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:
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, 2 * 10 ** 9
while not math.isclose(l, r):
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 |
14 ms |
2772 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
13 ms |
2900 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
50 ms |
3128 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
90 ms |
3488 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
76 ms |
3540 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
157 ms |
3372 KB |
Output is correct |
2 |
Incorrect |
121 ms |
3540 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1038 ms |
12960 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
986 ms |
13192 KB |
Execution failed because the return code was nonzero |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1073 ms |
11936 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1049 ms |
16340 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1042 ms |
16460 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1053 ms |
54512 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1054 ms |
70444 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1049 ms |
64916 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1078 ms |
84012 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1056 ms |
75196 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1066 ms |
97576 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1078 ms |
85572 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1054 ms |
111064 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1026 ms |
106232 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
893 ms |
131072 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |