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 tags and a correct Python 3 solution for this coding contest problem.
You are given n integers. You need to choose a subset and put the chosen numbers in a beautiful rectangle (rectangular matrix). Each chosen number should occupy one of its rectangle cells, each cell must be filled with exactly one chosen num... | instruction | 0 | 94,500 | 23 | 189,000 |
Tags: brute force, combinatorics, constructive algorithms, data structures, greedy, math
Correct Solution:
```
from collections import Counter
from itertools import accumulate
from math import sqrt
from operator import itemgetter
import sys
n = int(input())
cnt = Counter(map(int, input().split()))
nums, counts = zip... | output | 1 | 94,500 | 23 | 189,001 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given n integers. You need to choose a subset and put the chosen numbers in a beautiful rectangle (rectangular matrix). Each chosen number should occupy one of its rectangle cells, each cell must be filled with exactly one chosen num... | instruction | 0 | 94,501 | 23 | 189,002 |
Tags: brute force, combinatorics, constructive algorithms, data structures, greedy, math
Correct Solution:
```
import sys
input = sys.stdin.readline
n=int(input())
A=list(map(int,input().split()))
from collections import Counter
C=Counter(A)
import math
MAXV=max(max(C.values()),int(math.sqrt(n)))
VCOUNT=[0]*(M... | output | 1 | 94,501 | 23 | 189,003 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n integers. You need to choose a subset and put the chosen numbers in a beautiful rectangle (rectangular matrix). Each chosen number should occupy one of its rectangle cells, each ... | instruction | 0 | 94,502 | 23 | 189,004 |
No | output | 1 | 94,502 | 23 | 189,005 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n integers. You need to choose a subset and put the chosen numbers in a beautiful rectangle (rectangular matrix). Each chosen number should occupy one of its rectangle cells, each ... | instruction | 0 | 94,503 | 23 | 189,006 |
No | output | 1 | 94,503 | 23 | 189,007 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n integers. You need to choose a subset and put the chosen numbers in a beautiful rectangle (rectangular matrix). Each chosen number should occupy one of its rectangle cells, each ... | instruction | 0 | 94,504 | 23 | 189,008 |
No | output | 1 | 94,504 | 23 | 189,009 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip the shape, but you cannot scale it.
2 coveri... | instruction | 0 | 94,537 | 23 | 189,074 |
Tags: brute force, dp, implementation, math
Correct Solution:
```
t = int(input())
while t > 0:
n = input()
print(n)
t -= 1
``` | output | 1 | 94,537 | 23 | 189,075 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip the shape, but you cannot scale it.
2 coveri... | instruction | 0 | 94,538 | 23 | 189,076 |
Tags: brute force, dp, implementation, math
Correct Solution:
```
for nt in range(int(input())):
n=int(input())
print (n)
``` | output | 1 | 94,538 | 23 | 189,077 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip the shape, but you cannot scale it.
2 coveri... | instruction | 0 | 94,539 | 23 | 189,078 |
Tags: brute force, dp, implementation, math
Correct Solution:
```
T = int(input())
for i in range(T):
st=input()
print(st)
``` | output | 1 | 94,539 | 23 | 189,079 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip the shape, but you cannot scale it.
2 coveri... | instruction | 0 | 94,540 | 23 | 189,080 |
Tags: brute force, dp, implementation, math
Correct Solution:
```
# import sys
# sys.stdin = open('input.txt', 'r')
# sys.stdout = open('output.txt', 'w+')
for _ in range (0, int(input())):
n = int(input())
ans = 1
print(n)
``` | output | 1 | 94,540 | 23 | 189,081 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip the shape, but you cannot scale it.
2 coveri... | instruction | 0 | 94,541 | 23 | 189,082 |
Tags: brute force, dp, implementation, math
Correct Solution:
```
def sol():
return int(input())
for _ in range(int(input())):
print(sol())
``` | output | 1 | 94,541 | 23 | 189,083 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip the shape, but you cannot scale it.
2 coveri... | instruction | 0 | 94,542 | 23 | 189,084 |
Tags: brute force, dp, implementation, math
Correct Solution:
```
a = int(input())
for i in range (a):
print(int(input()))
``` | output | 1 | 94,542 | 23 | 189,085 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip the shape, but you cannot scale it.
2 coveri... | instruction | 0 | 94,543 | 23 | 189,086 |
Tags: brute force, dp, implementation, math
Correct Solution:
```
from sys import stdin
def main():
r = stdin.readline
cases = int(r())
for case in range(cases):
n = int(r())
print(n)
main()
``` | output | 1 | 94,543 | 23 | 189,087 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip the shape, but you cannot scale it.
