message stringlengths 2 20.2k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 757 108k | cluster float64 4 4 | __index_level_0__ int64 1.51k 217k |
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Provide a correct Python 3 solution for this coding contest problem.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00 | instruction | 0 | 57,899 | 4 | 115,798 |
"Correct Solution:
```
def change(time):
if time >= 10:
return str(time)
else:
return "0" + str(time)
def print_times(ans):
sec = ans % 60
ans -= sec
minu = ans % 3600
ans -= minu
minu //= 60
hour = ans//3600
print(":".join(map(change,(hour,minu,sec))))
while True:
t,h,s = map(int,input().split())
if (t,h,s) == (-1,-1,-1):
break
ans = 7200 - (3600 * t + 60 * h + s)
ans2 = ans * 3
print_times(ans)
print_times(ans2)
``` | output | 1 | 57,899 | 4 | 115,799 |
Provide a correct Python 3 solution for this coding contest problem.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00 | instruction | 0 | 57,900 | 4 | 115,800 |
"Correct Solution:
```
while 1:
try:
h,m,s=map(int,input().split())
if h+m+s==-3:break
last=7200-h*3600-m*60-s
print(f'{last//3600:0>2}:{(last%3600)//60:0>2}:{last%60:0>2}')
last*=3
print(f'{last//3600:0>2}:{(last%3600)//60:0>2}:{last%60:0>2}')
except:break
``` | output | 1 | 57,900 | 4 | 115,801 |
Provide a correct Python 3 solution for this coding contest problem.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00 | instruction | 0 | 57,901 | 4 | 115,802 |
"Correct Solution:
```
p=lambda x:print(f'{x//3600:02}:{x//60%60:02}:{x%60:02}')
while 1:
h,m,s=map(int,input().split())
if h<0:break
d=7200-h*3600-m*60-s
p(d);p(d*3)
``` | output | 1 | 57,901 | 4 | 115,803 |
Provide a correct Python 3 solution for this coding contest problem.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00 | instruction | 0 | 57,902 | 4 | 115,804 |
"Correct Solution:
```
import sys
f = sys.stdin
from datetime import timedelta
def formatHHMMSS(delta):
return '{:02d}:{:02d}:{:02d}'.format(delta.seconds // 3600, delta.seconds % 3600 // 60, delta.seconds % 60)
while True:
leave_time = timedelta(hours=2)
h, m, s = map(int, f.readline().split())
if h == m == s == -1:
break
record_time = timedelta(seconds=s, minutes=m, hours=h)
leave_time -= record_time
print(formatHHMMSS(leave_time))
print(formatHHMMSS(leave_time * 3))
``` | output | 1 | 57,902 | 4 | 115,805 |
Provide a correct Python 3 solution for this coding contest problem.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00 | instruction | 0 | 57,903 | 4 | 115,806 |
"Correct Solution:
```
def zan(total, flag):
rest = 7200 - total if flag else (7200 - total) * 3
t, rest = divmod(rest, 3600)
h, s = divmod(rest, 60)
print("{0:02d}:{1:02d}:{2:02d}".format(t, h, s))
while True:
T, H, S = map(int, input().split())
if T == -1:
break
total = T * 3600 + H * 60 + S
for i in [1, 0]:
zan(total, i)
``` | output | 1 | 57,903 | 4 | 115,807 |
Provide a correct Python 3 solution for this coding contest problem.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00 | instruction | 0 | 57,904 | 4 | 115,808 |
"Correct Solution:
```
def f(t):
print("{:02d}:{:02d}:{:02d}".format(t//3600,(t%3600)//60,(t%3600)%60))
if __name__=="__main__":
while 1:
h,m,s=map(int,input().split())
if h<0:break
t=7200-h*3600-m*60-s
f(t)
f(t*3)
``` | output | 1 | 57,904 | 4 | 115,809 |
Provide a correct Python 3 solution for this coding contest problem.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00 | instruction | 0 | 57,905 | 4 | 115,810 |
"Correct Solution:
```
# Aizu Problem 0074: Videotape
#
import sys, math, os
# read input:
PYDEV = os.environ.get('PYDEV')
if PYDEV=="True":
sys.stdin = open("sample-input.txt", "rt")
while True:
t, m, s = [int(_) for _ in input().split()]
if t == m == s == -1:
break
secs_left = 7200 - 3600 * t - 60 * m - s
for secs in [secs_left, 3 * secs_left]:
h = secs // 3600
secs %= 3600
m = secs // 60
s = secs % 60
print("%02d:%02d:%02d" % (h, m, s))
``` | output | 1 | 57,905 | 4 | 115,811 |
Provide a correct Python 3 solution for this coding contest problem.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00 | instruction | 0 | 57,906 | 4 | 115,812 |
"Correct Solution:
```
while True:
h,m,s = [int(x) for x in input().split()]
if h < 0 and m < 0 and s < 0:
break
r = 7200 - h * 3600 - m * 60 - s
for m in [ 1, 3]:
tmp = r * m
dh = tmp // 3600
dm = (tmp % 3600) // 60
ds = tmp % 60
print("{:02d}:{:02d}:{:02d}".format(dh,dm,ds))
``` | output | 1 | 57,906 | 4 | 115,813 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00
Submitted Solution:
```
while True:
t, h, s = map(int, input().split())
if t == -1:
break
rest = []
rest.append(7200 - (3600*t + 60*h + s))
rest.append(rest[0]*3)
for r in rest:
t = 0
h = 0
if r >= 3600:
t = r//3600
r -= 3600*t
if r >= 60:
h = r//60
r -= 60*h
print("{0:02d}:{1:02d}:{2:02d}".format(t, h, r))
``` | instruction | 0 | 57,907 | 4 | 115,814 |
Yes | output | 1 | 57,907 | 4 | 115,815 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00
Submitted Solution:
```
# AOJ 0074 Videotape
# Python3 2018.6.14 bal4u
while True:
T, H, S = list(map(int, input().split()))
if T < 0: break
t = 7200 - (3600*T + 60*H + S)
print('{:02d}:{:02d}:{:02d}'.format(t//3600, (t%3600)//60, t%60))
t *= 3
print('{:02d}:{:02d}:{:02d}'.format(t//3600, (t%3600)//60, t%60))
``` | instruction | 0 | 57,908 | 4 | 115,816 |
Yes | output | 1 | 57,908 | 4 | 115,817 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00
Submitted Solution:
```
while True:
t, h, s = map(int, input().split())
if t == -1:
break
ans = 7200-(t*3600+h*60+s)
ans2 = ans*3
print("{:02d}:{:02d}:{:02d}".format(ans//3600, (ans//60)%60, ans%60))
print("{:02d}:{:02d}:{:02d}".format(ans2//3600, (ans2//60)%60, ans2%60))
``` | instruction | 0 | 57,909 | 4 | 115,818 |
Yes | output | 1 | 57,909 | 4 | 115,819 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00
Submitted Solution:
```
# -*- coding: utf-8 -*-
import sys
import os
import math
def second_to_str(second):
T = second // 3600
second -= 3600 * T
H = second // 60
second -= 60 * H
S = second
return "{:02d}:{:02d}:{:02d}".format(T, H, S)
for s in sys.stdin:
T, H, S = map(int, s.split())
if T == H == S == -1:
break
past_second = T * 3600 + H * 60 + S
rest_second = 120 * 60 * 1 - past_second
rest_second_3x = rest_second * 3
print(second_to_str(rest_second))
print(second_to_str(rest_second_3x))
``` | instruction | 0 | 57,910 | 4 | 115,820 |
Yes | output | 1 | 57,910 | 4 | 115,821 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00
Submitted Solution:
```
from datetime import timedelta
while True:
T, H, S = map(int, input().split())
if T == -1: break
seconds = int(timedelta(hours=T, minutes=H, seconds=S).total_seconds())
h, v = divmod(7200-seconds, 3600)
m, v = divmod(v, 60)
s = divmod(v, 60)[0]
ans = []
for v in [h,m,s]:
v = str(v)
if len(v)==1:
ans.append('0'+str(v))
else:
ans.append(str(v))
print(':'.join(ans))
h, v = divmod(7200-seconds//3, 3600)
m, v = divmod(v, 60)
s = divmod(v, 60)[0]
ans = []
for v in [h, m, s]:
v = str(v)
if len(v)==1:
ans.append('0'+str(v))
else:
ans.append(str(v))
print(':'.join(ans))
``` | instruction | 0 | 57,911 | 4 | 115,822 |
No | output | 1 | 57,911 | 4 | 115,823 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00
Submitted Solution:
```
def change(time):
if time >= 10:
return str(time)
else:
return "0" + str(time)
def print_times(ans):
sec = ans % 60
ans -= sec
minu = ans % 3600
ans -= minu
minu //= 60
hour = ans//3600
print(":".join(map(change,(hour,minu,sec))))
while True:
t,h,s = map(int,input().split())
if (t,h,s) == (-1,-1,-1):
break
ans = 7200 - (3600 * t + 60 * h + s)
ans2 = 7200 -(3600 * t + 60 * h + s)//3
print_times(ans)
print_times(ans2)
``` | instruction | 0 | 57,912 | 4 | 115,824 |
No | output | 1 | 57,912 | 4 | 115,825 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00
Submitted Solution:
```
def zan(total, flag):
rest = 7200 - total if flag else 7200 - total // 3
t, rest = divmod(rest, 3600)
h, s = divmod(rest, 60)
print("{0:02d}:{1:02d}:{2:02d}".format(t, h, s))
while True:
T, H, S = map(int, input().split())
if T == -1:
break
total = T * 3600 + H * 60 + S
for i in [1, 0]:
zan(total, i)
``` | instruction | 0 | 57,913 | 4 | 115,826 |
No | output | 1 | 57,913 | 4 | 115,827 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a 120 minute videotape with standard recording. When I set the VCR counter to 00:00:00 with the tape completely rewound and recorded in standard recording mode, I got a certain counter value. Enter this counter value (hours, minutes, seconds), find the length of the remaining tape (recordable time), and create a program that outputs in the format of hours: minutes: seconds.
However, the input must be within 2 hours (120 minutes). The remaining amount of tape is calculated in two ways, standard recording mode and triple recording mode, and outputs two digits each for hours, minutes, and seconds as shown in the output example. If the tens digit is 0, such as "05", add "0".
input
Given multiple datasets. Each dataset is as follows.
T H S
T, H, and S are integers that represent hours, minutes, and seconds, respectively.
Input ends when T, H, and S are all -1. The number of datasets does not exceed 50.
output
For each dataset
On the first line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded as standard, separated by half-width colons.
On the second line, the hours, minutes, and seconds of the recordable time when the rest of the tape is recorded three times are separated by half-width colons.
Please output.
Example
Input
1 30 0
-1 -1 -1
Output
00:30:00
01:30:00
Submitted Solution:
```
while 1:
t,h,s=map(int,input().split())
if t<0:break
d,e=7200,t*3600+h*60+s
a,b=d-e,d-e//3
print(f'{a//3600:02}:{a//60%60:02}:{a%60:02}')
print(f'{b//3600:02}:{b//60%60:02}:{b%60:02}')
``` | instruction | 0 | 57,914 | 4 | 115,828 |
No | output | 1 | 57,914 | 4 | 115,829 |
Provide a correct Python 3 solution for this coding contest problem.
A trick of fate caused Hatsumi and Taku to come to know each other. To keep the encounter in memory, they decided to calculate the difference between their ages. But the difference in ages varies depending on the day it is calculated. While trying again and again, they came to notice that the difference of their ages will hit a maximum value even though the months move on forever.
Given the birthdays for the two, make a program to report the maximum difference between their ages. The age increases by one at the moment the birthday begins. If the birthday coincides with the 29th of February in a leap year, the age increases at the moment the 1st of March arrives in non-leap years.
Input
The input is given in the following format.
y_1 m_1 d_1
y_2 m_2 d_2
The first and second lines provide Hatsumi’s and Taku’s birthdays respectively in year y_i (1 ≤ y_i ≤ 3000), month m_i (1 ≤ m_i ≤ 12), and day d_i (1 ≤ d_i ≤ Dmax) format. Where Dmax is given as follows:
* 28 when February in a non-leap year
* 29 when February in a leap-year
* 30 in April, June, September, and November
* 31 otherwise.
It is a leap year if the year represented as a four-digit number is divisible by 4. Note, however, that it is a non-leap year if divisible by 100, and a leap year if divisible by 400.
Output
Output the maximum difference between their ages.
Examples
Input
1999 9 9
2001 11 3
Output
3
Input
2008 2 29
2015 3 1
Output
8 | instruction | 0 | 57,929 | 4 | 115,858 |
"Correct Solution:
```
y1,m1,d1 = map(int, input().split())
y2,m2,d2 = map(int, input().split())
if y1 > y2 or (y1 == y2 and (m1 > m2 or ( m1 == m2 and d1 > d2 ))):
y1, y2 = y2, y1
m1, m2 = m2, m1
d1, d2 = d2, d1
if m1 < m2 or (m1 == m2 and d1 < d2): print(y2 - y1 + 1)
else: print(y2 - y1)
``` | output | 1 | 57,929 | 4 | 115,859 |
Provide a correct Python 3 solution for this coding contest problem.
A trick of fate caused Hatsumi and Taku to come to know each other. To keep the encounter in memory, they decided to calculate the difference between their ages. But the difference in ages varies depending on the day it is calculated. While trying again and again, they came to notice that the difference of their ages will hit a maximum value even though the months move on forever.
Given the birthdays for the two, make a program to report the maximum difference between their ages. The age increases by one at the moment the birthday begins. If the birthday coincides with the 29th of February in a leap year, the age increases at the moment the 1st of March arrives in non-leap years.
Input
The input is given in the following format.
y_1 m_1 d_1
y_2 m_2 d_2
The first and second lines provide Hatsumi’s and Taku’s birthdays respectively in year y_i (1 ≤ y_i ≤ 3000), month m_i (1 ≤ m_i ≤ 12), and day d_i (1 ≤ d_i ≤ Dmax) format. Where Dmax is given as follows:
* 28 when February in a non-leap year
* 29 when February in a leap-year
* 30 in April, June, September, and November
* 31 otherwise.
It is a leap year if the year represented as a four-digit number is divisible by 4. Note, however, that it is a non-leap year if divisible by 100, and a leap year if divisible by 400.
Output
Output the maximum difference between their ages.
Examples
Input
1999 9 9
2001 11 3
Output
3
Input
2008 2 29
2015 3 1
Output
8 | instruction | 0 | 57,930 | 4 | 115,860 |
"Correct Solution:
```
a = sorted([tuple(map(int,input().split())) for _ in [0,0]])
print(a[1][0] - a[0][0] + (1 if a[1][1] > a[0][1] or (a[1][1] == a[0][1] and a[1][2] > a[0][2]) else 0))
``` | output | 1 | 57,930 | 4 | 115,861 |
Provide a correct Python 3 solution for this coding contest problem.
A trick of fate caused Hatsumi and Taku to come to know each other. To keep the encounter in memory, they decided to calculate the difference between their ages. But the difference in ages varies depending on the day it is calculated. While trying again and again, they came to notice that the difference of their ages will hit a maximum value even though the months move on forever.
Given the birthdays for the two, make a program to report the maximum difference between their ages. The age increases by one at the moment the birthday begins. If the birthday coincides with the 29th of February in a leap year, the age increases at the moment the 1st of March arrives in non-leap years.
Input
The input is given in the following format.
y_1 m_1 d_1
y_2 m_2 d_2
The first and second lines provide Hatsumi’s and Taku’s birthdays respectively in year y_i (1 ≤ y_i ≤ 3000), month m_i (1 ≤ m_i ≤ 12), and day d_i (1 ≤ d_i ≤ Dmax) format. Where Dmax is given as follows:
* 28 when February in a non-leap year
* 29 when February in a leap-year
* 30 in April, June, September, and November
* 31 otherwise.
It is a leap year if the year represented as a four-digit number is divisible by 4. Note, however, that it is a non-leap year if divisible by 100, and a leap year if divisible by 400.
Output
Output the maximum difference between their ages.
Examples
Input
1999 9 9
2001 11 3
Output
3
Input
2008 2 29
2015 3 1
Output
8 | instruction | 0 | 57,931 | 4 | 115,862 |
"Correct Solution:
```
a,b,c = map(int,input().split())
d,e,f = map(int,input().split())
if b == e and c == f:
print(abs(a-d))
exit()
if a > d:
num = 100 * b + c
nu = 100 * e + f
elif a < d:
num = 100 * e + f
nu = 100 * b + c
else:
print(1)
exit()
if num > nu:
print(abs(a-d)+1)
else:
print(abs(a-d))
``` | output | 1 | 57,931 | 4 | 115,863 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1 | instruction | 0 | 58,880 | 4 | 117,760 |
Tags: math, number theory
Correct Solution:
```
from math import gcd
n,m=map(int,input().split())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
G=A[1]-A[0]
for i in range(1,n):
G=gcd(G,A[i]-A[i-1])
for i in range(m):
if(G%B[i]==0):
print("YES")
print(A[0],i+1)
exit()
print("NO")
``` | output | 1 | 58,880 | 4 | 117,761 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1 | instruction | 0 | 58,881 | 4 | 117,762 |
Tags: math, number theory
Correct Solution:
```
from math import gcd
def go():
n, m = map(int, input().split(' '))
x = [int(i) for i in input().split(' ')]
p = [int(i) for i in input().split(' ')]
diffs = set()
start = x[0]
for i in range(1, n):
diffs.add(x[i] - x[i - 1])
d = list(sorted(diffs))
g = d[0]
for i in range(1, len(d)):
g = gcd(g, d[i])
for i in range(m):
if g % p[i] == 0:
return "YES\n{} {}".format(start, i + 1)
return "NO"
print(go())
``` | output | 1 | 58,881 | 4 | 117,763 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1 | instruction | 0 | 58,882 | 4 | 117,764 |
Tags: math, number theory
Correct Solution:
```
import math
n,m = map(int, input().split())
alarms = list(map(int, input().split()))
diff = list(map(int, input().split()))
prev = alarms[0]
currGcd = alarms[1] - alarms[0]
for i in alarms[1:]:
currGcd = math.gcd(currGcd,i - prev)
prev = i
# print(currGcd)
flag = False
for i in range(m):
if currGcd % diff[i] == 0:
flag = True
print("YES")
print(alarms[0],i+1)
break
if not flag:
print("NO")
``` | output | 1 | 58,882 | 4 | 117,765 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1 | instruction | 0 | 58,883 | 4 | 117,766 |
Tags: math, number theory
Correct Solution:
```
from math import gcd
(n, m), x, p = [int(i) for i in input().split()], [int(i) for i in input().split()], [int(i) for i in input().split()]
gc = x[1] - x[0]
for i in range(len(x) - 1):
gc = gcd(gc, abs(x[i] - x[i + 1]))
for i in range(len(p)):
if gc % p[i] == 0:
print("YES\n", x[0], ' ', i + 1, sep='')
exit()
print("NO")
``` | output | 1 | 58,883 | 4 | 117,767 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1 | instruction | 0 | 58,884 | 4 | 117,768 |
Tags: math, number theory
Correct Solution:
```
ll=lambda:map(int,input().split())
t=lambda:int(input())
ss=lambda:input()
#from math import log10 ,log2,ceil,factorial as f,gcd
#from itertools import combinations_with_replacement as cs
#from functools import reduce
from math import gcd
'''
for _ in range(t()):
n=t()
'''
n,m=ll()
a=list(ll())
p=list(ll())
l=[]
st=min(a)
g=a[1]-a[0]
#st+n*d==a[i]
for i in range(2,n):
g=gcd(g,a[i]-a[i-1])
for i in range(m):
if g%p[i]==0:
print("YES")
print(st,i+1)
break
else:
print("NO")
``` | output | 1 | 58,884 | 4 | 117,769 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1 | instruction | 0 | 58,885 | 4 | 117,770 |
Tags: math, number theory
Correct Solution:
```
def euclidesMCD(a, b): # Algortimo de euclides para obtener el mcd entre a y b, O(log n)
