message stringlengths 2 44.5k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 276 109k | cluster float64 23 23 | __index_level_0__ int64 552 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556 | instruction | 0 | 88,324 | 23 | 176,648 |
"Correct Solution:
```
r=float(input())
p=3.141592653589
print(f'{p*r*r} {2*p*r}')
``` | output | 1 | 88,324 | 23 | 176,649 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556 | instruction | 0 | 88,325 | 23 | 176,650 |
"Correct Solution:
```
a=float(input())
b=a*3.14159265358979
print(a*b,2*b)
``` | output | 1 | 88,325 | 23 | 176,651 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556 | instruction | 0 | 88,326 | 23 | 176,652 |
"Correct Solution:
```
r=float(input())
pi=3.141592653589
print(r**2*pi,2*r*pi)
``` | output | 1 | 88,326 | 23 | 176,653 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556 | instruction | 0 | 88,327 | 23 | 176,654 |
"Correct Solution:
```
from math import pi
r = float(input())
print(r * r * pi, 2 * r * pi)
``` | output | 1 | 88,327 | 23 | 176,655 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556 | instruction | 0 | 88,328 | 23 | 176,656 |
"Correct Solution:
```
r = float(input())
x = 3.141592653589
A = r**2*x
B = 2*r*x
print(A,B)
``` | output | 1 | 88,328 | 23 | 176,657 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556 | instruction | 0 | 88,329 | 23 | 176,658 |
"Correct Solution:
```
r = float(input())
pi = 3.141592653589
print("%.6f %.6f"%(r*r*pi,r*2*pi))
``` | output | 1 | 88,329 | 23 | 176,659 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556 | instruction | 0 | 88,330 | 23 | 176,660 |
"Correct Solution:
```
import math
r = float(input())
print(r ** 2 * math.pi, 2 * math.pi * r)
``` | output | 1 | 88,330 | 23 | 176,661 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556 | instruction | 0 | 88,331 | 23 | 176,662 |
"Correct Solution:
```
import math
r = float(input())
print(r**2*math.pi,r*2*math.pi)
``` | output | 1 | 88,331 | 23 | 176,663 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556
Submitted Solution:
```
import math
x=float(input())
print("{} {}".format(x*x*math.pi,2*x*math.pi))
``` | instruction | 0 | 88,332 | 23 | 176,664 |
Yes | output | 1 | 88,332 | 23 | 176,665 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556
Submitted Solution:
```
pi=3.141592653589
r=float(input())
print(pi*(r**2),2*pi*r)
``` | instruction | 0 | 88,333 | 23 | 176,666 |
Yes | output | 1 | 88,333 | 23 | 176,667 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556
Submitted Solution:
```
r = float(input())
l = 3.141592653589
print(r*r*l,2*r*l)
``` | instruction | 0 | 88,334 | 23 | 176,668 |
Yes | output | 1 | 88,334 | 23 | 176,669 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556
Submitted Solution:
```
from math import pi
r=float(input())
print(f'{r*r*pi:.08f} {r*2*pi:.08f}')
``` | instruction | 0 | 88,335 | 23 | 176,670 |
Yes | output | 1 | 88,335 | 23 | 176,671 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556
Submitted Solution:
```
x = int(input())
a = 3.14*x*x
b = 3.14*(x+x)
print("%.6f" %a, "%.6f" %b)
``` | instruction | 0 | 88,336 | 23 | 176,672 |
No | output | 1 | 88,336 | 23 | 176,673 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556
Submitted Solution:
```
r = int(input())
area = 3.14159265 * r ** 2
circum = 2 * 3.14159265 * r
print("{0:.6f} {1:.6f}".format(area,circum))
``` | instruction | 0 | 88,337 | 23 | 176,674 |
No | output | 1 | 88,337 | 23 | 176,675 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556
Submitted Solution:
```
string = input()
number = int(string[0])
print(number*2*3.14159, number*number*2*3.14159)
``` | instruction | 0 | 88,338 | 23 | 176,676 |
No | output | 1 | 88,338 | 23 | 176,677 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which calculates the area and circumference of a circle for given radius r.
Constraints
* 0 < r < 10000
Input
A real number r is given.
Output
Print the area and circumference of the circle in a line. Put a single space between them. The output should not contain an absolute error greater than 10-5.
Examples
Input
2
Output
12.566371 12.566371
Input
3
Output
28.274334 18.849556
Submitted Solution:
```
r = float(input())
pi = 3.14159265
a = r * r * pi
l = r * 2 * pi
print('{:0.8} {:0.8}'.format(a, l))
``` | instruction | 0 | 88,339 | 23 | 176,678 |
No | output | 1 | 88,339 | 23 | 176,679 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets. | instruction | 0 | 88,463 | 23 | 176,926 |
Tags: geometry, math
Correct Solution:
```
import sys
def over_lap(rect1, rect2):
x1, y1, x2, y2 = rect1
x3, y3, x4, y4 = rect2
if x2 < x3 or x4 < x1 or y2 < y3 or y4 < y1:
return (0, 0, 0, 0)
else:
return (max(x1, x3), max(y1, y3), min(x2, x4), min(y2, y4))
def get_area(rect):
x1, y1, x2, y2 = rect
return (x2-x1) * (y2-y1)
def is_all_cover(rect1, rect2, rect3):
over1 = over_lap(rect1, rect2)
over2 = over_lap(rect1, rect3)
over3 = over_lap(over1, over2)
area = get_area(over1) + get_area(over2) - get_area(over3)
if area == get_area(rect1):
return "NO"
else:
return "YES"
rect1 = [int(i) for i in sys.stdin.readline().strip().split(' ')]
rect2 = [int(i) for i in sys.stdin.readline().strip().split(' ')]
rect3 = [int(i) for i in sys.stdin.readline().strip().split(' ')]
print(is_all_cover(rect1, rect2, rect3))
``` | output | 1 | 88,463 | 23 | 176,927 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets. | instruction | 0 | 88,464 | 23 | 176,928 |
Tags: geometry, math
Correct Solution:
```
import sys
def intersection(x1,y1,x2,y2,x3,y3,x4,y4):
a1=max(x1,x3)
b1=max(y1,y3)
a2=min(x2,x4)
b2=min(y2,y4)
x_dist=min(x2,x4)-max(x1,x3)
y_dist=min(y2,y4)-max(y1,y3)
if(x_dist<=0 or y_dist<=0):
return [0,0,0,0]
return [a1,b1,a2,b2]
def area(x1,y1,x2,y2):
return (x2-x1)*(y2-y1)
[x1,y1,x2,y2]=[int(i) for i in sys.stdin.readline().split()]
[x3,y3,x4,y4]=[int(j) for j in sys.stdin.readline().split()]
[x5,y5,x6,y6]=[int(k) for k in sys.stdin.readline().split()]
wb1=intersection(x1,y1,x2,y2,x3,y3,x4,y4)
wb2=intersection(x1,y1,x2,y2,x5,y5,x6,y6)
wb1b2=intersection(wb1[0],wb1[1],wb1[2],wb1[3],wb2[0],wb2[1],wb2[2],wb2[3])
# wb1b2=intersection(x3,y3,x4,y4,x5,y5,x6,y6)
# print(area(x1,y1,x2,y2),area(wb1[0],wb1[1],wb1[2],wb1[3]),area(wb2[0],wb2[1],wb2[2],wb2[3]),area(wb1b2[0],wb1b2[1],wb1b2[2],wb1b2[3]))
if(area(x1,y1,x2,y2)>area(wb1[0],wb1[1],wb1[2],wb1[3])+area(wb2[0],wb2[1],wb2[2],wb2[3])-area(wb1b2[0],wb1b2[1],wb1b2[2],wb1b2[3])):
print("YES")
else:
print("NO")
``` | output | 1 | 88,464 | 23 | 176,929 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets. | instruction | 0 | 88,465 | 23 | 176,930 |
Tags: geometry, math
Correct Solution:
```
c = lambda s: [(s[0 if (i&1) else 2], s[1 if (i&2) else 3]) for i in range(4)]
ins = lambda p,s: s[0] <= p[0] <= s[2] and s[1] <= p[1] <= s[3]
w = list(map(int,input().split()))
b = [list(map(int,input().split())) for _ in '12']
cn = [set(i for i,p in enumerate(c(w)) if ins(p, s)) for s in b]
if len(cn[0]|cn[1]) < 4: print('YES')
elif len(cn[0])==4 or len(cn[1])==4: print('NO')
elif min(b[0][2], b[1][2]) < max(b[0][0], b[1][0]): print('YES')
else: print('YES' if min(b[0][3], b[1][3]) < max(b[0][1], b[1][1]) else 'NO')
``` | output | 1 | 88,465 | 23 | 176,931 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets. | instruction | 0 | 88,466 | 23 | 176,932 |
Tags: geometry, math
Correct Solution:
```
x1, y1, x2, y2 = map(int, input().split())
x3, y3, x4, y4 = map(int, input().split())
x5, y5, x6, y6 = map(int, input().split())
def per(a):
x1, y1, x2, y2, x3, y3, x4, y4 = a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7]
