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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#810435 | #978. Maximum Subsequence | rlc202204 | TL | 1883ms | 4472kb | C++14 | 3.1kb | 2024-12-11 22:28:53 | 2024-12-11 22:29:02 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int N = 20;
int n;
int a[N] = {0};
int b[N] = {0};
typedef pair<int, int> pii;
pii slv1(int *arr, int len) {
int ans = 0, dp = 0;
for (int i = 1; i <= len; i++) {
dp = max(arr[i], arr[i] + dp);
ans = max(ans, dp);
}
int mx = 0;
dp = 0;
for (int i = 1; i <= len; i++)
dp += arr[i], mx = max(mx, dp);
// for (int i = 1; i <= len; i++)
// cout << arr[i] << " ";
// cout << " ?? " << ans << " " << mx << endl;
return make_pair(ans, mx);
}
pii slv2(int *arr, int len) {
int ans = 0, dp = 0;
for (int i = 1; i <= len; i++) {
dp = max(arr[i], arr[i] + dp);
ans = max(ans, dp);
}
int mx = 0;
dp = 0;
for (int i = len; i >= 1; i--)
dp += arr[i], mx = max(mx, dp);
// for (int i = 1; i <= len; i++)
// cout << arr[i] << " ";
// cout << " ?? " << ans << " " << mx << endl;
return make_pair(ans, mx);
}
int p[N] = {0};
int tmp[N] = {0};
const int M = 5e4 + 5;
pii A[M], B[M];
pii C[M];
int ANS = 2e9;
void slv(pii *arr, int &len) {
sort(arr + 1, arr + len + 1);
int mn = 2e9, cur = 0;
for (int i = 1; i <= len; i++)
if (arr[i].second < mn)
mn = arr[i].second, C[++cur] = arr[i];
len = cur;
for (int i = 1; i <= cur; i++)
arr[i] = C[i];
}
int calc() {
int L = (n + 1) / 2;
int R = n - L;
int tl = 0;
for (int i = 1; i <= L; i++)
p[i] = i;
do {
for (int i = 1; i <= L; i++)
tmp[i] = a[p[i]];
pii ttt = slv2(tmp, L);
if (ttt.first <= ANS)
A[++tl] = ttt;
} while (next_permutation(p + 1, p + L + 1));
int tr = 0;
for (int i = 1; i <= R; i++)
p[i] = i;
do {
for (int i = 1; i <= R; i++)
tmp[i] = b[p[i]];
pii ttt = slv1(tmp, R);
if (ttt.first <= ANS)
B[++tr] = ttt;
} while (next_permutation(p + 1, p + R + 1));
// slv(A, tl);
// slv(B, tr);
sort(A + 1, A + tl + 1);
sort(B + 1, B + tr + 1);
int ans = 2e9;
for (int i = 1, j = 0, mn = 2e9; i <= tl; i++) {
while (j < tr && B[j + 1].first <= A[i].first)
j++, mn = min(mn, B[j].second);
if (j)
ans = min(ans, max(A[i].first, A[i].second + mn));
}
for (int i = 1, j = 0, mn = 2e9; i <= tr; i++) {
while (j < tl && A[j + 1].first <= B[i].first)
j++, mn = min(mn, A[j].second);
if (j)
ans = min(ans, max(B[i].first, B[i].second + mn));
}
return ans;
}
int arr[N] = {0};
int chose[N] = {0};
bool vis[N] = {false};
int tot = 0;
void dfs(int x) {
if (x > (n + 1) / 2) {
++tot;
if (n > 12 && tot % 11 != 0)
return;
for (int i = 1; i <= (n + 1) / 2; i++)
a[i] = arr[chose[i]];
for (int i = 1, j = 0; i <= n; i++)
if (!vis[i])
b[++j] = arr[i];
ANS = min(ANS, calc());
return;
}
for (int i = chose[x - 1] + 1; i <= n; i++) {
chose[x] = i;
vis[i] = true;
dfs(x + 1);
vis[i] = false;
if (x == 1)
return;
}
}
int main() {
//freopen("fund.out", "r", stdin);
scanf("%d", &n);
for (int i = 1; i <= n; i++)
scanf("%d", &arr[i]);
mt19937 myrand(time(0));
shuffle(arr + 1, arr + n + 1, myrand);
dfs(1);
cout << ANS << endl;
return 0;
}
/*
6
4 -4 5 -20 6 7
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3776kb
input:
4 1 -1 1 1
output:
2
result:
ok 1 number(s): "2"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
6 4 -4 5 -20 6 7
output:
9
result:
ok 1 number(s): "9"
Test #3:
score: 0
Accepted
time: 1183ms
memory: 4460kb
input:
16 74685 37459 -1863 43873 69565 11753 -27428 57636 -80511 13844 -20908 69580 4289 -99806 -75028 30372
output:
107512
result:
ok 1 number(s): "107512"
Test #4:
score: 0
Accepted
time: 525ms
