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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#673992#8022. WalkertyTL 120ms58452kbJava111.3kb2024-10-25 12:57:022024-10-25 12:57:03

Judging History

This is the latest submission verdict.

  • [2024-10-25 12:57:03]
  • Judged
  • Verdict: TL
  • Time: 120ms
  • Memory: 58452kb
  • [2024-10-25 12:57:02]
  • Submitted

answer


import java.util.Scanner;

public class Main {
	
	public static double cal(double n,double x,double vx,double y,double vy,double mid) {
		double l1 = Math.min((mid-x + mid)/vx,(x*2 + mid-x)/vx);
		double l2 = Math.min((y-mid + n - mid)/vy,(n-y + n-mid)/vy);
		
		return Math.max(l1,l2);
	}
	
	public static void main(String[] arg) {
		Scanner input = new Scanner(System.in);
		
		int caset = input.nextInt();
		double eps = 0.000001;
		
		while(caset > 0) {
			caset--;
			
			double n = input.nextDouble();
			double x = input.nextDouble();
			double vx = input.nextDouble();
			double y = input.nextDouble();
			double vy = input.nextDouble();
			
			if(x > y) {
				double c = x;
				double vc = vx;
				x = y;
				vx = vy;
				y = c;
				vy = vc;
			}
			
			double t1 = Math.max((n-x)/vx,y/vy);
			double t2 = (x + n-y + n)/(vx + vy);
			double t3 = Math.min((Math.min(x,n-x) + n)/vx,(Math.min(y,n-y) + n)/vy);
			
			double l = x;
			double r = y;
			
			while(r - l > eps) {
				double mid = (l+r)/2;
				
				if(cal(n,x,vx,y,vy,mid-eps) < cal(n,x,vx,y,vy,mid+eps)) r = mid;
				else l = mid;
			}
			
			double mid = (l+r)/2;
			
			double ans = Math.min(t1,t2);
			ans = Math.min(ans,t3);
			ans = Math.min(ans,cal(n,x,vx,y,vy,mid));
			
			System.out.printf("%.5f\n",ans);
			
		}
		
		
		
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 114ms
memory: 54148kb

input:

2
10000.0 1.0 0.001 9999.0 0.001
4306.063 4079.874 0.607 1033.423 0.847

output:

5001000.00000
3827.83700

result:

ok 2 numbers

Test #2:

score: 0
Accepted
time: 97ms
memory: 54212kb

input:

1
10.0 1.0 10.0 9.0 0.1

output:

1.10000

result:

ok found '1.1000000', expected '1.1000000', error '0.0000000'

Test #3:

score: 0
Accepted
time: 105ms
memory: 56744kb

input:

1
10.0 8.0 10.0 9.0 0.1

output:

1.20000

result:

ok found '1.2000000', expected '1.2000000', error '0.0000000'

Test #4:

score: 0
Accepted
time: 98ms
memory: 56380kb

input:

1
10.0 8.0 0.1 9.0 10

output:

1.10000

result:

ok found '1.1000000', expected '1.1000000', error '0.0000000'

Test #5:

score: 0
Accepted
time: 107ms
memory: 56100kb

input:

1
10.0 2.0 0.1 3.0 10

output:

1.30000

result:

ok found '1.3000000', expected '1.3000000', error '0.0000000'

Test #6:

score: 0
Accepted
time: 112ms
memory: 55464kb

input:

1
10.0 9.0 0.1 8.0 10.0

output:

1.20000

result:

ok found '1.2000000', expected '1.2000000', error '0.0000000'

Test #7:

score: 0
Accepted
time: 120ms
memory: 58424kb

input:

1
10.0 4.0 0.1 6.0 0.1

output:

60.00000

result:

ok found '60.0000000', expected '60.0000000', error '0.0000000'

Test #8:

score: 0
Accepted
time: 114ms
memory: 54396kb

input:

1
10.0 4.5 0.1 6.0 0.1

output:

57.50000

result:

ok found '57.5000000', expected '57.5000000', error '0.0000000'

Test #9:

score: 0
Accepted
time: 107ms
memory: 58236kb

input:

1
10.0 1.0 1.0 8.0 1.0

output:

6.50000

result:

ok found '6.5000000', expected '6.5000000', error '0.0000000'

Test #10:

score: 0
Accepted
time: 112ms
memory: 54476kb

input:

1
10.0 3.0 2.0 7.0 1.0

output:

4.60000

result:

ok found '4.6000000', expected '4.6000000', error '0.0000000'

Test #11:

score: 0
Accepted
time: 105ms
memory: 54264kb

input:

1
10.0 6.0 2.0 7.0 1.0

output:

3.66667

result:

ok found '3.6666700', expected '3.6666667', error '0.0000009'

Test #12:

score: 0
Accepted
time: 94ms
memory: 57360kb

input:

1
10.0 1.0 1.0 9.0 1.0

output:

6.00000

result:

ok found '6.0000000', expected '6.0000000', error '0.0000000'

Test #13:

score: 0
Accepted
time: 117ms
memory: 54724kb

input:

1
10000.0 1.0 0.001 1.0 0.001

output:

9999000.00000

result:

ok found '9999000.0000000', expected '9999000.0000000', error '0.0000000'

Test #14:

score: 0
Accepted
time: 94ms
memory: 58452kb

input:

1
10.0 5.0 1.0 5.0 1.5

output:

5.00000

result:

ok found '5.0000000', expected '5.0000000', error '0.0000000'

Test #15:

score: -100
Time Limit Exceeded

input:

10000
4306.063 4079.874 0.607 1033.423 0.847
8967.336 8026.500 0.398 283.019 0.876
9568.147 4481.616 0.405 800.114 0.684
9867.264 6184.040 0.312 9853.164 0.641
3344.364 730.612 0.539 1305.868 0.947
9336.180 3672.113 0.773 432.686 0.312
1468.243 59.762 0.840 1438.446 0.827
1355.133 1096.314 0.373 109...

output:

3827.83700
7999.36499
12559.33580
15371.55070
2637.69852
9931.04152
934.49430
2939.17962
5754.03289
2847.42716
10975.32363
2180.27861
23747.04545
6278.10356
872.39771
10734.39564
1005.07703
20225.16309
9878.00995
22899.25927
12241.08593
33365.47620
3153.05873
11691.59763
20162.71115
6052.69672
5846....

result: