QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#676710 | #8790. First Billion | malkovsky | TL | 1196ms | 54880kb | Python3 | 2.0kb | 2024-10-25 23:24:09 | 2024-10-25 23:24:11 |
Judging History
answer
def knapsap_mod(nums):
mods = [1001, 2003, 1003, 1997]
targets = [1000000000 % mod for mod in mods]
dp = [[[0, 0, 0, 0] for i in range(2003)] for _ in range(len(nums) + 1)]
dp[0][0][0] = 1
dp[0][0][1] = 1
dp[0][0][2] = 1
dp[0][0][3] = 1
for i in range(len(nums)):
for k in range(4):
for j in range(mods[k]):
if dp[i][j][k] == 1:
dp[i + 1][(j + nums[i]) % mods[k]][k] = 1
dp[i + 1][j][k] = 1
n = len(nums)
valid = {tuple(targets): []}
while n > 0:
new_valid = dict()
# print(nums[n - 1])
# print(len(valid))
for valid_tuple, result in valid.items():
left = tuple([(target + (mod - (nums[n - 1] % mod))) % mod for target, mod in zip(valid_tuple, mods)])
ok = max([dp[n - 1][valid_tuple[k]][k] for k in range(4)])
if ok == 1:
new_valid[valid_tuple] = [x for x in result]
ok = max([dp[n - 1][left[k]][k] for k in range(4)])
if ok == 1:
result.append(n - 1)
new_valid[left] = [x for x in result]
n -= 1
valid = new_valid
# print(sorted(valid))
# if (0, 0, 0, 0) in valid:
# print(valid[(0, 0, 0, 0)])
return valid[(0, 0, 0, 0)]
def __main__():
n = int(input())
numbers = list(map(int, input().split()))
target = 1000000000
# print(target % 1001, target % 1003, target % 2003)
answer = []
result = knapsap_mod(numbers)
# print(result, sum([numbers[i] for i in result]))
# print(sum([numbers[i] for i in result]) % 1001, sum([numbers[i] for i in result]) % 1003, sum([numbers[i] for i in result]) % 2003)
if sum([numbers[i] for i in result]) == target:
answer = result
# print(num_at_least_k)
print(len(answer), end=" ")
for num in answer:
print(num + 1, end=" ")
__main__()
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 12ms
memory: 12784kb
input:
10 386413329 88494216 245947398 316438989 192751270 204627269 65749456 3938400 150458676 345180997
output:
5 10 8 4 3 2
result:
ok OK (n = 10)
Test #2:
score: 0
Accepted
time: 18ms
memory: 12784kb
input:
10 119486233 299942886 169540407 349937991 597883752 32230162 140514533 57341098 12602102 220520836
output:
5 10 7 4 3 1
result:
ok OK (n = 10)
Test #3:
score: 0
Accepted
time: 13ms
memory: 13616kb
input:
14 384615281 84612238 83310504 54746763 142296081 56775470 128760350 343006424 177232390 214368720 67220468 21895072 16352717 224807522
output:
7 14 11 8 5 4 3 2
result:
ok OK (n = 14)
Test #4:
score: 0
Accepted
time: 27ms
memory: 13716kb
input:
14 270208635 14270307 89661499 113578022 47687195 101043954 38775146 208193324 650676076 351701957 3427619 59535626 24230888 27009752
output:
7 14 13 11 9 8 7 5
result:
ok OK (n = 14)
Test #5:
score: 0
Accepted
time: 81ms
memory: 17268kb
input:
20 61638928 106712373 5946815 178135484 4937573 111395400 15504655 67139983 101814514 312223647 130341028 43244171 37671364 54108486 337181317 37924824 153793862 70383750 102917244 66984582
output:
10 20 19 17 16 15 7 6 3 2 1
result:
ok OK (n = 20)
Test #6:
score: 0
Accepted
time: 79ms
memory: 17116kb
input:
20 67858098 61231428 99398662 1883806 82465954 303619377 87516412 154956240 94872199 76508350 13276828 136541811 203282099 99160366 127539385 13364660 141176136 39751629 67888657 127707903
output:
10 20 19 18 16 15 10 9 7 6 2
result:
ok OK (n = 20)
Test #7:
score: 0
Accepted
time: 1158ms
memory: 54772kb
input:
24 17125795 281143405 10375259 196293002 158174864 34520650 52919232 87393970 99085271 62281508 67168428 55174991 54533464 51393059 89276370 41441658 72793517 30466999 73758332 97064918 111541434 142047546 12934221 101092107
output:
12 24 21 16 14 12 11 9 8 7 6 2 1
result:
ok OK (n = 24)
Test #8:
score: 0
Accepted
time: 1196ms
memory: 54880kb
input:
24 70224368 148769600 36654748 23404220 15009825 57449487 46896672 6065662 10377031 133719710 23220853 184445684 8462667 88501546 155244839 229323557 140109402 52520271 78995771 75721556 87987586 118427778 107013825 101453342
output:
12 24 22 18 16 15 14 13 9 8 6 4 2
result:
ok OK (n = 24)
Test #9:
score: -100
Time Limit Exceeded
input:
28 122321206 60841271 22767116 183943582 6247754 32767541 19129802 21313874 144503909 59360441 12259051 19044256 50267333 25766572 133411289 32253746 102412217 46186594 55413161 39907615 52325783 86862071 185310732 138228874 22000146 149813853 98156445 77183766