memory: 4228kb
input:
15 67994 74589 99849 97649 27926 26555 1194 -98123 4315 58602 67384 53308 59247 -17522 95188
output:
618155
result:
ok 1 number(s): "618155"
Test #5:
score: 0
Accepted
time: 40ms
memory: 3772kb
input:
14 -16144 -8970 -61906 -89752 -82770 52954 9044 85641 -78467 -71326 91206 -72168 -67481 58209
output:
91206
result:
ok 1 number(s): "91206"
Test #6:
score: 0
Accepted
time: 598ms
memory: 4252kb
input:
15 88967 1252 94890 70842 94379 -43780 -23585 52697 93720 33707 -79062 93850 98030 68193 -96410
output:
547690
result:
ok 1 number(s): "547690"
Test #7:
score: 0
Accepted
time: 1856ms
memory: 4400kb
input:
16 -95394 27873 82707 -8091 22839 -22353 77819 17786 -20965 -17390 21878 2116 44799 -4573 16174 7845
output:
153070
result:
ok 1 number(s): "153070"
Test #8:
score: 0
Accepted
time: 968ms
memory: 4328kb
input:
16 73674 -66214 -39831 88784 42617 -75096 85579 1073 -55675 82743 -85078 -88198 12378 -14310 20005 33627
output:
88784
result:
ok 1 number(s): "88784"
Test #9:
score: 0
Accepted
time: 1243ms
memory: 4280kb
input:
16 -83517 -65495 8945 31495 -30343 94018 14500 -13614 68884 -45706 -18744 -67271 93093 -14098 -3592 -58773
output:
94018
result:
ok 1 number(s): "94018"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
6 -15003 -28170 -30377 81020 -44906 -21965
output:
81020
result:
ok 1 number(s): "81020"
Test #11:
score: 0
Accepted
time: 1233ms
memory: 4348kb
input:
16 -29848 4832 94117 -45241 1204 -99570 -10513 97070 48069 43198 -13260 41687 -57361 33422 -86646 -15135
output:
97070
result:
ok 1 number(s): "97070"
Test #12:
score: 0
Accepted
time: 564ms
memory: 4120kb
input:
15 -40154 98402 72394 -18077 89858 -8243 82205 85533 18703 99891 64337 -40784 82754 62837 78715
output:
728371
result:
ok 1 number(s): "728371"
Test #13:
score: 0
Accepted
time: 36ms
memory: 3900kb
input:
14 66250 -35079 -57181 19720 81648 35074 32470 58509 53389 -57108 -98486 10518 50384 -93648
output:
86765
result:
ok 1 number(s): "86765"
Test #14:
score: 0
Accepted
time: 1729ms
memory: 4472kb
input:
16 40899 86787 42827 46271 50611 5024 18935 -29778 -63775 50497 71624 66733 58611 11007 3100 95197
output:
554570
result:
ok 1 number(s): "554570"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
5 -45688 73098 -92315 33790 -13955
output:
73098
result:
ok 1 number(s): "73098"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3900kb
input:
3 98693 1701 31884
output:
132278
result:
ok 1 number(s): "132278"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
1 28298
output:
28298
result:
ok 1 number(s): "28298"
Test #18:
score: 0
Accepted
time: 540ms
memory: 4012kb
input:
15 11823 66662 -54420 37824 22297 92212 69303 -43475 29895 90424 46778 59451 -6719 73011 3205
output:
498271
result:
ok 1 number(s): "498271"
Test #19:
score: 0
Accepted
time: 660ms
memory: 4256kb
input:
15 10336 -51879 68382 87402 -30237 -62771 80927 -15568 -6831 38917 98576 -18210 20823 66361 -11231
output:
274997
result:
ok 1 number(s): "274997"
Test #20:
score: 0
Accepted
time: 1883ms
memory: 4332kb
input:
16 -35603 19466 4413 -9913 48173 31103 35653 91725 -92984 73019 78100 38659 53651 53436 37700 17258
output:
443856
result:
ok 1 number(s): "443856"
Test #21:
score: 0
Accepted
time: 56ms
memory: 3908kb
input:
14 92942 63046 76091 19008 62272 27814 85894 -8202 28803 70386 29703 72309 -8672 -29761
output:
581633
result:
ok 1 number(s): "581633"
Test #22:
score: -100
Time Limit Exceeded
input:
16 -50703 -66984 48586 -6141 -15903 -27332 57733 90767 46085 69464 68558 33327 89292 95868 62116 -72578