while(b): # Mientras el segundo número o el resto no sea 0
a, b = b, a % b # Asigna b a a, y a b el resto de la división de a entre b
return a # Retorna el máximo común divisor
inp = input() # Con los primeros dos números, n y m, no realizaremos ninguna operación
x_i = [int(i) for i in input().split()] # Guardamos en x_i una lista de tamaño n con {x1, x2, ..., xn} convertidos a enteros, O(n)
p_j = [int(j) for j in input().split()] # Guardamos en p_j una lista de tamaño m con {p1, p2, ..., pm} convertidos a enteros, O(m)
mcd = 0 # Asignando 0 como máximo común divisor inicial
y = x_i[0] # Asignándole a y (inicio de las alarmas) el valor de x1
for x in x_i[1:]: # Recorremos todos los xi, excepto x1, buscando el mcd de todos ellos, O(n)
mcd = euclidesMCD(mcd, x - y) # En cada llamado se reasigna el valor de mcd calculándolo con el algoritmo de euclides, O(log n)
# por tanto la complejidad del algoritmo es de O(nlog n)
def solution(): # Función que realiza el recorrido por la lista p_j buscando un p que divida al mcd
for p in p_j: # O(m)
if mcd % p == 0: # Si el resto de dividir el mcd con un p es 0, entonces p|mcd
print('YES\n',y, p_j.index(p)+1) # De ser así se imprime YES, y en una segunda línea las configuraciones asumidas
return
print('NO') # De no encontrarse ninguna solución, se imprime NO
solution() # Llamado al método que brinda la solución del problema
``` | output | 1 | 58,885 | 4 | 117,771 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1 | instruction | 0 | 58,886 | 4 | 117,772 |
Tags: math, number theory
Correct Solution:
```
from math import gcd
n,m = map(int,input().split())
x = list(map(int,input().split()))
p = list(map(int,input().split()))
g = x[1] - x[0]
for i in range(2,n):
g = gcd(g,x[i] - x[i-1])
if g == 1:
break
for j in range(m):
if g%p[j] == 0:
print("YES")
print(x[0],j+1)
break
else:
print("NO")
``` | output | 1 | 58,886 | 4 | 117,773 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1 | instruction | 0 | 58,887 | 4 | 117,774 |
Tags: math, number theory
Correct Solution:
```
from sys import stdin,stdout
from bisect import bisect_right as br
from bisect import bisect_left as bl
from bisect import insort_left as il
from math import gcd
yes=False
n,m=map(int,stdin.readline().split())
t=[int(i) for i in stdin.readline().split()]
diff=[]
ch=[int(i) for i in stdin.readline().split()]
for i in range(0,len(t)-1):
diff+=[t[i+1]-t[i]]
com=diff[0]
for i in diff[1:]:
com=gcd(com,i)
k=1
for i in ch:
if gcd(com,i)==i:
yes=True
break
k+=1
if yes:
stdout.write("YES"+'\n')
stdout.write(str(t[0])+' '+str(k))
else:
stdout.write("NO")
``` | output | 1 | 58,887 | 4 | 117,775 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1
Submitted Solution:
```
import math
n,m = list(map(int,input().split()))
x = list(map(int,input().split()))
p = list(map(int,input().split()))
y = x[0]
hcf = x[1]-x[0]
f = 0
for i in range(2,n):
hcf = math.gcd(hcf,x[i]-x[i-1])
for i in range(m):
if hcf%p[i]==0:
print("YES")
print(y,i+1)
f = 1
break
if f==0:
print("NO")
``` | instruction | 0 | 58,888 | 4 | 117,776 |
Yes | output | 1 | 58,888 | 4 | 117,777 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1
Submitted Solution:
```
n, m = list(map(int, input().split()))
x = list(map(int, input().split()))
p = list(map(int, input().split()))
diffs = []
for i in range(n-1):
diffs.append(x[i+1]-x[i])
def mcd(a,b):
if b > a:
c = a
a = b
b = c
while 1:
r = a % b
if r == 0:
return b
else:
a = b
b = r
def nod_array(arr):
result = arr[0]
for i in range(n-2):
nod = mcd(result,arr[i+1])
if nod == 1:
return 1
else:
result = nod
return result
T = nod_array(diffs)
D = -1
for i in range(m):
if T % p[i] == 0:
D = i+1
break
if D == -1:
print('No')
else:
print('Yes')
print(x[0],D)
``` | instruction | 0 | 58,889 | 4 | 117,778 |
Yes | output | 1 | 58,889 | 4 | 117,779 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1
Submitted Solution:
```
from sys import exit
def gcdl(A):
if len(A) == 0:
return -1
if len(A) == 1:
return A[0]
g = gcd(A[0], A[1])
for a in A[2:]:
g = gcd(a, g)
return g
def gcd(a,b):
if b == 0:
return a
return gcd(b,a%b)
n, m = map(int, input().split())
X = list(map(int, input().split()))
P = list(map(int, input().split()))
X = list(set(X))
y = min(X)
X = [xi - y for xi in X]
X = [xi for xi in X if xi]
g = gcdl(X)
if g == -1:
print('YES')
print(y, 1)
exit()
for i, p in enumerate(P, 1):
if not g % p:
break
else:
print('NO')
exit()
print('YES')
print(y, i)
``` | instruction | 0 | 58,890 | 4 | 117,780 |
Yes | output | 1 | 58,890 | 4 | 117,781 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1
Submitted Solution:
```
"""
## Name of Prob
C. Alarm Clocks Everywhere
## Link
https://codeforces.com/contest/1155/problem/C
## Note
## Input
n m
x_1 ... x_n
p_1 ... p_m
## Output
## Strategy
"""
import math
_DEBUG = True
def solve(n, m, x, p):
delta_values = [x[i + 1] - x[i] for i in range(n - 1)]
delta_gcd = math.gcd(delta_values[1], delta_values[0]) if n >= 3 else delta_values[0]
for i in range(2, n - 1):
delta_gcd = math.gcd(delta_gcd, delta_values[i])
for i in range(m):
if delta_gcd % p[i] == 0:
return min(x), i + 1
return None
# assert solve(3, 5, [3, 12, 18], [2, 6, 5, 3, 3]) == (3, 4)
# assert solve(4, 2, [1, 5, 17, 19], [4, 5]) is None
# assert solve(4, 2, [1, 5, 17, 19], [2, 1]) == (1, 1)
# assert solve(4, 2, [1, 5, 17, 19], [2, 1]) == (1, 1)
n, m = map(int, input().split())
x = list(map(int, input().split()))
p = list(map(int, input().split()))
solution = solve(n, m, x, p)
if not solution:
print('NO')
else:
print('YES')
print(solution[0], solution[1])
``` | instruction | 0 | 58,891 | 4 | 117,782 |
Yes | output | 1 | 58,891 | 4 | 117,783 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1
Submitted Solution:
```
n, m = [int(i) for i in input().split()]
x = [int(i) for i in input().split()]
p = [int(i) for i in input().split()]
ps = sorted(set(p))
dx = [j - i for i, j in zip(x, x[1:])]
for i in ps:
f = True
for j in dx:
if j % i:
f = False
break
if f:
print("YES")
r = p.index(i) + 1
print(x[0], i)
if r == 41582:
print(i)
exit()
print("NO")
``` | instruction | 0 | 58,892 | 4 | 117,784 |
No | output | 1 | 58,892 | 4 | 117,785 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1
Submitted Solution:
```
n,m = [int(x) for x in input().split()]
xs = [int(x) for x in input().split()]
ps = [int(x) for x in input().split()]
r = xs[1] - xs[0]
def check():
for i in range(m):
if r % ps[i] == 0:
for j in range(1,n):
if (xs[j] - xs[j-1]) % ps[i] != 0:
#print(xs[j],xs[j-1],ps[i])
print("NO")
return
print("YES")
print(xs[0],i+1)
return
print("NO")
check()
``` | instruction | 0 | 58,893 | 4 | 117,786 |
No | output | 1 | 58,893 | 4 | 117,787 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1
Submitted Solution:
```
from math import gcd
n,m=map(int,input().split())
arr=list(map(int,input().split()))
arr1=list(map(int,input().split()))
g=0;flag=False
for i in range(1,n):g=gcd(g,arr[i]-arr[i-1])
for i in arr1:
if g%i==0:print("YES");print(arr[0],i);flag=True;break
if not flag:print("NO")
``` | instruction | 0 | 58,894 | 4 | 117,788 |
No | output | 1 | 58,894 | 4 | 117,789 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan is going to sleep now and wants to set his alarm clock. There will be many necessary events tomorrow, the i-th of them will start during the x_i-th minute. Ivan doesn't want to skip any of the events, so he has to set his alarm clock in such a way that it rings during minutes x_1, x_2, ..., x_n, so he will be awake during each of these minutes (note that it does not matter if his alarm clock will ring during any other minute).
Ivan can choose two properties for the alarm clock — the first minute it will ring (let's denote it as y) and the interval between two consecutive signals (let's denote it by p). After the clock is set, it will ring during minutes y, y + p, y + 2p, y + 3p and so on.
Ivan can choose any minute as the first one, but he cannot choose any arbitrary value of p. He has to pick it among the given values p_1, p_2, ..., p_m (his phone does not support any other options for this setting).
So Ivan has to choose the first minute y when the alarm clock should start ringing and the interval between two consecutive signals p_j in such a way that it will ring during all given minutes x_1, x_2, ..., x_n (and it does not matter if his alarm clock will ring in any other minutes).
Your task is to tell the first minute y and the index j such that if Ivan sets his alarm clock with properties y and p_j it will ring during all given minutes x_1, x_2, ..., x_n or say that it is impossible to choose such values of the given properties. If there are multiple answers, you can print any.
Input
The first line of the input contains two integers n and m (2 ≤ n ≤ 3 ⋅ 10^5, 1 ≤ m ≤ 3 ⋅ 10^5) — the number of events and the number of possible settings for the interval between signals.
The second line of the input contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^{18}), where x_i is the minute when i-th event starts. It is guaranteed that all x_i are given in increasing order (i. e. the condition x_1 < x_2 < ... < x_n holds).
The third line of the input contains m integers p_1, p_2, ..., p_m (1 ≤ p_j ≤ 10^{18}), where p_j is the j-th option for the interval between two consecutive signals.
Output
If it's impossible to choose such values y and j so all constraints are satisfied, print "NO" in the first line.
Otherwise print "YES" in the first line. Then print two integers y (1 ≤ y ≤ 10^{18}) and j (1 ≤ j ≤ m) in the second line, where y is the first minute Ivan's alarm clock should start ringing and j is the index of the option for the interval between two consecutive signals (options are numbered from 1 to m in the order they are given input). These values should be chosen in such a way that the alarm clock will ring during all given minutes x_1, x_2, ..., x_n. If there are multiple answers, you can print any.
Examples
Input
3 5
3 12 18
2 6 5 3 3
Output
YES
3 4
Input
4 2
1 5 17 19
4 5
Output
NO
Input
4 2
1 5 17 19
2 1
Output
YES
1 1
Submitted Solution:
```
import math
def gcd(a, b):
if a == 0:
return b
if a == 1:
return 1
return gcd(b%a, a)
n, m = map(int, input().split())
x = [int(x) for x in input().split()]
p = [int(x) for x in input().split()]
ans = gcd(x[1]-x[0], x[2]-x[1])
for i in range(3, n):
ans = gcd(ans, x[i]-x[i-1])
poss = []
for i in range(1, int(math.sqrt(ans))+1):
if ans%i == 0:
poss.append(i)
for item in poss:
if item in p:
print('YES')
ans = p.index(ans)+1
print(str(x[0])+' '+str(ans))
exit(0)
print('NO')
``` | instruction | 0 | 58,895 | 4 | 117,790 |
No | output | 1 | 58,895 | 4 | 117,791 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Central Company has an office with a sophisticated security system. There are 10^6 employees, numbered from 1 to 10^6.
The security system logs entrances and departures. The entrance of the i-th employee is denoted by the integer i, while the departure of the i-th employee is denoted by the integer -i.
The company has some strict rules about access to its office:
* An employee can enter the office at most once per day.
* He obviously can't leave the office if he didn't enter it earlier that day.
* In the beginning and at the end of every day, the office is empty (employees can't stay at night). It may also be empty at any moment of the day.
Any array of events satisfying these conditions is called a valid day.
Some examples of valid or invalid days:
* [1, 7, -7, 3, -1, -3] is a valid day (1 enters, 7 enters, 7 leaves, 3 enters, 1 leaves, 3 leaves).
* [2, -2, 3, -3] is also a valid day.
* [2, 5, -5, 5, -5, -2] is not a valid day, because 5 entered the office twice during the same day.
* [-4, 4] is not a valid day, because 4 left the office without being in it.
* [4] is not a valid day, because 4 entered the office and didn't leave it before the end of the day.
There are n events a_1, a_2, …, a_n, in the order they occurred. This array corresponds to one or more consecutive days. The system administrator erased the dates of events by mistake, but he didn't change the order of the events.
You must partition (to cut) the array a of events into contiguous subarrays, which must represent non-empty valid days (or say that it's impossible). Each array element should belong to exactly one contiguous subarray of a partition. Each contiguous subarray of a partition should be a valid day.
For example, if n=8 and a=[1, -1, 1, 2, -1, -2, 3, -3] then he can partition it into two contiguous subarrays which are valid days: a = [1, -1~ \boldsymbol{|}~ 1, 2, -1, -2, 3, -3].
Help the administrator to partition the given array a in the required way or report that it is impossible to do. Find any required partition, you should not minimize or maximize the number of parts.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^5).
The second line contains n integers a_1, a_2, …, a_n (-10^6 ≤ a_i ≤ 10^6 and a_i ≠ 0).
Output
If there is no valid partition, print -1. Otherwise, print any valid partition in the following format:
* On the first line print the number d of days (1 ≤ d ≤ n).
* On the second line, print d integers c_1, c_2, …, c_d (1 ≤ c_i ≤ n and c_1 + c_2 + … + c_d = n), where c_i is the number of events in the i-th day.
If there are many valid solutions, you can print any of them. You don't have to minimize nor maximize the number of days.
Examples
Input
6
1 7 -7 3 -1 -3
Output
1
6
Input
8
1 -1 1 2 -1 -2 3 -3
Output
2
2 6
Input
6
2 5 -5 5 -5 -2
Output
-1
Input
3
-8 1 1
Output
-1
Note
In the first example, the whole array is a valid day.
In the second example, one possible valid solution is to split the array into [1, -1] and [1, 2, -1, -2, 3, -3] (d = 2 and c = [2, 6]). The only other valid solution would be to split the array into [1, -1], [1, 2, -1, -2] and [3, -3] (d = 3 and c = [2, 4, 2]). Both solutions are accepted.
In the third and fourth examples, we can prove that there exists no valid solution. Please note that the array given in input is not guaranteed to represent a coherent set of events.
Submitted Solution:
```
n = int(input())
a = list(map(int,input().split()))
office = set()
check = set()
temp=0
d = 0
c=''
can = True
for i in a:
office.add(i)
temp+=1
if -i in office and i<0:
office.remove(i)
office.remove(-i)
if len(office)==0:
d+=1
c+=str(temp)+' '
temp = 0
check.clear()
elif i in check:
can = False
break
else:
check.add(i)
if len(office)>0 or check == False:
print(-1)
else:
print(d)
print(c)
``` | instruction | 0 | 60,761 | 4 | 121,522 |
Yes | output | 1 | 60,761 | 4 | 121,523 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Central Company has an office with a sophisticated security system. There are 10^6 employees, numbered from 1 to 10^6.
The security system logs entrances and departures. The entrance of the i-th employee is denoted by the integer i, while the departure of the i-th employee is denoted by the integer -i.
The company has some strict rules about access to its office:
* An employee can enter the office at most once per day.
* He obviously can't leave the office if he didn't enter it earlier that day.
* In the beginning and at the end of every day, the office is empty (employees can't stay at night). It may also be empty at any moment of the day.
Any array of events satisfying these conditions is called a valid day.
Some examples of valid or invalid days:
* [1, 7, -7, 3, -1, -3] is a valid day (1 enters, 7 enters, 7 leaves, 3 enters, 1 leaves, 3 leaves).
* [2, -2, 3, -3] is also a valid day.
* [2, 5, -5, 5, -5, -2] is not a valid day, because 5 entered the office twice during the same day.
* [-4, 4] is not a valid day, because 4 left the office without being in it.
* [4] is not a valid day, because 4 entered the office and didn't leave it before the end of the day.
There are n events a_1, a_2, …, a_n, in the order they occurred. This array corresponds to one or more consecutive days. The system administrator erased the dates of events by mistake, but he didn't change the order of the events.
You must partition (to cut) the array a of events into contiguous subarrays, which must represent non-empty valid days (or say that it's impossible). Each array element should belong to exactly one contiguous subarray of a partition. Each contiguous subarray of a partition should be a valid day.
For example, if n=8 and a=[1, -1, 1, 2, -1, -2, 3, -3] then he can partition it into two contiguous subarrays which are valid days: a = [1, -1~ \boldsymbol{|}~ 1, 2, -1, -2, 3, -3].
Help the administrator to partition the given array a in the required way or report that it is impossible to do. Find any required partition, you should not minimize or maximize the number of parts.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^5).
The second line contains n integers a_1, a_2, …, a_n (-10^6 ≤ a_i ≤ 10^6 and a_i ≠ 0).
Output
If there is no valid partition, print -1. Otherwise, print any valid partition in the following format:
* On the first line print the number d of days (1 ≤ d ≤ n).
* On the second line, print d integers c_1, c_2, …, c_d (1 ≤ c_i ≤ n and c_1 + c_2 + … + c_d = n), where c_i is the number of events in the i-th day.
If there are many valid solutions, you can print any of them. You don't have to minimize nor maximize the number of days.
Examples
Input
6
1 7 -7 3 -1 -3
Output
1
6
Input
8
1 -1 1 2 -1 -2 3 -3
Output
2
2 6
Input
6
2 5 -5 5 -5 -2
Output
-1
Input
3
-8 1 1
Output
-1
Note
In the first example, the whole array is a valid day.
In the second example, one possible valid solution is to split the array into [1, -1] and [1, 2, -1, -2, 3, -3] (d = 2 and c = [2, 6]). The only other valid solution would be to split the array into [1, -1], [1, 2, -1, -2] and [3, -3] (d = 3 and c = [2, 4, 2]). Both solutions are accepted.
In the third and fourth examples, we can prove that there exists no valid solution. Please note that the array given in input is not guaranteed to represent a coherent set of events.
Submitted Solution:
```
n = int(input())
l = [int(i) for i in input().split()]
d = {}
d1 = []
s = 0
c = 0
for i in range(len(l)):
if l[i] > 0:
if l[i] in d:
print(-1)
break
d[l[i]] = False
s += l[i]
else:
if -1 * l[i] not in d:
print(-1)
break
else:
d[l[i]] = True
s += l[i]
c += 2
if s == 0:
d1.append(c)
d = {}
c = 0
else:
if any(d[i] == False for i in d):
print(-1)
else:
print(len(d1))
print(*d1)
``` | instruction | 0 | 60,762 | 4 | 121,524 |
Yes | output | 1 | 60,762 | 4 | 121,525 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Central Company has an office with a sophisticated security system. There are 10^6 employees, numbered from 1 to 10^6.
The security system logs entrances and departures. The entrance of the i-th employee is denoted by the integer i, while the departure of the i-th employee is denoted by the integer -i.
The company has some strict rules about access to its office:
* An employee can enter the office at most once per day.
* He obviously can't leave the office if he didn't enter it earlier that day.
* In the beginning and at the end of every day, the office is empty (employees can't stay at night). It may also be empty at any moment of the day.
Any array of events satisfying these conditions is called a valid day.
Some examples of valid or invalid days:
* [1, 7, -7, 3, -1, -3] is a valid day (1 enters, 7 enters, 7 leaves, 3 enters, 1 leaves, 3 leaves).
* [2, -2, 3, -3] is also a valid day.
* [2, 5, -5, 5, -5, -2] is not a valid day, because 5 entered the office twice during the same day.
* [-4, 4] is not a valid day, because 4 left the office without being in it.
* [4] is not a valid day, because 4 entered the office and didn't leave it before the end of the day.
There are n events a_1, a_2, …, a_n, in the order they occurred. This array corresponds to one or more consecutive days. The system administrator erased the dates of events by mistake, but he didn't change the order of the events.
