Correct Solution: ``` mod = 1000000007 eps = 10**-9 def main(): import sys from heapq import heappush, heappop input = sys.stdin.readline N = int(input()) ev = [] for _ in range(2*N): line = list(input().split()) ev.append(line) ev.reverse() pq = [] ans = [] for line in ev: if len(line) == 1: if not pq: print("NO") exit() ans.append(heappop(pq)) else: x = int(line[1]) if pq: if x > pq[0]: print("NO") exit() else: heappush(pq, x) else: heappush(pq, x) ans.reverse() print("YES") print(*ans) if __name__ == '__main__': main() ```
output
1
76,906
10
153,813