left = max(x1, x3)
right = min(x2, x4)
top = min(y2, y4)
bottom = max(y1, y3)
if left > right or bottom > top:
return([0, 0, 0, 0])
return([left, bottom, right, top])
def s(a):
x1, y1, x2, y2 = a[0], a[1], a[2], a[3]
return (x2 - x1) * (y2 - y1)
s1 = s(per([x1, y1, x2, y2, x3, y3, x4, y4]))
s2 = s(per([x1, y1, x2, y2, x5, y5, x6, y6]))
s3 = s(per([x1, y1, x2, y2] + per([x3, y3, x4, y4, x5, y5, x6, y6])))
if s1 + s2 - s3 >= s([x1, y1, x2, y2]):
print('NO')
else:
print('YES')
#print(s1, s2, s3)
``` | output | 1 | 88,466 | 23 | 176,933 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets. | instruction | 0 | 88,467 | 23 | 176,934 |
Tags: geometry, math
Correct Solution:
```
i1 = input('').split(' ')
x1 = int(i1[0])
y1 = int(i1[1])
x2 = int(i1[2])
y2 = int(i1[3])
i1 = input('').split(' ')
x3 = int(i1[0])
y3 = int(i1[1])
x4 = int(i1[2])
y4 = int(i1[3])
i1 = input('').split(' ')
x5 = int(i1[0])
y5 = int(i1[1])
x6 = int(i1[2])
y6 = int(i1[3])
def chk(x1,y1,x2,y2,x3,y3):
if(x3 <= x2 and x3 >= x1 and y3 >= y1 and y3 <= y2):
return True
else:
return False
r11 = chk(x3,y3,x4,y4,x1,y1)
r12 = chk(x5,y5,x6,y6,x1,y1)
r21 = chk(x3,y3,x4,y4,x2,y1)
r22 = chk(x5,y5,x6,y6,x2,y1)
r31 = chk(x3,y3,x4,y4,x1,y2)
r32 = chk(x5,y5,x6,y6,x1,y2)
r41 = chk(x3,y3,x4,y4,x2,y2)
r42 = chk(x5,y5,x6,y6,x2,y2)
def car(x1,y1,x2,y2,x3,y3,x4,y4):
yy1 = max(y1,y3)
yy2 = min(y2,y4)
xx1 = max(x1,x3)
xx2 = min(x2,x4)
area = (abs(yy1 - yy2))*(abs(xx1 - xx2))
return area
if((r11 or r12) and (r21 or r22) and (r31 or r32) and (r41 or r42)):
a1 = car(x1,y1,x2,y2,x3,y3,x4,y4)
a2 = car(x1,y1,x2,y2,x5,y5,x6,y6)
ta = a1 + a2
if(ta >= (x2-x1)*(y2-y1)):
print('NO')
else:
print('YES')
else:
print('YES')
``` | output | 1 | 88,467 | 23 | 176,935 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets. | instruction | 0 | 88,468 | 23 | 176,936 |
Tags: geometry, math
Correct Solution:
```
def inside(x1, y1, x2, y2, x3, y3, x4, y4):
return x3 <= x1 <= x4 and y3 <= y1 <= y4 and x3 <= x2 <= x4 and y3 <= y2 <= y4
x1, y1, x2, y2 = map(int, input().split())
x3, y3, x4, y4 = map(int, input().split())
x5, y5, x6, y6 = map(int, input().split())
ok = False
if inside(x1, y1, x2, y2, x3, y3, x4, y4) or inside(x1, y1, x2, y2, x5, y5, x6, y6):
ok = True
if y3 <= y1 <= y4 and y3 <= y2 <= y4 and x3 <= x1 <= x4 and y5 <= y1 <= y6 and y5 <= y2 <= y6 and x5 <= x2 <= x6 and x5 <= x4:
ok = True
if y3 <= y1 <= y4 and y3 <= y2 <= y4 and x3 <= x2 <= x4 and y5 <= y1 <= y6 and y5 <= y2 <= y6 and x5 <= x1 <= x6 and x3 <= x6:
ok = True
if x3 <= x1 <= x4 and x3 <= x2 <= x4 and y3 <= y1 <= y4 and x5 <= x1 <= x6 and x5 <= x2 <= x6 and y5 <= y2 <= y6 and y5 <= y4:
ok = True
if x3 <= x1 <= x4 and x3 <= x2 <= x4 and y3 <= y2 <= y4 and x5 <= x1 <= x6 and x5 <= x2 <= x6 and y5 <= y1 <= y6 and y3 <= y6:
ok = True
if ok:
print("NO")
else:
print("YES")
``` | output | 1 | 88,468 | 23 | 176,937 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets. | instruction | 0 | 88,469 | 23 | 176,938 |
Tags: geometry, math
Correct Solution:
```
def cut(A, B):
"""
B interior in A
"""
return [(max([A[0][0], B[0][0]]), max([A[0][1], B[0][1]])),
(min([A[1][0], B[1][0]]), min([A[1][1], B[1][1]]))]
def area(A):
if A[1][0] < A[0][0] or A[1][1] < A[0][1]:
return 0
return max([(A[1][0] - A[0][0]) * (A[1][1] - A[0][1]), 0])
def common_area(A, B):
return area(cut(A, B))
A = [int(x) for x in input().split()]
A = [[A[0], A[1]], [A[2], A[3]]]
B = [int(x) for x in input().split()]
