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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. At first, there was a legend related to the name of the problem, but now it's just a formal statement. You are given n points a_1, a_2, ..., a_n on the OX axis. Now you are asked to find such a...
instruction
0
80,901
3
161,802
No
output
1
80,901
3
161,803
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bajtek is learning to skate on ice. He's a beginner, so his only mode of transportation is pushing off from a snow drift to the north, east, south or west and sliding until he lands in another s...
instruction
0
81,074
3
162,148
Yes
output
1
81,074
3
162,149
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bajtek is learning to skate on ice. He's a beginner, so his only mode of transportation is pushing off from a snow drift to the north, east, south or west and sliding until he lands in another s...
instruction
0
81,077
3
162,154
No
output
1
81,077
3
162,155
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bajtek is learning to skate on ice. He's a beginner, so his only mode of transportation is pushing off from a snow drift to the north, east, south or west and sliding until he lands in another s...
instruction
0
81,078
3
162,156
No
output
1
81,078
3
162,157
Provide tags and a correct Python 3 solution for this coding contest problem. After a terrifying forest fire in Berland a forest rebirth program was carried out. Due to it N rows with M trees each were planted and the rows were so neat that one could map it on a system of coordinates so that the j-th tree in the i-th ...
instruction
0
81,124
3
162,248
Tags: brute force, dfs and similar, shortest paths Correct Solution: ``` ''' ___ ____ ____ _____ _____/ (_)_ ______ ____ _____/ / /_ __ ______ ___ __ / __ `/ __ `/ __ / / / / / __ \/ __ `/ __ / __ \/ / / / __ `/ / / / / /_/ / /_/ / /_/ / / /_/ / /_/ /...
output
1
81,124
3
162,249
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After a terrifying forest fire in Berland a forest rebirth program was carried out. Due to it N rows with M trees each were planted and the rows were so neat that one could map it on a system of...
instruction
0
81,125
3
162,250
No
output
1
81,125
3
162,251
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After a terrifying forest fire in Berland a forest rebirth program was carried out. Due to it N rows with M trees each were planted and the rows were so neat that one could map it on a system of...
instruction
0
81,126
3
162,252
No
output
1
81,126
3
162,253
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After a terrifying forest fire in Berland a forest rebirth program was carried out. Due to it N rows with M trees each were planted and the rows were so neat that one could map it on a system of...
instruction
0
81,127
3
162,254
No
output
1
81,127
3
162,255
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After a terrifying forest fire in Berland a forest rebirth program was carried out. Due to it N rows with M trees each were planted and the rows were so neat that one could map it on a system of...
instruction
0
81,128
3
162,256
No
output
1
81,128
3
162,257
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. On a plane are n points (xi, yi) with integer coordinates between 0 and 106. The distance between the two points with numbers a and b is said to be the following value: <image> (the distance cal...
instruction
0
81,224
3
162,448
No
output
1
81,224
3
162,449
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. On a plane are n points (xi, yi) with integer coordinates between 0 and 106. The distance between the two points with numbers a and b is said to be the following value: <image> (the distance cal...
instruction
0
81,225
3
162,450
No
output
1
81,225
3
162,451
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. On a plane are n points (xi, yi) with integer coordinates between 0 and 106. The distance between the two points with numbers a and b is said to be the following value: <image> (the distance cal...
instruction
0
81,226
3
162,452
No
output
1
81,226
3
162,453
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. On a plane are n points (xi, yi) with integer coordinates between 0 and 106. The distance between the two points with numbers a and b is said to be the following value: <image> (the distance cal...
instruction
0
81,227
3
162,454
No
output
1
81,227
3
162,455
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Earth, n is Mars. Natasha will make exactly n fligh...
instruction
0
81,705
3
163,410
Tags: binary search, math Correct Solution: ``` import math def issuff(n,m,a,b,f): for i in range(n): if f>0: burn=(f+m)/a[i] f=round(f-burn,6) burn=(f+m)/b[(i+1)%n] f=round(f-burn,6) if f<0: return False return True def ...
output
1
81,705
3
163,411
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Earth, n is Mars. Natasha will make exactly n fligh...