2 coveri... | instruction | 0 | 94,544 | 23 | 189,088 |
Tags: brute force, dp, implementation, math
Correct Solution:
```
t = int(input())
b = []
for i in range(t):
n = int(input())
b.append(n)
for i in range(t):
print(b[i])
``` | output | 1 | 94,544 | 23 | 189,089 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip... | instruction | 0 | 94,545 | 23 | 189,090 |
Yes | output | 1 | 94,545 | 23 | 189,091 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip... | instruction | 0 | 94,546 | 23 | 189,092 |
Yes | output | 1 | 94,546 | 23 | 189,093 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip... | instruction | 0 | 94,547 | 23 | 189,094 |
Yes | output | 1 | 94,547 | 23 | 189,095 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip... | instruction | 0 | 94,548 | 23 | 189,096 |
Yes | output | 1 | 94,548 | 23 | 189,097 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip... | instruction | 0 | 94,549 | 23 | 189,098 |
No | output | 1 | 94,549 | 23 | 189,099 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip... | instruction | 0 | 94,550 | 23 | 189,100 |
No | output | 1 | 94,550 | 23 | 189,101 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip... | instruction | 0 | 94,551 | 23 | 189,102 |
No | output | 1 | 94,551 | 23 | 189,103 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have integer n. Calculate how many ways are there to fully cover belt-like area of 4n-2 triangles with diamond shapes.
Diamond shape consists of two triangles. You can move, rotate or flip... | instruction | 0 | 94,552 | 23 | 189,104 |
No | output | 1 | 94,552 | 23 | 189,105 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polygon is not only the best platform for developing problems but also a square matrix with side n, initially filled with the character 0.
On the polygon, military training was held. The soldiers placed a cannon above each cell in the first... | instruction | 0 | 94,553 | 23 | 189,106 |
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,copy,functools
# import time,random,resource
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**10
mod = 10**9+7
mod2 = 998244353
dd = [(-1,0),(0,1),(1,0),(0,-1)]
d... | output | 1 | 94,553 | 23 | 189,107 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polygon is not only the best platform for developing problems but also a square matrix with side n, initially filled with the character 0.
On the polygon, military training was held. The soldiers placed a cannon above each cell in the first... | instruction | 0 | 94,554 | 23 | 189,108 |
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
import os
import sys
import io
import math
#input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
for t in range(int(input())):
n=int(input())
matrix=[]
for i in range(n):
matrix.append(list(map(int,input())))
ch... | output | 1 | 94,554 | 23 | 189,109 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polygon is not only the best platform for developing problems but also a square matrix with side n, initially filled with the character 0.
On the polygon, military training was held. The soldiers placed a cannon above each cell in the first... | instruction | 0 | 94,555 | 23 | 189,110 |
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
t = int(input())
for _ in range(t):
n = int(input())
lines = []
for _ in range(n):
lines.append(input())
breaker = False
yas = True
for x in range(0,n-1):
if breaker:
break
else:
... | output | 1 | 94,555 | 23 | 189,111 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polygon is not only the best platform for developing problems but also a square matrix with side n, initially filled with the character 0.
On the polygon, military training was held. The soldiers placed a cannon above each cell in the first... | instruction | 0 | 94,556 | 23 | 189,112 |
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
# 11111111111111111111111111111111111111111111111111
# 11111111111111111111111111111111111111111111111111
# 11111111111111111111111111111111111111111111111111
# 11111111111111111111111111111111111111111111111111
# 11111111111111111111111111111111111... | output | 1 | 94,556 | 23 | 189,113 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polygon is not only the best platform for developing problems but also a square matrix with side n, initially filled with the character 0.
On the polygon, military training was held. The soldiers placed a cannon above each cell in the first... | instruction | 0 | 94,557 | 23 | 189,114 |
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
from collections import deque
T = int(input())
for _ in range(T):
n = int(input())
arr = []
for _ in range(n):
arr.append(list(map(int,list(input()))))
vis = [[False for _ in range(n)] for _ in range(n)]
q = deque(... | output | 1 | 94,557 | 23 | 189,115 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polygon is not only the best platform for developing problems but also a square matrix with side n, initially filled with the character 0.
On the polygon, military training was held. The soldiers placed a cannon above each cell in the first... | instruction | 0 | 94,558 | 23 | 189,116 |
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
from math import *
from collections import *
from operator import itemgetter
import bisect
i = lambda: input()
ii = lambda: int(input())
iia = lambda: list(map(int,input().split()))
isa = lambda: list(input().split())
I = lambda:list(map(int,input()... | output | 1 | 94,558 | 23 | 189,117 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polygon is not only the best platform for developing problems but also a square matrix with side n, initially filled with the character 0.
On the polygon, military training was held. The soldiers placed a cannon above each cell in the first... | instruction | 0 | 94,559 | 23 | 189,118 |
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
t = int(input().strip())
for _ in range(t):
g = []
flag = 0
n = int(input().strip())
for _ in range(n):
g.append(input().strip())
for i in range(n - 1):
for j in range(n - 1):
if g[i][j] == '1':
... | output | 1 | 94,559 | 23 | 189,119 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polygon is not only the best platform for developing problems but also a square matrix with side n, initially filled with the character 0.
On the polygon, military training was held. The soldiers placed a cannon above each cell in the first... | instruction | 0 | 94,560 | 23 | 189,120 |
Tags: dp, graphs, implementation, shortest paths
Correct Solution:
```
#https://codeforces.com/contest/1360/problem/E
n_data = int(input())
datas = []
for i in range(n_data):
l_array = int(input())
tab = []
for i in range(l_array):
row = input()
r = []
for c in row: r.append(c)
... | output | 1 | 94,560 | 23 | 189,121 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood trying to make it look like a goose. Anyway, h... | instruction | 0 | 95,011 | 23 | 190,022 |
Tags: geometry
Correct Solution:
```
from math import hypot, atan2, cos, sin, sqrt, pi
import sys
mapInt = lambda:map(int,sys.stdin.buffer.readline().split())
N, Q = mapInt()
# Get points from input
points = {}
for n in range(N) :
x, y = mapInt()
points[n+1] = [x,y]
# Calculate COM (centroid)
centroid = [0,... | output | 1 | 95,011 | 23 | 190,023 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood trying to make it look like a goose. Anyway, h... | instruction | 0 | 95,012 | 23 | 190,024 |
Tags: geometry
Correct Solution:
```
#!/usr/bin/env python3
from math import hypot
[n, q] = map(int, input().strip().split())
xys = [tuple(map(int, input().strip().split())) for _ in range(n)]
qis = [tuple(map(int, input().strip().split())) for _ in range(q)]
dxys = [(xys[(i + 1) % n][0] - xys[i][0], xys[(i + 1) % ... | output | 1 | 95,012 | 23 | 190,025 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood trying to make it look like a goose. Anyway, h... | instruction | 0 | 95,013 | 23 | 190,026 |
Tags: geometry
Correct Solution:
```
import sys
read=lambda:map(int,sys.stdin.buffer.readline().split())
from math import *
n,q=read()
x,y=[],[]
cx,cy=0,0
deg=0
p1,p2=0,1
def pos(i):
return (cx+x[i]*cos(deg)-y[i]*sin(deg),cy+y[i]*cos(deg)+x[i]*sin(deg))
for i in range(n):
_x,_y=read()
x.append(_x);y.append(_y)
s=0
f... | output | 1 | 95,013 | 23 | 190,027 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood trying to make it look like a goose. Anyway, h... | instruction | 0 | 95,014 | 23 | 190,028 |
Tags: geometry
Correct Solution:
```
from sys import stdin, stdout
from math import atan2, sqrt, sin, cos, pi
def main():
n, q = stdin.readline().split()
n = int(n)
q = int(q)
lines = stdin.readlines()
x = [0] * (n + 1)
y = [0] * (n + 1)
for i in range(n):
x[i], y[i] = lines[i].spli... | output | 1 | 95,014 | 23 | 190,029 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood trying to make it look like a goose. Anyway, h... | instruction | 0 | 95,015 | 23 | 190,030 |
Tags: geometry
Correct Solution:
```
from sys import stdin
from math import *
rl = lambda l: tuple(map(int, l.split()))
rd = lambda: rl(input())
class Point():
def __init__(self, x, y):
self.x = x
self.y = y
def __add__(self, pt):
return Point(self.x + pt.x, self.y + pt.y)
def __iadd... | output | 1 | 95,015 | 23 | 190,031 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood trying to make it look like a goose. Anyway, h... | instruction | 0 | 95,016 | 23 | 190,032 |
Tags: geometry
Correct Solution:
```
from sys import*
from math import*
def main():
n, q = stdin.readline().split()
n = int(n)
q = int(q)
lines = stdin.readlines()
x = [0] * (n + 1)
y = [0] * (n + 1)
for i in range(n):
x[i], y[i] = lines[i].split()
x[i] = int(x[i])
y[... | output | 1 | 95,016 | 23 | 190,033 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood trying to make it look like a goose. Anyway, h... | instruction | 0 | 95,017 | 23 | 190,034 |
Tags: geometry
Correct Solution:
```
import math;
#Вычисление координаты точки по координатам центра, углу, и начальным относительно центра
def getCoordinate(gx, gy, alpha, x, y):
x1=gx+x*math.cos(alpha)-y*math.sin(alpha);
y1=gy+x*math.sin(alpha)+y*math.cos(alpha);
return x1, y1
#Вычисление угла, на который... | output | 1 | 95,017 | 23 | 190,035 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood... | instruction | 0 | 95,018 | 23 | 190,036 |
No | output | 1 | 95,018 | 23 | 190,037 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood... | instruction | 0 | 95,019 | 23 | 190,038 |
No | output | 1 | 95,019 | 23 | 190,039 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood... | instruction | 0 | 95,020 | 23 | 190,040 |
No | output | 1 | 95,020 | 23 | 190,041 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hag is a very talented person. He has always had an artist inside him but his father forced him to study mechanical engineering.
Yesterday he spent all of his time cutting a giant piece of wood... | instruction | 0 | 95,021 | 23 | 190,042 |
No | output | 1 | 95,021 | 23 | 190,043 |
Provide a correct Python 3 solution for this coding contest problem.
In the International City of Pipe Construction, it is planned to repair the water pipe at a certain point in the water pipe network. The network consists of water pipe segments, stop valves and source point. A water pipe is represented by a segment o... | instruction | 0 | 95,236 | 23 | 190,472 |
"Correct Solution:
```
from collections import deque
import sys
readline = sys.stdin.readline
write = sys.stdout.write
def dot3(O, A, B):
ox, oy = O; ax, ay = A; bx, by = B
return (ax - ox) * (bx - ox) + (ay - oy) * (by - oy)
def cross3(O, A, B):
ox, oy = O; ax, ay = A; bx, by = B
return (ax - ox) * (by... | output | 1 | 95,236 | 23 | 190,473 |
Provide a correct Python 3 solution for this coding contest problem.
For given three points p1, p2, p, find the projection point x of p onto p1p2.
<image>
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p1 and p2 are not identical.
Input
xp1 yp1 xp2 yp2
q
xp0 yp0
xp1 yp1
...
xpq−1 ypq−1
In the first lin... | instruction | 0 | 95,256 | 23 | 190,512 |
"Correct Solution:
```
import cmath
import os
import sys
if os.getenv("LOCAL"):
sys.stdin = open("_in.txt", "r")
sys.setrecursionlimit(10 ** 9)
INF = float("inf")
IINF = 10 ** 18
MOD = 10 ** 9 + 7
# MOD = 998244353
PI = cmath.pi
TAU = cmath.pi * 2
class Point:
EPS = 1e-9
def __init__(self, c: complex)... | output | 1 | 95,256 | 23 | 190,513 |
Provide a correct Python 3 solution for this coding contest problem.
For given three points p1, p2, p, find the projection point x of p onto p1p2.
<image>
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p1 and p2 are not identical.
Input
xp1 yp1 xp2 yp2
q
xp0 yp0
xp1 yp1
...
xpq−1 ypq−1
In the first lin... | instruction | 0 | 95,257 | 23 | 190,514 |
"Correct Solution:
```
x1, y1, x2, y2 = map(int, input().split())
q = int(input())
p1p2 = complex(x2 - x1, y2 - y1)
d2_p1p2 = abs(p1p2) ** 2
conj_p1p2 = p1p2.conjugate()
while q:
q -= 1
x0, y0 = map(int, input().split())
p1p0 = complex(x0 - x1, y0 - y1)
t = (conj_p1p2 * p1p0).real / d2_p1p2
print(... | output | 1 | 95,257 | 23 | 190,515 |
Provide a correct Python 3 solution for this coding contest problem.
For given three points p1, p2, p, find the projection point x of p onto p1p2.
<image>
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p1 and p2 are not identical.
Input
xp1 yp1 xp2 yp2
q
xp0 yp0
xp1 yp1
...
xpq−1 ypq−1
In the first lin... | instruction | 0 | 95,258 | 23 | 190,516 |
"Correct Solution:
```
#!/usr/bin/env python3
def inner_product(v1, v2):
return v1.real * v2.real + v1.imag * v2.imag
# ????????????b???????????????a??????????????´????????£?°???±???????????????????????????
def projection(a, b):
return a * inner_product(a, b) / (abs(a) ** 2)
def solve(p0, p1, p2):
a = ... | output | 1 | 95,258 | 23 | 190,517 |
Provide a correct Python 3 solution for this coding contest problem.