You must partition (to cut) the array a of events into contiguous subarrays, which must represent non-empty valid days (or say that it's impossible). Each array element should belong to exactly one contiguous subarray of a partition. Each contiguous subarray of a partition should be a valid day.
For example, if n=8 and a=[1, -1, 1, 2, -1, -2, 3, -3] then he can partition it into two contiguous subarrays which are valid days: a = [1, -1~ \boldsymbol{|}~ 1, 2, -1, -2, 3, -3].
Help the administrator to partition the given array a in the required way or report that it is impossible to do. Find any required partition, you should not minimize or maximize the number of parts.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^5).
The second line contains n integers a_1, a_2, …, a_n (-10^6 ≤ a_i ≤ 10^6 and a_i ≠ 0).
Output
If there is no valid partition, print -1. Otherwise, print any valid partition in the following format:
* On the first line print the number d of days (1 ≤ d ≤ n).
* On the second line, print d integers c_1, c_2, …, c_d (1 ≤ c_i ≤ n and c_1 + c_2 + … + c_d = n), where c_i is the number of events in the i-th day.
If there are many valid solutions, you can print any of them. You don't have to minimize nor maximize the number of days.
Examples
Input
6
1 7 -7 3 -1 -3
Output
1
6
Input
8
1 -1 1 2 -1 -2 3 -3
Output
2
2 6
Input
6
2 5 -5 5 -5 -2
Output
-1
Input
3
-8 1 1
Output
-1
Note
In the first example, the whole array is a valid day.
In the second example, one possible valid solution is to split the array into [1, -1] and [1, 2, -1, -2, 3, -3] (d = 2 and c = [2, 6]). The only other valid solution would be to split the array into [1, -1], [1, 2, -1, -2] and [3, -3] (d = 3 and c = [2, 4, 2]). Both solutions are accepted.
In the third and fourth examples, we can prove that there exists no valid solution. Please note that the array given in input is not guaranteed to represent a coherent set of events.
Submitted Solution:
```
from sys import stdin, stdout
def is_valid(a):
m = []
for i in range(len(a)):
if (a[i] > 0):
if (a[i] in m):
return False
else:
m.append(a[i])
else:
if (abs(a[i]) not in m):
return False
return True
n = int(stdin.readline().rstrip())
a = [int(x) for x in stdin.readline().rstrip().split()]
ans = []
if (not (n % 2)):
s = 0
j = 0
for i in range(n):
s += a[i]
if (s == 0):
if (is_valid(a[j:(i + 1)])):
ans.append((i + 1) - j)
s = 0
j = i + 1
if (sum(ans) == n):
stdout.write(str(len(ans)) + '\n')
stdout.write(' '.join([str(x) for x in ans]) + '\n')
else:
stdout.write("-1\n")
else:
stdout.write("-1\n")
``` | instruction | 0 | 60,763 | 4 | 121,526 |
Yes | output | 1 | 60,763 | 4 | 121,527 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Central Company has an office with a sophisticated security system. There are 10^6 employees, numbered from 1 to 10^6.
The security system logs entrances and departures. The entrance of the i-th employee is denoted by the integer i, while the departure of the i-th employee is denoted by the integer -i.
The company has some strict rules about access to its office:
* An employee can enter the office at most once per day.
* He obviously can't leave the office if he didn't enter it earlier that day.
* In the beginning and at the end of every day, the office is empty (employees can't stay at night). It may also be empty at any moment of the day.
Any array of events satisfying these conditions is called a valid day.
Some examples of valid or invalid days:
* [1, 7, -7, 3, -1, -3] is a valid day (1 enters, 7 enters, 7 leaves, 3 enters, 1 leaves, 3 leaves).
* [2, -2, 3, -3] is also a valid day.
* [2, 5, -5, 5, -5, -2] is not a valid day, because 5 entered the office twice during the same day.
* [-4, 4] is not a valid day, because 4 left the office without being in it.
* [4] is not a valid day, because 4 entered the office and didn't leave it before the end of the day.
There are n events a_1, a_2, …, a_n, in the order they occurred. This array corresponds to one or more consecutive days. The system administrator erased the dates of events by mistake, but he didn't change the order of the events.
You must partition (to cut) the array a of events into contiguous subarrays, which must represent non-empty valid days (or say that it's impossible). Each array element should belong to exactly one contiguous subarray of a partition. Each contiguous subarray of a partition should be a valid day.
For example, if n=8 and a=[1, -1, 1, 2, -1, -2, 3, -3] then he can partition it into two contiguous subarrays which are valid days: a = [1, -1~ \boldsymbol{|}~ 1, 2, -1, -2, 3, -3].
Help the administrator to partition the given array a in the required way or report that it is impossible to do. Find any required partition, you should not minimize or maximize the number of parts.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^5).
The second line contains n integers a_1, a_2, …, a_n (-10^6 ≤ a_i ≤ 10^6 and a_i ≠ 0).
Output
If there is no valid partition, print -1. Otherwise, print any valid partition in the following format:
* On the first line print the number d of days (1 ≤ d ≤ n).
* On the second line, print d integers c_1, c_2, …, c_d (1 ≤ c_i ≤ n and c_1 + c_2 + … + c_d = n), where c_i is the number of events in the i-th day.
If there are many valid solutions, you can print any of them. You don't have to minimize nor maximize the number of days.
Examples
Input
6
1 7 -7 3 -1 -3
Output
1
6
Input
8
1 -1 1 2 -1 -2 3 -3
Output
2
2 6
Input
6
2 5 -5 5 -5 -2
Output
-1
Input
3
-8 1 1
Output
-1
Note
In the first example, the whole array is a valid day.
In the second example, one possible valid solution is to split the array into [1, -1] and [1, 2, -1, -2, 3, -3] (d = 2 and c = [2, 6]). The only other valid solution would be to split the array into [1, -1], [1, 2, -1, -2] and [3, -3] (d = 3 and c = [2, 4, 2]). Both solutions are accepted.
In the third and fourth examples, we can prove that there exists no valid solution. Please note that the array given in input is not guaranteed to represent a coherent set of events.
Submitted Solution:
```
import sys
# import math
Ri = lambda : [int(x) for x in sys.stdin.readline().split()]
ri = lambda : sys.stdin.readline().strip()
def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
INF = 10 ** 18
MOD = 10 ** 9 + 7
n = int(ri())
a = Ri()
dic ={}
cnt = 0
flag = True
ans = []
for i in range(len(a)):
if a[i] > 0:
if a[i] not in dic:
dic[a[i]]= 1
cnt+=1
else:
if dic[a[i]] == 1:
flag = False
break
else:
ans.append(i-1)
cnt = 1
dic = {}
dic[a[i]] = 1
else:
if abs(a[i]) not in dic:
flag = False
break
else:
if dic[abs(a[i])] == 0:
flag = False
break
else:
dic[abs(a[i])]-=1
cnt-=1
if cnt == 0:
ans.append(i)
cnt = 0
dic = {}
if not flag or cnt > 0:
print(-1)
else:
print(len(ans))
ans = [-1]+ans
ans = [ans[i]-ans[i-1] for i in range(1,len(ans))]
print(*ans)
``` | instruction | 0 | 60,764 | 4 | 121,528 |
Yes | output | 1 | 60,764 | 4 | 121,529 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Central Company has an office with a sophisticated security system. There are 10^6 employees, numbered from 1 to 10^6.
The security system logs entrances and departures. The entrance of the i-th employee is denoted by the integer i, while the departure of the i-th employee is denoted by the integer -i.
The company has some strict rules about access to its office:
* An employee can enter the office at most once per day.
* He obviously can't leave the office if he didn't enter it earlier that day.
* In the beginning and at the end of every day, the office is empty (employees can't stay at night). It may also be empty at any moment of the day.
Any array of events satisfying these conditions is called a valid day.
Some examples of valid or invalid days:
* [1, 7, -7, 3, -1, -3] is a valid day (1 enters, 7 enters, 7 leaves, 3 enters, 1 leaves, 3 leaves).
* [2, -2, 3, -3] is also a valid day.
* [2, 5, -5, 5, -5, -2] is not a valid day, because 5 entered the office twice during the same day.
* [-4, 4] is not a valid day, because 4 left the office without being in it.
* [4] is not a valid day, because 4 entered the office and didn't leave it before the end of the day.
There are n events a_1, a_2, …, a_n, in the order they occurred. This array corresponds to one or more consecutive days. The system administrator erased the dates of events by mistake, but he didn't change the order of the events.
You must partition (to cut) the array a of events into contiguous subarrays, which must represent non-empty valid days (or say that it's impossible). Each array element should belong to exactly one contiguous subarray of a partition. Each contiguous subarray of a partition should be a valid day.
For example, if n=8 and a=[1, -1, 1, 2, -1, -2, 3, -3] then he can partition it into two contiguous subarrays which are valid days: a = [1, -1~ \boldsymbol{|}~ 1, 2, -1, -2, 3, -3].
Help the administrator to partition the given array a in the required way or report that it is impossible to do. Find any required partition, you should not minimize or maximize the number of parts.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^5).
The second line contains n integers a_1, a_2, …, a_n (-10^6 ≤ a_i ≤ 10^6 and a_i ≠ 0).
Output
If there is no valid partition, print -1. Otherwise, print any valid partition in the following format:
* On the first line print the number d of days (1 ≤ d ≤ n).
* On the second line, print d integers c_1, c_2, …, c_d (1 ≤ c_i ≤ n and c_1 + c_2 + … + c_d = n), where c_i is the number of events in the i-th day.
If there are many valid solutions, you can print any of them. You don't have to minimize nor maximize the number of days.
Examples
Input
6
1 7 -7 3 -1 -3
Output
1
6
Input
8
1 -1 1 2 -1 -2 3 -3
Output
2
2 6
Input
6
2 5 -5 5 -5 -2
Output
-1
Input
3
-8 1 1
Output
-1
Note
In the first example, the whole array is a valid day.
In the second example, one possible valid solution is to split the array into [1, -1] and [1, 2, -1, -2, 3, -3] (d = 2 and c = [2, 6]). The only other valid solution would be to split the array into [1, -1], [1, 2, -1, -2] and [3, -3] (d = 3 and c = [2, 4, 2]). Both solutions are accepted.