instruction
0
81,706
3
163,412
Tags: binary search, math Correct Solution: ``` n=int(input())#number of planets. m=int(input())#weight of the payload lift=list(map(int,input().split())) # the number of tons, which can be lifted off by one ton of fuel. land=list(map(int,input().split())) #the number of tons, which can be landed by one ton of fuel. #...
output
1
81,706
3
163,413
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Earth, n is Mars. Natasha will make exactly n fligh...
instruction
0
81,707
3
163,414
Tags: binary search, math Correct Solution: ``` n = int(input()) rm = m = int(input()) a = list(map(int,input().split())) b = list(map(int,input().split())) if min(a+b) is 1: print(-1) else: for i in range(n-1,-1,-1): m += m / (a[(i + 1) % n] - 1) m += m / (b[i] - 1) print(round(m - rm,7)) ...
output
1
81,707
3
163,415
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Earth, n is Mars. Natasha will make exactly n fligh...
instruction
0
81,708
3
163,416
Tags: binary search, math Correct Solution: ``` i=input i() m=int(i()) v=m try: for a in map(int, (i()+' '+i()).split()):v*=a/(a-1) except:v=m-1 print(v-m) # Made By Mostafa_Khaled ```
output
1
81,708
3
163,417
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Earth, n is Mars. Natasha will make exactly n fligh...
instruction
0
81,709
3
163,418
Tags: binary search, math Correct Solution: ``` #!/usr/bin/python3 N = int(input()) M = int(input()) a = [int(x) for x in input().split(' ')] b = [int(x) for x in input().split(' ')] for i in range(len(a)): if a[i] == 1 or b[i] == 1: print(-1) exit() def galima(fuel): fuel -= (M + fuel)/a[0] for i in range(1,...
output
1
81,709
3
163,419
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Earth, n is Mars. Natasha will make exactly n fligh...
instruction
0
81,710
3
163,420
Tags: binary search, math Correct Solution: ``` input() m=int(input()) v=m try: for a in map(int, input().split() + input().split()): v*=a/(a-1) print(v-m) except ZeroDivisionError: print(-1) ```
output
1
81,710
3
163,421
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Earth, n is Mars. Natasha will make exactly n fligh...
instruction
0
81,711
3
163,422
Tags: binary search, math Correct Solution: ``` import math def issuff(n,m,a,b,f): for i in range(n): if f>0: burn=(f+m)/a[i] f=round(f-burn,6) burn=(f+m)/b[(i+1)%n] f=round(f-burn,6) if f<0: return False return True def ...
output
1
81,711
3
163,423
Provide tags and a correct Python 3 solution for this coding contest problem. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Earth, n is Mars. Natasha will make exactly n fligh...
instruction
0
81,712
3
163,424
Tags: binary search, math Correct Solution: ``` '''a[i]*f1 = m+(ans) b[i+1]*l2 = m+(ans-f1) a[i+1]*f2 = m+(ans-f1-l2) b[i+2]*l3 = m+(ans-f1-l2-f2) a[i+2]*f3 = m+(ans-f1-l2-f2-l3) b[i+1]*l2' = m+(ans-f1-l2-f2-l3-f3) a[i+1]*f2' = m+(ans-f1-l2-f2-l3-f3-l2') b[i]*l1' = m+(ans-f1-l2-f2-l3-f3-l2'-f2') f1+l2+f2+l3+f3+l2'+f2'...
output
1
81,712
3
163,425
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Eart...
instruction
0
81,713
3
163,426
Yes
output
1
81,713
3
163,427
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Eart...
instruction
0
81,714
3
163,428
Yes
output
1
81,714
3
163,429
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Eart...
instruction
0
81,715
3
163,430
Yes
output
1
81,715
3
163,431
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Eart...
instruction
0
81,716
3
163,432
Yes
output
1
81,716
3
163,433
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Eart...
instruction
0
81,717
3
163,434
No
output
1
81,717
3
163,435
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Eart...
instruction
0
81,718
3
163,436
No
output
1
81,718
3
163,437
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Eart...
instruction
0
81,719
3
163,438
No
output
1
81,719
3
163,439
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Natasha is going to fly on a rocket to Mars and return to Earth. Also, on the way to Mars, she will land on n - 2 intermediate planets. Formally: we number all the planets from 1 to n. 1 is Eart...
