import sys
import math
towers_cnt, line_len = map(int, sys.stdin.readline().strip().split())
towers = [tuple(map(int, sys.stdin.readline().strip().split())) for _ in range(towers_cnt)]
def can_cover_whole_line(radius: float) -> bool:
curr = 0
for x, y in towers:
delta = math.sqrt(radius ** 2 - y ** 2)
a, b = x - delta, x + delta
if a <= curr: curr = max(curr, b)
return curr >= line_len
# total_dist = 0
# for x, height in towers:
# if height > radius: continue
# dist = math.sqrt(radius ** 2 - height ** 2)
# if x - dist <= total_dist <= x + dist:
# total_dist = x + dist
# return total_dist >= line_len
l, r = 0, 1.5e9
while r - l > 1e-3:
mid = (l + r) / 2
if can_cover_whole_line(radius=mid):
r = mid
else:
l = mid
print(l)
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
50 ms |
20100 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
62 ms |
20520 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
61 ms |
21896 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
67 ms |
21792 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
67 ms |
21784 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
69 ms |
21612 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
112 ms |
27708 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
116 ms |
28016 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
101 ms |
27696 KB |
Output is correct |
2 |
Correct |
128 ms |
27596 KB |
Output is correct |
3 |
Runtime error |
104 ms |
28452 KB |
Execution failed because the return code was nonzero |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
148 ms |
28664 KB |
Output is correct |
2 |
Correct |
136 ms |
29736 KB |
Output is correct |
3 |
Runtime error |
118 ms |
30192 KB |
Execution failed because the return code was nonzero |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
130 ms |
29176 KB |
Output is correct |
2 |
Correct |
135 ms |
29792 KB |
Output is correct |
3 |
Runtime error |
115 ms |
30124 KB |
Execution failed because the return code was nonzero |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
451 ms |
67268 KB |
Output is correct |
2 |
Correct |
522 ms |
67676 KB |
Output is correct |
3 |
Correct |
513 ms |
67620 KB |
Output is correct |
4 |
Runtime error |
402 ms |
68924 KB |
Execution failed because the return code was nonzero |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
542 ms |
67624 KB |
Output is correct |
2 |
Runtime error |
430 ms |
68428 KB |
Execution failed because the return code was nonzero |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
591 ms |
75852 KB |
Output is correct |
2 |
Correct |
623 ms |
76724 KB |
Output is correct |
3 |
Correct |
628 ms |
76872 KB |
Output is correct |
4 |
Runtime error |
436 ms |
77612 KB |
Execution failed because the return code was nonzero |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
639 ms |
76820 KB |
Output is correct |
2 |
Runtime error |
489 ms |
77516 KB |
Execution failed because the return code was nonzero |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
631 ms |
86944 KB |
Output is correct |
2 |
Correct |
751 ms |
86892 KB |
Output is correct |
3 |
Correct |
734 ms |
87312 KB |
Output is correct |
4 |
Runtime error |
499 ms |
88096 KB |
Execution failed because the return code was nonzero |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
743 ms |
87364 KB |
Output is correct |
2 |
Runtime error |
586 ms |
88188 KB |
Execution failed because the return code was nonzero |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
698 ms |
95088 KB |
Output is correct |
2 |
Correct |
855 ms |
96068 KB |
Output is correct |
3 |
Runtime error |
556 ms |
96836 KB |
Execution failed because the return code was nonzero |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
832 ms |
95908 KB |
Output is correct |
2 |
Runtime error |
653 ms |
96836 KB |
Execution failed because the return code was nonzero |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
855 ms |
113928 KB |
Output is correct |
2 |
Execution timed out |
1073 ms |
115000 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1042 ms |
114704 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |