from heapq import heappush, heappop
from collections import namedtuple
from copy import copy
Shard = namedtuple('Shard', ['score', 'best', 'forced', 'forbitten'])
n, k, c = [int(x) for x in input().split(' ')]
scores = [[int(x) for x in input().split(' ')] for i in range(n)]
def pairwise_max(a, b):
return [max(a[i], b[i]) for i in range(len(a))]
def evaluate_shard(shard):
best = []
event_best = [0] * k
for x in shard.forced:
best.append(x)
for i in range(len(shard.forced), k):
best.append(-1)
for j in range(n):
if not shard.forbitten[j] and j not in best:
if best[i] == -1 or scores[j][i] > scores[best[i]][i]:
best[i] = j
for c in best:
event_best = pairwise_max(event_best, scores[c])
return(Shard(-sum(event_best), best, shard.forced, shard.forbitten))
heap = [Shard(0, [], [], [False]*n)]
heap[0] = evaluate_shard(heap[0])
results = []
while len(results) < c:
top = heappop(heap)
results.append(-top.score)
new_forced = copy(top.forced)
new_forbitten = copy(top.forbitten)
for i in range(len(top.forced), k):
new_forbitten[top.best[i]] = True
new_shard = evaluate_shard(Shard(0, [], copy(new_forced), copy(new_forbitten)))
if -1 not in new_shard.best:
heappush(heap, new_shard)
new_forced.append(top.best[i])
print(results[c-1])
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
452 ms |
4316 KB |
Output is correct |
2 |
Correct |
522 ms |
4420 KB |
Output is correct |
3 |
Correct |
468 ms |
4188 KB |
Output is correct |
4 |
Correct |
379 ms |
4220 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
215 ms |
4924 KB |
Output is correct |
2 |
Correct |
147 ms |
4196 KB |
Output is correct |
3 |
Correct |
309 ms |
5988 KB |
Output is correct |
4 |
Correct |
268 ms |
5304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
612 ms |
4320 KB |
Output is correct |
2 |
Correct |
462 ms |
4192 KB |
Output is correct |
3 |
Execution timed out |
2052 ms |
13152 KB |
Time limit exceeded |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
452 ms |
4316 KB |
Output is correct |
2 |
Correct |
522 ms |
4420 KB |
Output is correct |
3 |
Correct |
468 ms |
4188 KB |
Output is correct |
4 |
Correct |
379 ms |
4220 KB |
Output is correct |
5 |
Correct |
215 ms |
4924 KB |
Output is correct |
6 |
Correct |
147 ms |
4196 KB |
Output is correct |
7 |
Correct |
309 ms |
5988 KB |
Output is correct |
8 |
Correct |
268 ms |
5304 KB |
Output is correct |
9 |
Correct |
612 ms |
4320 KB |
Output is correct |
10 |
Correct |
462 ms |
4192 KB |
Output is correct |
11 |
Execution timed out |
2052 ms |
13152 KB |
Time limit exceeded |
12 |
Halted |
0 ms |
0 KB |
- |