instruction
0
81,720
3
163,440
No
output
1
81,720
3
163,441
Provide tags and a correct Python 3 solution for this coding contest problem. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the cons...
instruction
0
81,822
3
163,644
Tags: greedy Correct Solution: ``` n,m=map(int,input().split()) a = [list(map(int,input().split())) for _ in range(m)] def calc(idx): diff = sorted([(x[-1] - x[idx], i) for i, x in enumerate(a)]) tot = sum([x[0] for x in diff]) ans = [] while tot > 0: tot -= diff[-1][0] ans.append(diff[-...
output
1
81,822
3
163,645
Provide tags and a correct Python 3 solution for this coding contest problem. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the cons...
instruction
0
81,823
3
163,646
Tags: greedy Correct Solution: ``` def getMaxBoothForCandidateToWin(candidate,opposition,m): diff=[] # [difference, station] for i in range(m): diff.append([candidate[i]-opposition[i],i]) diff.sort(key=lambda x:x[0],reverse=True) prefixSum=0 maxBooth=0 pollingStations=[] for x,statio...
output
1
81,823
3
163,647
Provide tags and a correct Python 3 solution for this coding contest problem. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the cons...
instruction
0
81,824
3
163,648
Tags: greedy Correct Solution: ``` import math IP = lambda: list(map(int, input().split())) INF = 1e9 n, m = IP() lst = [[] for i in range(n)] for i in range(m): d = IP() for j in range(n): lst[j].append(d[j]) # print(*lst, sep = '\n') s = [sum(i) for i in lst] ret = [[] for i in range(n-1)] if s[-1] <...
output
1
81,824
3
163,649
Provide tags and a correct Python 3 solution for this coding contest problem. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the cons...
instruction
0
81,825
3
163,650
Tags: greedy Correct Solution: ``` #------------------------------warmup---------------------------- import os import sys import math from io import BytesIO, IOBase from fractions import Fraction BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno()...
output
1
81,825
3
163,651
Provide tags and a correct Python 3 solution for this coding contest problem. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the cons...
instruction
0
81,826
3
163,652
Tags: greedy Correct Solution: ``` a = [int(s) for s in input().split()] b = [] for numbers in range(a[1]): b.append([int(s) for s in input().split()]) c = [0 for i in range(len(b[0]))] for i in range(len(b)): for j in range(len(b[0])): c[j] += b[i][j] if c.index(max(c)) != len(c) - 1: print(0) else: e = [] ...
output
1
81,826
3
163,653
Provide tags and a correct Python 3 solution for this coding contest problem. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the cons...
instruction
0
81,827
3
163,654
Tags: greedy Correct Solution: ``` def solve(n, m, a): answer = [(i + 1) for i in range(m)] for i in range(n - 1): pret = solve_two(m, a[i], a[n - 1]) if len(answer) > len(pret): answer = pret return answer def solve_two(m, a1, a0): dif = [] difsum = 0 for i in ra...
output
1
81,827
3
163,655
Provide tags and a correct Python 3 solution for this coding contest problem. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the cons...
instruction
0
81,828
3
163,656
Tags: greedy Correct Solution: ``` import copy from operator import itemgetter n, m = map(int, input().split()) a = [] for i in range(m): a.append([i] + [int(x) for x in input().split()]) b = [0 for x in range(n)] for i in range(m): for j in range(1, n + 1): b[j - 1] += a[i][j] #print(*a, sep='\n') #pri...
output
1
81,828
3
163,657
Provide tags and a correct Python 3 solution for this coding contest problem. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the cons...
instruction
0
81,829
3
163,658
Tags: greedy Correct Solution: ``` # Legends Always Come Up with Solution # Author: Manvir Singh import os import sys from io import BytesIO, IOBase def main(): n,m=map(int,input().split()) a=[list(map(int,input().split())) for _ in range(m)] c=list(map(lambda x:x[-1],a)) z=sum(c) mi=[0]*(n+1) ...
output
1
81,829
3
163,659
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there...
instruction
0
81,830
3
163,660
Yes
output
1
81,830
3
163,661
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there...
instruction
0
81,831
3
163,662
Yes
output
1
81,831
3
163,663
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there...
instruction
0
81,832
3
163,664
Yes
output
1
81,832
3
163,665
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there...
instruction
0
81,833
3
163,666
Yes
output
1
81,833
3
163,667
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there...
instruction
0
81,834
3
163,668
No
output
1
81,834
3
163,669
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there...
instruction
0
81,835
3
163,670
No
output
1
81,835
3
163,671
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there...
instruction
0
81,836
3
163,672
No
output
1
81,836
3
163,673
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there...
instruction
0
81,837
3
163,674
No
output
1
81,837
3
163,675
Provide tags and a correct Python 3 solution for this coding contest problem. A team of furry rescue rangers was sitting idle in their hollow tree when suddenly they received a signal of distress. In a few moments they were ready, and the dirigible of the rescue chipmunks hit the road. We assume that the action takes...
instruction
0
82,146
3
164,292
Tags: binary search, geometry, math Correct Solution: ``` # import sys # sys.stdin = open('cf591d.in') x1, y1, x2, y2 = map(int, input().split()) vmax, t = map(int, input().split()) vx, vy = map(int, input().split()) wx, wy = map(int, input().split()) c1x = x1 + vx * t c1y = y1 + vy * t r1 = t * vmax if (c1x - x2)**...
output
1
82,146
3
164,293
Provide tags and a correct Python 3 solution for this coding contest problem. A team of furry rescue rangers was sitting idle in their hollow tree when suddenly they received a signal of distress. In a few moments they were ready, and the dirigible of the rescue chipmunks hit the road. We assume that the action takes...
instruction
0
82,147
3
164,294
Tags: binary search, geometry, math Correct Solution: ``` f = lambda: list(map(int, input().split())) abs = lambda q: q[0] * q[0] + q[1] * q[1] dot = lambda: v[0] * d[0] + v[1] * d[1] get = lambda a, b, c: (b - (b * b - a * c) ** 0.5) / a p = f() d = [p[k + 2] - p[k] for k in [0, 1]] v, t = f() s = v * v ...
output
1
82,147
3
164,295
Provide tags and a correct Python 3 solution for this coding contest problem. A team of furry rescue rangers was sitting idle in their hollow tree when suddenly they received a signal of distress. In a few moments they were ready, and the dirigible of the rescue chipmunks hit the road. We assume that the action takes...
instruction
0
82,148
3
164,296
Tags: binary search, geometry, math Correct Solution: ``` import sys import math read = lambda: list(map(int, sys.stdin.readline().split())) x1, y1, x2, y2 = read() vmax, t1 = read() vx, vy = read() wx, wy = read() # Translate and scale x2, y2 = (x2-x1)/vmax, (y2-y1)/vmax vx, vy, wx, wy = vx/vmax, vy/vmax, wx/vmax, w...
output
1
82,148
3
164,297
Provide tags and a correct Python 3 solution for this coding contest problem. A team of furry rescue rangers was sitting idle in their hollow tree when suddenly they received a signal of distress. In a few moments they were ready, and the dirigible of the rescue chipmunks hit the road. We assume that the action takes...
instruction
0
82,149
3
164,298
Tags: binary search, geometry, math Correct Solution: ``` from math import sqrt import re class point2: def __init__(self, x, y): self.x = x self.y = y def length(self): return sqrt(self.x * self.x + self.y * self.y) def xmult(a, b): return a.x * b.y - a.y * b.x def dmult(a, b):...
output
1
82,149
3
164,299
Provide tags and a correct Python 3 solution for this coding contest problem. A team of furry rescue rangers was sitting idle in their hollow tree when suddenly they received a signal of distress. In a few moments they were ready, and the dirigible of the rescue chipmunks hit the road. We assume that the action takes...
instruction
0
82,150
3
164,300
Tags: binary search, geometry, math Correct Solution: ``` x1, y1, x2, y2 = map(float, input().split()) vMax, t = map(float, input().split()) vx, vy = map(float, input().split()) wx, wy = map(float, input().split()) def is_pos2(t1, t2): x1_n = x1+ vx*t1 y1_n = y1+ vy*t1 x2_n = x2- wx*t2 y2_n = y2- wy*t2 return (...
output
1
82,150
3
164,301