B = [[B[0], B[1]], [B[2], B[3]]]
C = [int(x) for x in input().split()]
C = [[C[0], C[1]], [C[2], C[3]]]
print("YES" if area(A) - common_area(A, B) - common_area(A, C) +
common_area(cut(A, B), cut(A, C)) > 0 else "NO")
``` | output | 1 | 88,469 | 23 | 176,939 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets. | instruction | 0 | 88,470 | 23 | 176,940 |
Tags: geometry, math
Correct Solution:
```
def intersection(a, b):
return max(a[0], b[0]), max(a[1], b[1]), min(a[2], b[2]), min(a[3], b[3])
def area(lst):
return max(lst[2] - lst[0], 0) * max(lst[3] - lst[1], 0)
w = [int(i) for i in input().split()]
lst1 = [int(i) for i in input().split()]
lst2 = [int(i) for i in input().split()]
if area(intersection(w, lst1)) + area(intersection(w, lst2)) - area(intersection(w, intersection(lst1, lst2))) == area(
w):
print("NO")
else:
print("YES")
``` | output | 1 | 88,470 | 23 | 176,941 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets.
Submitted Solution:
```
def intersect(x1, y1, x2, y2, x3, y3, x4, y4):
ax = max(x1, x3)
bx = min(x2, x4)
ay = max(y1, y3)
by = min(y2, y4)
if bx < ax or by < ay:
return 0, 0, 0, 0
else:
return ax, ay, bx, by
def square(x1, y1, x2, y2):
return (x2 - x1) * (y2 - y1)
x1, y1, x2, y2 = map(int, input().split())
x3, y3, x4, y4 = map(int, input().split())
x5, y5, x6, y6 = map(int, input().split())
px1, py1, px2, py2 = intersect(x1, y1, x2, y2, x3, y3, x4, y4)
px3, py3, px4, py4 = intersect(x1, y1, x2, y2, x5, y5, x6, y6)
ax, ay, bx, by = intersect(px1, py1, px2, py2, px3, py3, px4, py4)
if square(x1, y1, x2, y2) > square(px1, py1, px2, py2) + square(px3, py3, px4, py4) - square(ax, ay, bx, by):
print('YES')
else:
print('NO')
``` | instruction | 0 | 88,471 | 23 | 176,942 |
Yes | output | 1 | 88,471 | 23 | 176,943 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets.
Submitted Solution:
```
import datetime
def count_time(func):
def int_time(*args, **kwargs):
print('*' * 10,'Code start running!')
start_time = datetime.datetime.now() # η¨εΊεΌε§ζΆι΄
func()
over_time = datetime.datetime.now() # η¨εΊη»ζζΆι΄
total_time = (over_time-start_time).total_seconds()
print('*' * 10, 'Total time: %s' % total_time)
return int_time
def area(rec):
x1, y1, x2, y2 = rec
return (x2 - x1) * (y2 - y1)
def compute_iou(rec1, rec2):
S_rec1 = (rec1[2] - rec1[0]) * (rec1[3] - rec1[1])
S_rec2 = (rec2[2] - rec2[0]) * (rec2[3] - rec2[1])
sum_area = S_rec1 + S_rec2
left_line = max(rec1[1], rec2[1])
right_line = min(rec1[3], rec2[3])
top_line = max(rec1[0], rec2[0])
bottom_line = min(rec1[2], rec2[2])
if left_line >= right_line or top_line >= bottom_line:
return 0
else:
intersect = (right_line - left_line) * (bottom_line - top_line)
return intersect
def min_rec(rec1, rec2):
rec2[0] = max(rec1[0], rec2[0])
rec2[1] = max(rec1[1], rec2[1])
rec2[2] = min(rec1[2], rec2[2])
rec2[3] = min(rec1[3], rec2[3])
if rec2[0] >= rec2[2] or rec2[1] >= rec2[3]:
return (0, 0, 0, 0)
return rec2
#@count_time
def main():
rec1 = list(map(int, input().strip().split()))
rec2 = list(map(int, input().strip().split()))
rec3 = list(map(int, input().strip().split()))
rec2 = min_rec(rec1, rec2)
rec3 = min_rec(rec1, rec3)
a = compute_iou(rec1, rec2)
b = compute_iou(rec1, rec3)
c = compute_iou(rec2, rec3)
ans = area(rec1) - a - b + c
if ans > 0:
print('YES')
else :
print('NO')
if __name__ == '__main__':
main()
``` | instruction | 0 | 88,472 | 23 | 176,944 |
Yes | output | 1 | 88,472 | 23 | 176,945 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets.