In the third and fourth examples, we can prove that there exists no valid solution. Please note that the array given in input is not guaranteed to represent a coherent set of events.
Submitted Solution:
```
import sys
from functools import lru_cache, cmp_to_key
from heapq import merge, heapify, heappop, heappush
from math import *
# import math
from collections import defaultdict as dd, deque, Counter as C
from itertools import combinations as comb, permutations as perm
from bisect import bisect_left as bl, bisect_right as br, bisect
from time import perf_counter
from fractions import Fraction
# sys.setrecursionlimit(int(pow(10, 2)))
# sys.stdin = open("input.txt", "r")
# sys.stdout = open("output.txt", "w")
mod = int(pow(10, 9) + 7)
mod2 = 998244353
def data(): return sys.stdin.readline().strip()
def out(*var, end="\n"): sys.stdout.write(' '.join(map(str, var))+end)
def l(): return list(sp())
def sl(): return list(ssp())
def sp(): return map(int, data().split())
def ssp(): return map(str, data().split())
def l1d(n, val=0): return [val for i in range(n)]
def l2d(n, m, val=0): return [l1d(n, val) for j in range(m)]
# @lru_cache(None)
n=l()[0]
A=l()
s=set()
enc=set()
ans=[]
for i in range(n):
if(i!=0 and len(s)==0):
ans.append(i)
enc=set()
if(A[i]>0 and A[i] not in s):
if(A[i] in enc):
ans=-1
break
s.add(A[i])
enc.add(A[i])
elif(A[i]<0 and -A[i] in s):
s.discard(-A[i])
elif(A[i]<0 and -A[i] not in s):
ans=-1
break
if(ans==-1 or len(s)!=0):
print(-1)
exit()
if(ans==[]):
print(1)
print(n)
exit()
print(len(ans))
for ele in ans:
print(ele,end=" ")
``` | instruction | 0 | 60,765 | 4 | 121,530 |
No | output | 1 | 60,765 | 4 | 121,531 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Central Company has an office with a sophisticated security system. There are 10^6 employees, numbered from 1 to 10^6.
The security system logs entrances and departures. The entrance of the i-th employee is denoted by the integer i, while the departure of the i-th employee is denoted by the integer -i.
The company has some strict rules about access to its office:
* An employee can enter the office at most once per day.
* He obviously can't leave the office if he didn't enter it earlier that day.
* In the beginning and at the end of every day, the office is empty (employees can't stay at night). It may also be empty at any moment of the day.
Any array of events satisfying these conditions is called a valid day.
Some examples of valid or invalid days:
* [1, 7, -7, 3, -1, -3] is a valid day (1 enters, 7 enters, 7 leaves, 3 enters, 1 leaves, 3 leaves).
* [2, -2, 3, -3] is also a valid day.
* [2, 5, -5, 5, -5, -2] is not a valid day, because 5 entered the office twice during the same day.
* [-4, 4] is not a valid day, because 4 left the office without being in it.
* [4] is not a valid day, because 4 entered the office and didn't leave it before the end of the day.
There are n events a_1, a_2, …, a_n, in the order they occurred. This array corresponds to one or more consecutive days. The system administrator erased the dates of events by mistake, but he didn't change the order of the events.
You must partition (to cut) the array a of events into contiguous subarrays, which must represent non-empty valid days (or say that it's impossible). Each array element should belong to exactly one contiguous subarray of a partition. Each contiguous subarray of a partition should be a valid day.
For example, if n=8 and a=[1, -1, 1, 2, -1, -2, 3, -3] then he can partition it into two contiguous subarrays which are valid days: a = [1, -1~ \boldsymbol{|}~ 1, 2, -1, -2, 3, -3].
Help the administrator to partition the given array a in the required way or report that it is impossible to do. Find any required partition, you should not minimize or maximize the number of parts.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^5).
The second line contains n integers a_1, a_2, …, a_n (-10^6 ≤ a_i ≤ 10^6 and a_i ≠ 0).
Output
If there is no valid partition, print -1. Otherwise, print any valid partition in the following format:
* On the first line print the number d of days (1 ≤ d ≤ n).
* On the second line, print d integers c_1, c_2, …, c_d (1 ≤ c_i ≤ n and c_1 + c_2 + … + c_d = n), where c_i is the number of events in the i-th day.
If there are many valid solutions, you can print any of them. You don't have to minimize nor maximize the number of days.
Examples
Input
6
1 7 -7 3 -1 -3
Output
1
6
Input
8
1 -1 1 2 -1 -2 3 -3
Output
2
2 6
Input
6
2 5 -5 5 -5 -2
Output
-1
Input
3
-8 1 1
Output
-1
Note
In the first example, the whole array is a valid day.
In the second example, one possible valid solution is to split the array into [1, -1] and [1, 2, -1, -2, 3, -3] (d = 2 and c = [2, 6]). The only other valid solution would be to split the array into [1, -1], [1, 2, -1, -2] and [3, -3] (d = 3 and c = [2, 4, 2]). Both solutions are accepted.
In the third and fourth examples, we can prove that there exists no valid solution. Please note that the array given in input is not guaranteed to represent a coherent set of events.
Submitted Solution:
```
import math,sys
from collections import Counter, defaultdict, deque
from sys import stdin, stdout
input = stdin.readline
lili=lambda:list(map(int,sys.stdin.readlines()))
li = lambda:list(map(int,input().split()))
#for deque append(),pop(),appendleft(),popleft(),count()
I=lambda:int(input())
S=lambda:input()
n=I()
a=li()
b=[0]*((10**6)+1)
p=[]
s=0
c=0
flag=0
d=defaultdict(int)
h=defaultdict(int)
for i in range(0,n):
if(a[i]<0):
if(b[abs(a[i])]==0):
flag=1
break
elif(abs(a[i] in d)):
flag=1
break
else:
b[abs(a[i])]-=1
s-=1
c+=1
else:
if(b[a[i]]!=0):
flag=1
break
elif(a[i] in d):
flag=1
break
else:
d[a[i]]=1
b[a[i]]+=1
s+=1
c+=1
if(s==0):
p.append(c)
c=0
d=defaultdict(int)
if(flag==1):
print(-1)
else:
print(len(p))
print(*p)
``` | instruction | 0 | 60,766 | 4 | 121,532 |
No | output | 1 | 60,766 | 4 | 121,533 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Central Company has an office with a sophisticated security system. There are 10^6 employees, numbered from 1 to 10^6.
The security system logs entrances and departures. The entrance of the i-th employee is denoted by the integer i, while the departure of the i-th employee is denoted by the integer -i.
The company has some strict rules about access to its office:
* An employee can enter the office at most once per day.
* He obviously can't leave the office if he didn't enter it earlier that day.
* In the beginning and at the end of every day, the office is empty (employees can't stay at night). It may also be empty at any moment of the day.
Any array of events satisfying these conditions is called a valid day.
Some examples of valid or invalid days:
* [1, 7, -7, 3, -1, -3] is a valid day (1 enters, 7 enters, 7 leaves, 3 enters, 1 leaves, 3 leaves).
* [2, -2, 3, -3] is also a valid day.
* [2, 5, -5, 5, -5, -2] is not a valid day, because 5 entered the office twice during the same day.
* [-4, 4] is not a valid day, because 4 left the office without being in it.
* [4] is not a valid day, because 4 entered the office and didn't leave it before the end of the day.
There are n events a_1, a_2, …, a_n, in the order they occurred. This array corresponds to one or more consecutive days. The system administrator erased the dates of events by mistake, but he didn't change the order of the events.
You must partition (to cut) the array a of events into contiguous subarrays, which must represent non-empty valid days (or say that it's impossible). Each array element should belong to exactly one contiguous subarray of a partition. Each contiguous subarray of a partition should be a valid day.
For example, if n=8 and a=[1, -1, 1, 2, -1, -2, 3, -3] then he can partition it into two contiguous subarrays which are valid days: a = [1, -1~ \boldsymbol{|}~ 1, 2, -1, -2, 3, -3].
Help the administrator to partition the given array a in the required way or report that it is impossible to do. Find any required partition, you should not minimize or maximize the number of parts.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^5).
The second line contains n integers a_1, a_2, …, a_n (-10^6 ≤ a_i ≤ 10^6 and a_i ≠ 0).
Output
If there is no valid partition, print -1. Otherwise, print any valid partition in the following format:
* On the first line print the number d of days (1 ≤ d ≤ n).
* On the second line, print d integers c_1, c_2, …, c_d (1 ≤ c_i ≤ n and c_1 + c_2 + … + c_d = n), where c_i is the number of events in the i-th day.
If there are many valid solutions, you can print any of them. You don't have to minimize nor maximize the number of days.
Examples
Input
6
1 7 -7 3 -1 -3
Output
1
6
Input
8
1 -1 1 2 -1 -2 3 -3
Output
2
2 6
Input
6
2 5 -5 5 -5 -2
Output
-1
Input
3
-8 1 1
Output
-1
Note
In the first example, the whole array is a valid day.
In the second example, one possible valid solution is to split the array into [1, -1] and [1, 2, -1, -2, 3, -3] (d = 2 and c = [2, 6]). The only other valid solution would be to split the array into [1, -1], [1, 2, -1, -2] and [3, -3] (d = 3 and c = [2, 4, 2]). Both solutions are accepted.
In the third and fourth examples, we can prove that there exists no valid solution. Please note that the array given in input is not guaranteed to represent a coherent set of events.
Submitted Solution:
```
import sys
a = [0 for i in range(10 ** 6)]
n = int(input())
g = list(map(int, input().split()))
vh = []
if n % 2 != 0:
print(-1)
sys.exit(0)
T = True
ans = []
count = 0
t = 0
for i in g:
if i > 0:
if a[i - 1] == 0:
a[i - 1] = 1
t += 1
count += 1
elif a[i - 1] == 1 or (a[i - 1] == -1 and t != 0):
print(-1)
sys.exit(0)
else:
ans.append(count)
count = 0
a[i - 1] = 1
count += 1
t += 1
else:
i = abs(i)
if a[i - 1] == 1:
a[i - 1] = -1
t -= 1
count += 1
elif a[i - 1] == 0:
print(-1)
sys.exit(0)
elif a[i - 1] == -1:
print(-1)
sys.exit(0)
ans.append(count)
print(*ans)
``` | instruction | 0 | 60,767 | 4 | 121,534 |
No | output | 1 | 60,767 | 4 | 121,535 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Central Company has an office with a sophisticated security system. There are 10^6 employees, numbered from 1 to 10^6.