For given three points p1, p2, p, find the projection point x of p onto p1p2.
<image>
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p1 and p2 are not identical.
Input
xp1 yp1 xp2 yp2
q
xp0 yp0
xp1 yp1
...
xpq−1 ypq−1
In the first lin... | instruction | 0 | 95,259 | 23 | 190,518 |
"Correct Solution:
```
#!/usr/bin/env python3
# CGL_1_A: Points/Vectors - Projection
def proj(p1, p2, p):
x1, y1 = p1
x2, y2 = p2
x, y = p
if x1 == x2:
return x1 * 1.0, y * 1.0
elif y1 == y2:
return x * 1.0, y1 * 1.0
else:
dx = x1 - x2
dy = y1 - y2
retu... | output | 1 | 95,259 | 23 | 190,519 |
Provide a correct Python 3 solution for this coding contest problem.
For given three points p1, p2, p, find the projection point x of p onto p1p2.
<image>
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p1 and p2 are not identical.
Input
xp1 yp1 xp2 yp2
q
xp0 yp0
xp1 yp1
...
xpq−1 ypq−1
In the first lin... | instruction | 0 | 95,260 | 23 | 190,520 |
"Correct Solution:
```
import math
class Point:
def __init__(self, x, y):
self.x = x
self.y = y
def __sub__(self, other):
return Point(self.x - other.x, self.y - other.y)
def __repr__(self):
return f"({self.x},{self.y})"
class Segment:
def __init__(self, x: Point, y... | output | 1 | 95,260 | 23 | 190,521 |
Provide a correct Python 3 solution for this coding contest problem.
For given three points p1, p2, p, find the projection point x of p onto p1p2.
<image>
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p1 and p2 are not identical.
Input
xp1 yp1 xp2 yp2
q
xp0 yp0
xp1 yp1
...
xpq−1 ypq−1
In the first lin... | instruction | 0 | 95,261 | 23 | 190,522 |
"Correct Solution:
```
L1=input().split( )
[xp1,yp1,xp2,yp2]=[int(L1[0]),int(L1[1]),int(L1[2]),int(L1[3])]
direction=[xp2-xp1,yp2-yp1]
norm_direc=[(xp2-xp1)/((xp2-xp1)**2+(yp2-yp1)**2)**(1/2),(yp2-yp1)/((xp2-xp1)**2+(yp2-yp1)**2)**(1/2)]
q=int(input())
L=[]
for i in range(q):
L2=input().split( )
L.append([int(... | output | 1 | 95,261 | 23 | 190,523 |
Provide a correct Python 3 solution for this coding contest problem.
For given three points p1, p2, p, find the projection point x of p onto p1p2.
<image>
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p1 and p2 are not identical.
Input
xp1 yp1 xp2 yp2
q
xp0 yp0
xp1 yp1
...
xpq−1 ypq−1
In the first lin... | instruction | 0 | 95,262 | 23 | 190,524 |
"Correct Solution:
```
#!/usr/bin/env python
# -*- coding: utf-8 -*-
"""
input:
0 0 3 4
1
2 5
output:
3.1200000000 4.1600000000
"""
import sys
def solve(_prj_info):
for point in _prj_info:
xp, yp = map(int, point)
p = xp + yp * 1j
hypo = p - p1
prj = p1 + base * project(base, hy... | output | 1 | 95,262 | 23 | 190,525 |
Provide a correct Python 3 solution for this coding contest problem.
For given three points p1, p2, p, find the projection point x of p onto p1p2.
<image>
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p1 and p2 are not identical.
Input
xp1 yp1 xp2 yp2
q
xp0 yp0
xp1 yp1
...
xpq−1 ypq−1
In the first lin... | instruction | 0 | 95,263 | 23 | 190,526 |
"Correct Solution:
```
from math import hypot
x1, y1, x2, y2 = map(int, input().split())
dx, dy = x2-x1, y2-y1
vector_a = hypot(dx, dy)
q = int(input())
for x3, y3 in (map(int, input().split()) for _ in [0]*q):
d = ((x3-x1)*dx + (y3-y1)*dy) / (vector_a**2)
print(x1+dx*d, y1+dy*d)
``` | output | 1 | 95,263 | 23 | 190,527 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For given three points p1, p2, p, find the projection point x of p onto p1p2.
<image>
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p1 and p2 are not identical.
Input
xp1 yp1 xp2 ... | instruction | 0 | 95,264 | 23 | 190,528 |
Yes | output | 1 | 95,264 | 23 | 190,529 |
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