Submitted Solution:
```
x1,y1,x2,y2=list(map(int,input().split()))
x3,y3,x4,y4=list(map(int,input().split()))
x5,y5,x6,y6=list(map(int,input().split()))
px1=max(0,min(x2,x4)-max(x1,x3))#ΠΏΠ΅ΡΠ΅ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΏΠΎ Ρ
Π±Π΅Π»ΠΎΠ³ΠΎ ΠΈ 1-Π³ΠΎ ΡΡΡΠ½ΠΎΠ³ΠΎ
py1=max(0,min(y2,y4)-max(y1,y3))#ΠΏΠ΅ΡΠ΅ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΏΠΎ y Π±Π΅Π»ΠΎΠ³ΠΎ ΠΈ 1-Π³ΠΎ ΡΡΡΠ½ΠΎΠ³ΠΎ
px2=max(0,min(x2,x6)-max(x1,x5))#ΠΏΠ΅ΡΠ΅ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΏΠΎ Ρ
Π±Π΅Π»ΠΎΠ³ΠΎ ΠΈ 2-Π³ΠΎ ΡΡΡΠ½ΠΎΠ³ΠΎ
py2=max(0,min(y2,y6)-max(y1,y5))#ΠΏΠ΅ΡΠ΅ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΏΠΎ y Π±Π΅Π»ΠΎΠ³ΠΎ ΠΈ 2-Π³ΠΎ ΡΡΡΠ½ΠΎΠ³ΠΎ
px=max(0,min(x2,x4,x6)-max(x1,x3,x5))#ΠΎΠ±ΡΠ΅Π΅ ΠΏΠ΅ΡΠ΅ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΏΠΎ Ρ
py=max(0,min(y2,y4,y6)-max(y1,y3,y5))#ΠΎΠ±ΡΠ΅Π΅ ΠΏΠ΅ΡΠ΅ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΏΠΎ y
if px1*py1+px2*py2-px*py==(x2-x1)*(y2-y1):print('NO')
else:print('YES')
``` | instruction | 0 | 88,473 | 23 | 176,946 |
Yes | output | 1 | 88,473 | 23 | 176,947 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets.
Submitted Solution:
```
a = [list(map(int, input().split())) for _ in range(3)]
def area(v):
return max(0, v[2] - v[0]) * max(0, v[3] - v[1])
def clip(v1, v2):
return [max(v1[0], v2[0]), max(v1[1], v2[1]), min(v1[2], v2[2]), min(v1[3], v2[3])]
print('YES' if area(clip(a[0], a[1])) + area(clip(a[0], a[2])) - area(clip(a[0], clip(a[1], a[2]))) < area(a[0]) else 'NO')
``` | instruction | 0 | 88,474 | 23 | 176,948 |
Yes | output | 1 | 88,474 | 23 | 176,949 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets.
Submitted Solution:
```
a= list(map(int,input().split()))
b = list(map(int,input().split()))
c = list(map(int,input().split()))
if(b[0]<=a[0]and b[1]<=a[1]):
if(b[2]>=a[2] and b[3]>=a[3]):
print('NO')
elif (b[2]>=a[2]):
x=a[0]
y=b[3]
if(c[0]<=x and c[1]<=y):
if(c[2]>=a[2] and c[3]>=a[3]):
print('NO')
else:
print('YES')
else:
print('YES')
elif b[3]>=a[3]:
x = b[2]
y = a[1]
# print(x,y)
if (c[0] <= x and c[1] <= y):
if (c[2] >= a[2] and c[3] >= a[3]):
print('NO')
else:
print('YES')
else:
print('YES')
elif(c[0]<=a[0]and c[1]<=a[1]):
if(c[2]>=a[2] and c[3]>=a[3]):
print('NO')
elif (c[2]>=a[2]):
x=a[0]
y=c[3]
if(b[0]<=x and b[1]<=y):
if(b[2]>=a[2] and b[3]>=a[3]):
print('NO')
else:
print('YES')
else:
print('YES')
elif c[3]>=a[3]:
x = c[2]
y = a[1]
if (b[0] <= x and b[1] <= y):
if (b[2] >= a[2] and b[3] >= a[3]):
print('NO')
else:
print('YES')
else:
print('YES')
else:
print('YES')
``` | instruction | 0 | 88,475 | 23 | 176,950 |
No | output | 1 | 88,475 | 23 | 176,951 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets.
Submitted Solution:
```
import sys
x1, y1, x2, y2 = map(int, sys.stdin.readline().split())
x3, y3, x4, y4 = map(int, sys.stdin.readline().split())
x5, y5, x6, y6 = map(int, sys.stdin.readline().split())
con1 = x1 >= x3 and x2 <= x4 and y1 >= y3 and y2 <= y4
con2 = x1 >= x5 and x2 <= x6 and y1 >= y5 and y2 <= y6
if con1 or con2:
# print("call1")
print("NO")
else:
con3 = y6 <= y4 and x3 <= x6
con4 = y6 >= y4 and x4 >= x5
con5 = x6 >= x4 and y4 >= y5
con6 = x6 <= x4 and y6 >= y3
if con3 or con4:
if con4:
x4, y4 = x6, y6
x3, y3 = x5, y5
con7 = x5 <= x1 and x3 <= x1 and x6 >= x2 and x4 >= x2 and y5 <= y1 and y4 >= y2 and y6 >= y3
if con7:
# print("call2")
print("NO")
else:
# print("call3")
print("YES")
elif con5 or con6:
if con6:
x4, y4 = x6, y6
x3, y3 = x5, y5
con8 = y4 >= y2 and y6 >= y2 and y3 >= y1 and y5 >= y1 and x3 >= x1 and x6 >= x2 and x4 >= x5
if con8:
# print("call4")
print("NO")
else:
# print("call5")
print("YES")
``` | instruction | 0 | 88,476 | 23 | 176,952 |
No | output | 1 | 88,476 | 23 | 176,953 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets.
Submitted Solution:
```
a = [list(map(int, input().split())) for _ in range(3)]
def area(v):
return max(0, v[2] - v[0]) * max(0, v[3] - v[1])
def clip(v1, v2):
return area([max(v1[0], v2[0]), max(v1[1], v2[1]), min(v1[2], v2[2]), min(v1[3], v2[3])])
print('YES' if clip(a[0], a[1]) + clip(a[0], a[2]) - clip(a[1], a[2]) < area(a[0]) else 'NO')
``` | instruction | 0 | 88,477 | 23 | 176,954 |
No | output | 1 | 88,477 | 23 | 176,955 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a white sheet of paper lying on a rectangle table. The sheet is a rectangle with its sides parallel to the sides of the table. If you will take a look from above and assume that the bottom left corner of the table has coordinates (0, 0), and coordinate axes are left and bottom sides of the table, then the bottom left corner of the white sheet has coordinates (x_1, y_1), and the top right β (x_2, y_2).
After that two black sheets of paper are placed on the table. Sides of both black sheets are also parallel to the sides of the table. Coordinates of the bottom left corner of the first black sheet are (x_3, y_3), and the top right β (x_4, y_4). Coordinates of the bottom left corner of the second black sheet are (x_5, y_5), and the top right β (x_6, y_6).
<image> Example of three rectangles.
Determine if some part of the white sheet can be seen from the above after the two black sheets are placed. The part of the white sheet can be seen if there is at least one point lying not strictly inside the white sheet and strictly outside of both black sheets.
Input
The first line of the input contains four integers x_1, y_1, x_2, y_2 (0 β€ x_1 < x_2 β€ 10^{6}, 0 β€ y_1 < y_2 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the white sheet.
The second line of the input contains four integers x_3, y_3, x_4, y_4 (0 β€ x_3 < x_4 β€ 10^{6}, 0 β€ y_3 < y_4 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the first black sheet.
The third line of the input contains four integers x_5, y_5, x_6, y_6 (0 β€ x_5 < x_6 β€ 10^{6}, 0 β€ y_5 < y_6 β€ 10^{6}) β coordinates of the bottom left and the top right corners of the second black sheet.
The sides of each sheet of paper are parallel (perpendicular) to the coordinate axes.
Output
If some part of the white sheet can be seen from the above after the two black sheets are placed, print "YES" (without quotes). Otherwise print "NO".
Examples
Input
2 2 4 4
1 1 3 5
3 1 5 5
Output
NO
Input
3 3 7 5
0 0 4 6
0 0 7 4
Output
YES
Input
5 2 10 5
3 1 7 6
8 1 11 7
Output
YES
Input
0 0 1000000 1000000
0 0 499999 1000000
500000 0 1000000 1000000
Output
YES
Note
In the first example the white sheet is fully covered by black sheets.
In the second example the part of the white sheet can be seen after two black sheets are placed. For example, the point (6.5, 4.5) lies not strictly inside the white sheet and lies strictly outside of both black sheets.