The security system logs entrances and departures. The entrance of the i-th employee is denoted by the integer i, while the departure of the i-th employee is denoted by the integer -i.
The company has some strict rules about access to its office:
* An employee can enter the office at most once per day.
* He obviously can't leave the office if he didn't enter it earlier that day.
* In the beginning and at the end of every day, the office is empty (employees can't stay at night). It may also be empty at any moment of the day.
Any array of events satisfying these conditions is called a valid day.
Some examples of valid or invalid days:
* [1, 7, -7, 3, -1, -3] is a valid day (1 enters, 7 enters, 7 leaves, 3 enters, 1 leaves, 3 leaves).
* [2, -2, 3, -3] is also a valid day.
* [2, 5, -5, 5, -5, -2] is not a valid day, because 5 entered the office twice during the same day.
* [-4, 4] is not a valid day, because 4 left the office without being in it.
* [4] is not a valid day, because 4 entered the office and didn't leave it before the end of the day.
There are n events a_1, a_2, …, a_n, in the order they occurred. This array corresponds to one or more consecutive days. The system administrator erased the dates of events by mistake, but he didn't change the order of the events.
You must partition (to cut) the array a of events into contiguous subarrays, which must represent non-empty valid days (or say that it's impossible). Each array element should belong to exactly one contiguous subarray of a partition. Each contiguous subarray of a partition should be a valid day.
For example, if n=8 and a=[1, -1, 1, 2, -1, -2, 3, -3] then he can partition it into two contiguous subarrays which are valid days: a = [1, -1~ \boldsymbol{|}~ 1, 2, -1, -2, 3, -3].
Help the administrator to partition the given array a in the required way or report that it is impossible to do. Find any required partition, you should not minimize or maximize the number of parts.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^5).
The second line contains n integers a_1, a_2, …, a_n (-10^6 ≤ a_i ≤ 10^6 and a_i ≠ 0).
Output
If there is no valid partition, print -1. Otherwise, print any valid partition in the following format:
* On the first line print the number d of days (1 ≤ d ≤ n).
* On the second line, print d integers c_1, c_2, …, c_d (1 ≤ c_i ≤ n and c_1 + c_2 + … + c_d = n), where c_i is the number of events in the i-th day.
If there are many valid solutions, you can print any of them. You don't have to minimize nor maximize the number of days.
Examples
Input
6
1 7 -7 3 -1 -3
Output
1
6
Input
8
1 -1 1 2 -1 -2 3 -3
Output
2
2 6
Input
6
2 5 -5 5 -5 -2
Output
-1
Input
3
-8 1 1
Output
-1
Note
In the first example, the whole array is a valid day.
In the second example, one possible valid solution is to split the array into [1, -1] and [1, 2, -1, -2, 3, -3] (d = 2 and c = [2, 6]). The only other valid solution would be to split the array into [1, -1], [1, 2, -1, -2] and [3, -3] (d = 3 and c = [2, 4, 2]). Both solutions are accepted.
In the third and fourth examples, we can prove that there exists no valid solution. Please note that the array given in input is not guaranteed to represent a coherent set of events.
Submitted Solution:
```
ans = []
N = int(input())
arr1 = list(map(int,input().split() ))
count = {}
possible = True
prev = 0
for ind, val in enumerate(arr1):
if val > 0:
if val in count:
if count[val] == 1 :
possible = False
break
else:
count = {}
count[val] = 1
ans.append(ind - prev )
prev = ind
else:
count[val] = 1
elif val < 0:
if abs(val) not in count or count[abs(val)] == 2 :
possible = False
break
else:
count[-1 * val] = 2
if not possible:
print('-1')
else:
if prev < len(arr1) - 1:
ans.append(ind - prev + 1)
print(len(ans))
print(ans)
``` | instruction | 0 | 60,768 | 4 | 121,536 |
No | output | 1 | 60,768 | 4 | 121,537 |
Provide a correct Python 3 solution for this coding contest problem.
Miki is a high school student. She has a part time job, so she cannot take enough sleep on weekdays. She wants to take good sleep on holidays, but she doesn't know the best length of sleeping time for her. She is now trying to figure that out with the following algorithm:
1. Begin with the numbers K, R and L.
2. She tries to sleep for H=(R+L)/2 hours.
3. If she feels the time is longer than or equal to the optimal length, then update L with H. Otherwise, update R with H.
4. After repeating step 2 and 3 for K nights, she decides her optimal sleeping time to be T' = (R+L)/2.
If her feeling is always correct, the steps described above should give her a very accurate optimal sleeping time. But unfortunately, she makes mistake in step 3 with the probability P.
Assume you know the optimal sleeping time T for Miki. You have to calculate the probability PP that the absolute difference of T' and T is smaller or equal to E. It is guaranteed that the answer remains unaffected by the change of E in 10^{-10}.
Input
The input follows the format shown below
K R L
P
E
T
Where the integers 0 \leq K \leq 30, 0 \leq R \leq L \leq 12 are the parameters for the algorithm described above. The decimal numbers on the following three lines of the input gives the parameters for the estimation. You can assume 0 \leq P \leq 1, 0 \leq E \leq 12, 0 \leq T \leq 12.
Output
Output PP in one line. The output should not contain an error greater than 10^{-5}.
Examples
Input
3 0 2
0.10000000000
0.50000000000
1.00000000000
Output
0.900000
Input
3 0 2
0.10000000000
0.37499999977
1.00000000000
Output
0.810000
Input
3 0 2
0.10000000000
0.00000100000
0.37500000000
Output
0.729000
Input
3 0 2
0.20000000000
0.00000100000
0.37500000000
Output
0.512000 | instruction | 0 | 61,436 | 4 | 122,872 |
"Correct Solution:
```
import sys
sys.setrecursionlimit(10**9)
def input():
return sys.stdin.readline()[:-1]
EPS = 1e-10
k, L, R = map(int, input().split())
p = float(input())
e = float(input())
t = float(input())
def search(l, r, prob, depth):
#print(l, r, prob, depth)
if depth == k:
h = (l+r)/2
if abs(h-t) + EPS < e:
return prob
else:
return 0
else:
if l - EPS > t + e or r + EPS < t - e:
return 0
elif l + EPS > t - e and t + e > r - EPS:
return prob
else:
h = (l+r)/2
if h >= t:
return search(h, r, prob * p, depth+1) + search(l, h, prob * (1-p), depth+1)
else:
return search(h, r, prob * (1-p), depth+1) + search(l, h, prob * p, depth+1)
ans = search(L, R, 1, 0)
print('{:.12f}'.format(ans))
``` | output | 1 | 61,436 | 4 | 122,873 |
Provide a correct Python 3 solution for this coding contest problem.
Miki is a high school student. She has a part time job, so she cannot take enough sleep on weekdays. She wants to take good sleep on holidays, but she doesn't know the best length of sleeping time for her. She is now trying to figure that out with the following algorithm:
1. Begin with the numbers K, R and L.
2. She tries to sleep for H=(R+L)/2 hours.
3. If she feels the time is longer than or equal to the optimal length, then update L with H. Otherwise, update R with H.
4. After repeating step 2 and 3 for K nights, she decides her optimal sleeping time to be T' = (R+L)/2.
If her feeling is always correct, the steps described above should give her a very accurate optimal sleeping time. But unfortunately, she makes mistake in step 3 with the probability P.
Assume you know the optimal sleeping time T for Miki. You have to calculate the probability PP that the absolute difference of T' and T is smaller or equal to E. It is guaranteed that the answer remains unaffected by the change of E in 10^{-10}.
Input
The input follows the format shown below
K R L
P
E
T
Where the integers 0 \leq K \leq 30, 0 \leq R \leq L \leq 12 are the parameters for the algorithm described above. The decimal numbers on the following three lines of the input gives the parameters for the estimation. You can assume 0 \leq P \leq 1, 0 \leq E \leq 12, 0 \leq T \leq 12.
Output
Output PP in one line. The output should not contain an error greater than 10^{-5}.
Examples
Input
3 0 2
0.10000000000
0.50000000000
1.00000000000
Output
0.900000
Input
3 0 2
0.10000000000
0.37499999977
1.00000000000
Output
0.810000
Input
3 0 2
0.10000000000
0.00000100000
0.37500000000
Output
0.729000
Input
3 0 2
0.20000000000
0.00000100000
0.37500000000
Output
0.512000 | instruction | 0 | 61,437 | 4 | 122,874 |
"Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**10
mod = 10**9+7
dd = [(-1,0),(0,1),(1,0),(0,-1)]
ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)]
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)
def main():
k,r,l = LI()
p = F()
e = F()
t = F()
def f(k,r,l):
if abs(r-t) <= e and abs(t-l) <= e:
return 1
if t-l > e or r-t > e:
return 0
if k == 0:
if abs(t - (r+l) / 2) <= e:
return 1
return 0
h = (r+l) / 2
if h >= t:
return f(k-1,r,h) * (1-p) + f(k-1,h,l) * p
return f(k-1,r,h) * p + f(k-1,h,l) * (1-p)
tr = f(k,r,l)
return '{:0.9f}'.format(tr)
print(main())
``` | output | 1 | 61,437 | 4 | 122,875 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Miki is a high school student. She has a part time job, so she cannot take enough sleep on weekdays. She wants to take good sleep on holidays, but she doesn't know the best length of sleeping time for her. She is now trying to figure that out with the following algorithm:
1. Begin with the numbers K, R and L.
2. She tries to sleep for H=(R+L)/2 hours.
3. If she feels the time is longer than or equal to the optimal length, then update L with H. Otherwise, update R with H.
4. After repeating step 2 and 3 for K nights, she decides her optimal sleeping time to be T' = (R+L)/2.
If her feeling is always correct, the steps described above should give her a very accurate optimal sleeping time. But unfortunately, she makes mistake in step 3 with the probability P.
Assume you know the optimal sleeping time T for Miki. You have to calculate the probability PP that the absolute difference of T' and T is smaller or equal to E. It is guaranteed that the answer remains unaffected by the change of E in 10^{-10}.