Submitted Solution:
```
import random
a=random.randint(1,2)
if a == 1:
print('YES')
if a == 2:
print('NO')
``` | instruction | 0 | 88,478 | 23 | 176,956 |
No | output | 1 | 88,478 | 23 | 176,957 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This time our child has a simple polygon. He has to find the number of ways to split the polygon into non-degenerate triangles, each way must satisfy the following requirements:
* each vertex of each triangle is one of the polygon vertex;
* each side of the polygon must be the side of exactly one triangle;
* the area of intersection of every two triangles equals to zero, and the sum of all areas of triangles equals to the area of the polygon;
* each triangle must be completely inside the polygon;
* each side of each triangle must contain exactly two vertices of the polygon.
The picture below depicts an example of a correct splitting.
<image>
Please, help the child. Calculate the described number of ways modulo 1000000007 (109 + 7) for him.
Input
The first line contains one integer n (3 β€ n β€ 200) β the number of vertices of the polygon. Then follow n lines, each line containing two integers. The i-th line contains xi, yi (|xi|, |yi| β€ 107) β the i-th vertex of the polygon in clockwise or counterclockwise order.
It's guaranteed that the polygon is simple.
Output
Output the number of ways modulo 1000000007 (109 + 7).
Examples
Input
4
0 0
0 1
1 1
1 0
Output
2
Input
4
0 0
1 0
0 1
-1 0
Output
1
Input
5
0 0
1 0
1 1
0 1
-2 -1
Output
3
Note
In the first sample, there are two possible splittings:
<image>
In the second sample, there are only one possible splitting:
<image>
Submitted Solution:
```
print("hello world")
``` | instruction | 0 | 88,799 | 23 | 177,598 |
No | output | 1 | 88,799 | 23 | 177,599 |
Provide a correct Python 3 solution for this coding contest problem.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No | instruction | 0 | 89,046 | 23 | 178,092 |
"Correct Solution:
```
x, y, z = map(int,input().split())
if x == y == z:
print("Yes")
else:
print("No")
``` | output | 1 | 89,046 | 23 | 178,093 |
Provide a correct Python 3 solution for this coding contest problem.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No | instruction | 0 | 89,047 | 23 | 178,094 |
"Correct Solution:
```
x,y,z= map(int,input().split())
if x==y and y==z:
print("Yes")
else:
print("No")
``` | output | 1 | 89,047 | 23 | 178,095 |
Provide a correct Python 3 solution for this coding contest problem.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No | instruction | 0 | 89,048 | 23 | 178,096 |
"Correct Solution:
```
A,B,C=[int(i) for i in input().split(" ")]
print("Yes" if A==B==C else "No")
``` | output | 1 | 89,048 | 23 | 178,097 |
Provide a correct Python 3 solution for this coding contest problem.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No | instruction | 0 | 89,049 | 23 | 178,098 |
"Correct Solution:
```
A,B,C=map(int,input().split())
if A==C and A==B:
print('Yes')
else :
print('No')
``` | output | 1 | 89,049 | 23 | 178,099 |
Provide a correct Python 3 solution for this coding contest problem.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No | instruction | 0 | 89,050 | 23 | 178,100 |
"Correct Solution:
```
A, B, C = map(int, input().split())
if (A==B and B==C):
print('Yes')
else:
print('No')
``` | output | 1 | 89,050 | 23 | 178,101 |
Provide a correct Python 3 solution for this coding contest problem.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No | instruction | 0 | 89,051 | 23 | 178,102 |
"Correct Solution:
```
a, b, c = map(int, input().split())
print("Yes" if a == b and a == c and b == c else "No")
``` | output | 1 | 89,051 | 23 | 178,103 |
Provide a correct Python 3 solution for this coding contest problem.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No | instruction | 0 | 89,052 | 23 | 178,104 |
"Correct Solution:
```
i = input().split()
if i[0]==i[1] and i[1]==i[2]:
print("Yes")
else:
print("No")
``` | output | 1 | 89,052 | 23 | 178,105 |
Provide a correct Python 3 solution for this coding contest problem.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No | instruction | 0 | 89,053 | 23 | 178,106 |
"Correct Solution:
```
a,b,c = input().split()
print("Yes" if a == b == c else "No")
``` | output | 1 | 89,053 | 23 | 178,107 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No
Submitted Solution:
```
if len(set(map(int, input().split()))) == 1:
print('Yes')
else:
print('No')
``` | instruction | 0 | 89,054 | 23 | 178,108 |
Yes | output | 1 | 89,054 | 23 | 178,109 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No
Submitted Solution:
```
A, B, C = map(int, input().split())
msg = 'Yes' if A == B and B == C else 'No'
print(msg)
``` | instruction | 0 | 89,055 | 23 | 178,110 |
Yes | output | 1 | 89,055 | 23 | 178,111 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No
Submitted Solution:
```
a,b,c=map(int,input().split())
if a==b and b==c and a==c:
print("Yes")
else:
print("No")
``` | instruction | 0 | 89,056 | 23 | 178,112 |
Yes | output | 1 | 89,056 | 23 | 178,113 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No
Submitted Solution:
```
A,B,C= map(int,input().split())
f = 'No'
if (A==B)and(C==A):
f = 'Yes'
print(f)
``` | instruction | 0 | 89,057 | 23 | 178,114 |
Yes | output | 1 | 89,057 | 23 | 178,115 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No
Submitted Solution:
```
a,b,c=map(int,input().split())
if a==b:
if b==c:
print("yes")
else:
print("No")
``` | instruction | 0 | 89,058 | 23 | 178,116 |
No | output | 1 | 89,058 | 23 | 178,117 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No
Submitted Solution:
```
a,b,c = map(int, input().split())
if a== b and b == c:
print(Yes)
else:
print(No)
``` | instruction | 0 | 89,059 | 23 | 178,118 |
No | output | 1 | 89,059 | 23 | 178,119 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No
Submitted Solution:
```
# coding: utf-8
a, b, c = map(int, input.split())
if a = b and b = c and c = a:
print('Yes')
else:
print('No')
``` | instruction | 0 | 89,060 | 23 | 178,120 |
No | output | 1 | 89,060 | 23 | 178,121 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers A, B and C.
Determine if there exists an equilateral triangle whose sides have lengths A, B and C.
Constraints
* All values in input are integers.
* 1 \leq A,B,C \leq 100
Input
Input is given from Standard Input in the following format:
A B C
Output
If there exists an equilateral triangle whose sides have lengths A, B and C, print `Yes`; otherwise, print `No`.
Examples
Input
2 2 2
Output
Yes
Input
3 4 5
Output
No
Submitted Solution:
```
abc = list(map(int, input().split()))
abc.sort()
if abc[2] >= abc[0] + abc[1]:
print("No")
else:
print("Yes")
``` | instruction | 0 | 89,061 | 23 | 178,122 |
No | output | 1 | 89,061 | 23 | 178,123 |
Provide a correct Python 3 solution for this coding contest problem.
Amidakuji is a traditional method of lottery in Japan.
To make an amidakuji, we first draw W parallel vertical lines, and then draw horizontal lines that connect them. The length of each vertical line is H+1 [cm], and the endpoints of the horizontal lines must be at 1, 2, 3, ..., or H [cm] from the top of a vertical line.
A valid amidakuji is an amidakuji that satisfies the following conditions:
* No two horizontal lines share an endpoint.
* The two endpoints of each horizontal lines must be at the same height.
* A horizontal line must connect adjacent vertical lines.
<image>
Find the number of the valid amidakuji that satisfy the following condition, modulo 1\ 000\ 000\ 007: if we trace the path from the top of the leftmost vertical line to the bottom, always following horizontal lines when we encounter them, we reach the bottom of the K-th vertical line from the left.
For example, in the following amidakuji, we will reach the bottom of the fourth vertical line from the left.
<image>
Constraints
* H is an integer between 1 and 100 (inclusive).
* W is an integer between 1 and 8 (inclusive).
* K is an integer between 1 and W (inclusive).
Input
Input is given from Standard Input in the following format:
H W K
Output
Print the number of the amidakuji that satisfy the condition, modulo 1\ 000\ 000\ 007.
Examples
Input
1 3 2
Output
1
Input
1 3 1
Output
2
Input
2 3 3
Output
1
Input
2 3 1
Output
5
Input
7 1 1
Output
1
Input
15 8 5
Output
437760187 | instruction | 0 | 89,062 | 23 | 178,124 |
"Correct Solution:
```
H, W, K = map(int, input().split())
bit = []
for i in range(1 << (W - 1)):
flag = True
for j in range(W - 1):
if i & 1 << j and i & 1 << (j + 1):
flag = False
break
if flag:
bit.append(i)
MOD = 10 ** 9 + 7
dp = [[0] * W for i in range(H + 1)]
dp[0][0] = 1
for i in range(H):
for j in range(W):
for k in bit:
ne = j
if k & 1 << j:
ne = j + 1
elif j - 1 >= 0 and k & 1 << (j - 1):
ne = j - 1
dp[i + 1][ne] += dp[i][j]
dp[i + 1][ne] %= MOD
print(dp[H][K - 1])
``` | output | 1 | 89,062 | 23 | 178,125 |
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