Input
The input follows the format shown below
K R L
P
E
T
Where the integers 0 \leq K \leq 30, 0 \leq R \leq L \leq 12 are the parameters for the algorithm described above. The decimal numbers on the following three lines of the input gives the parameters for the estimation. You can assume 0 \leq P \leq 1, 0 \leq E \leq 12, 0 \leq T \leq 12.
Output
Output PP in one line. The output should not contain an error greater than 10^{-5}.
Examples
Input
3 0 2
0.10000000000
0.50000000000
1.00000000000
Output
0.900000
Input
3 0 2
0.10000000000
0.37499999977
1.00000000000
Output
0.810000
Input
3 0 2
0.10000000000
0.00000100000
0.37500000000
Output
0.729000
Input
3 0 2
0.20000000000
0.00000100000
0.37500000000
Output
0.512000
Submitted Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**10
mod = 10**9+7
dd = [(-1,0),(0,1),(1,0),(0,-1)]
ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)]
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)
def main():
k,r,l = LI()
p = F()
e = F()
t = F()
def f(k,r,l):
if abs(r-t) <= e and abs(t-l) <= e:
return 1
if k == 0:
if abs(t - (r+l) / 2) <= e:
return 1
return 0
h = (r+l) / 2
if h >= t:
return f(k-1,r,h) * (1-p) + f(k-1,h,l) * p
return f(k-1,r,h) * p + f(k-1,h,l) * (1-p)
tr = f(k,r,l)
return '{:0.9f}'.format(tr)
print(main())
``` | instruction | 0 | 61,438 | 4 | 122,876 |
No | output | 1 | 61,438 | 4 | 122,877 |
Provide a correct Python 3 solution for this coding contest problem.
B: Periodic Sequence-
problem
Dr. Period, a professor at H University, is studying a property called the cycle that is supposed to be hidden in all things. As a generally known basic cycle, a cycle hidden in a sequence may be considered. That is, if the sequence S = S_1, S_2, ..., S_N of length N satisfies the following properties, it has a period t (t \ ≤ N).
For 1 \ ≤ i \ ≤ N − t, S_i = S_ {i + t}.
Now, Dr. Period is paying attention to a sequence that can be described more simply using a period. For example, if a sequence of length N has a period t (\ ≤ N) and you can write N = kt using an integer k, then that sequence is a sequence of length t S_1, ..., S_t is k. It can be described that the pieces are continuous. When Dr. Period could describe a sequence as an example, he decided to say that the sequence was a k-part.
Dr. Period is interested in the k-part with the largest k. So, as an assistant, you are tasked with writing a program that takes a sequence as input and outputs the largest k when it is a k-part. Create a program that exactly meets Dr. Period's demands.
Input format
N
S_1 ... S_N
The first row is given the integer N, which represents the length of the sequence. In the second row, the integer S_i (1 \ ≤ i \ ≤ N) representing each element of the sequence of length N is given, separated by blanks. Also, the inputs satisfy 1 \ ≤ N \ ≤ 200,000 and 1 \ ≤ S_i \ ≤ 100,000 (1 \ ≤ i \ ≤ N).
Output format
For a given sequence, output the maximum value of k when it is k-part in one row.
Input example 1
6
1 2 3 1 2 3
Output example 1
2
Input example 2
12
1 2 1 2 1 2 1 2 1 2 1 2
Output example 2
6
Input example 3
6
1 2 3 4 5 6
Output example 3
1
Example
Input
6
1 2 3 1 2 3
Output
2 | instruction | 0 | 61,439 | 4 | 122,878 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
for i in range(1,n+1):
if n%i==0:
for j in range(n):
if j>=i and a[j]!=a[j-i]:break
else:print(n//i);exit()
print(1)
``` | output | 1 | 61,439 | 4 | 122,879 |
Provide a correct Python 3 solution for this coding contest problem.
B: Periodic Sequence-
problem
Dr. Period, a professor at H University, is studying a property called the cycle that is supposed to be hidden in all things. As a generally known basic cycle, a cycle hidden in a sequence may be considered. That is, if the sequence S = S_1, S_2, ..., S_N of length N satisfies the following properties, it has a period t (t \ ≤ N).
For 1 \ ≤ i \ ≤ N − t, S_i = S_ {i + t}.
Now, Dr. Period is paying attention to a sequence that can be described more simply using a period. For example, if a sequence of length N has a period t (\ ≤ N) and you can write N = kt using an integer k, then that sequence is a sequence of length t S_1, ..., S_t is k. It can be described that the pieces are continuous. When Dr. Period could describe a sequence as an example, he decided to say that the sequence was a k-part.
Dr. Period is interested in the k-part with the largest k. So, as an assistant, you are tasked with writing a program that takes a sequence as input and outputs the largest k when it is a k-part. Create a program that exactly meets Dr. Period's demands.
Input format
N
S_1 ... S_N
The first row is given the integer N, which represents the length of the sequence. In the second row, the integer S_i (1 \ ≤ i \ ≤ N) representing each element of the sequence of length N is given, separated by blanks. Also, the inputs satisfy 1 \ ≤ N \ ≤ 200,000 and 1 \ ≤ S_i \ ≤ 100,000 (1 \ ≤ i \ ≤ N).
Output format
For a given sequence, output the maximum value of k when it is k-part in one row.
Input example 1
6
1 2 3 1 2 3
Output example 1
2
Input example 2
12
1 2 1 2 1 2 1 2 1 2 1 2
Output example 2
6
Input example 3
6
1 2 3 4 5 6
Output example 3
1
Example
Input
6
1 2 3 1 2 3
Output
2 | instruction | 0 | 61,440 | 4 | 122,880 |
"Correct Solution:
```
N = int(input())
Ss = input().split()
res = 1
for t in range(1, N+1):
if (N%t != 0): continue
f = False
for i in range(N-t):
if (Ss[i] == Ss[i + t]): continue
f = True
break
if (f): continue
res = N // t
break
print(res)
``` | output | 1 | 61,440 | 4 | 122,881 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
B: Periodic Sequence-
problem
Dr. Period, a professor at H University, is studying a property called the cycle that is supposed to be hidden in all things. As a generally known basic cycle, a cycle hidden in a sequence may be considered. That is, if the sequence S = S_1, S_2, ..., S_N of length N satisfies the following properties, it has a period t (t \ ≤ N).
For 1 \ ≤ i \ ≤ N − t, S_i = S_ {i + t}.
Now, Dr. Period is paying attention to a sequence that can be described more simply using a period. For example, if a sequence of length N has a period t (\ ≤ N) and you can write N = kt using an integer k, then that sequence is a sequence of length t S_1, ..., S_t is k. It can be described that the pieces are continuous. When Dr. Period could describe a sequence as an example, he decided to say that the sequence was a k-part.
Dr. Period is interested in the k-part with the largest k. So, as an assistant, you are tasked with writing a program that takes a sequence as input and outputs the largest k when it is a k-part. Create a program that exactly meets Dr. Period's demands.
Input format
N
S_1 ... S_N
The first row is given the integer N, which represents the length of the sequence. In the second row, the integer S_i (1 \ ≤ i \ ≤ N) representing each element of the sequence of length N is given, separated by blanks. Also, the inputs satisfy 1 \ ≤ N \ ≤ 200,000 and 1 \ ≤ S_i \ ≤ 100,000 (1 \ ≤ i \ ≤ N).
Output format
For a given sequence, output the maximum value of k when it is k-part in one row.
Input example 1
6
1 2 3 1 2 3
Output example 1
2
Input example 2
12
1 2 1 2 1 2 1 2 1 2 1 2
Output example 2
6
Input example 3
6
1 2 3 4 5 6
Output example 3
1
Example
Input
6
1 2 3 1 2 3
Output
2
Submitted Solution:
```
N = int(input())
Ss = input().replace(" ", '')
part = ""
for n, i in enumerate(Ss):
if n != 0:
if i == part[0]:
Ss_cp = Ss[::1]
Ss_cp = Ss_cp.replace(part, '')
if Ss_cp == '':
print(N//len(part))
exit()
part += Ss[n]
else:
print(1)
``` | instruction | 0 | 61,441 | 4 | 122,882 |
No | output | 1 | 61,441 | 4 | 122,883 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Luba needs your help again! Luba has n TV sets. She knows that i-th TV set will be working from moment of time li till moment ri, inclusive.
Luba wants to switch off one of TV sets in order to free the socket. Let's call some TV set redundant if after switching it off the number of integer moments of time when at least one of TV sets is working won't decrease. Luba will be very upset if she has to switch off a non-redundant TV set.
Help Luba by telling her the index of some redundant TV set. If there is no any, print -1.
Input
The first line contains one integer number n (1 ≤ n ≤ 2·105) — the number of TV sets.
Then n lines follow, each of them containing two integer numbers li, ri (0 ≤ li ≤ ri ≤ 109) denoting the working time of i-th TV set.
Output
If there is no any redundant TV set, print -1. Otherwise print the index of any redundant TV set (TV sets are indexed from 1 to n).
If there are multiple answers, print any of them.
Examples
Input
3
1 3
4 6
1 7
Output
1
Input
2
0 10
0 10
Output
1
Input
3
1 2
3 4
6 8
Output
-1
Input
3
1 2
2 3
3 4
Output
2
Note
Consider the first sample. Initially all integer moments of time such that at least one TV set is working are from the segment [1;7]. It's easy to see that this segment won't change if we switch off the first TV set (or the second one).
Note that in the fourth sample you can switch off the second TV set, since even without it all integer moments such that any of the TV sets is working denote the segment [1;4]. | instruction | 0 | 61,974 | 4 | 123,948 |
Tags: data structures, sortings
Correct Solution:
```
n=int(input())
a=[(-1,-1,0)]
for i in range(n):
x,y=map(int,input().split())
a.append((x,y,i+1))
a.append((1000000005,1000000005,n+1))
a.sort()
for i in range(1,n+1):
t=a[i]
tp=a[i-1]
tn=a[i+1]
#shut the fuck up
if (t[1]<=tp[1]) or (t[0]>=tn[0] and t[1]<=tn[1]) or (tp[1]+1>=tn[0] and t[1]<=tn[1]):
print(t[2])
break
else:
print(-1)
``` | output | 1 | 61,974 | 4 | 123,949 |
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