Submission #219294

# Submission time Handle Problem Language Result Execution time Memory
219294 2020-04-05T05:22:12 Z ToMmyDong Split the sequence (APIO14_sequence) C++11
100 / 100
1072 ms 81528 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const int MAXN = 100005;
const int MAXK = 202;

int n, k ,a[MAXN], p[MAXN];
ll dp[2][MAXN];
int tr[MAXK][MAXN];

void chmx (int &x, int y) {
    x = x > y ? x : y;
}

void tran (int i, int j, int l) {
    ll nw = dp[(l&1)^1][j] + 1LL * (p[i] - p[j]) * p[j];
    if (dp[l&1][i] <= nw) {
        tr[l][i] = j;
        dp[l&1][i] = nw;
    }
}

void solve (int nL, int nR, int tL, int tR, int kd) {
    if (nL > nR) {
        return;
    }
    if (tL == tR) {
        for (int i=nL; i<=nR; i++) {
            tran(i, tL, kd);
        }
    } else {
        int nM = (nL + nR) >> 1;
        for (int i=tL; i<=min(tR, nM-1); i++) {
            tran(nM, i, kd);
        }
        solve(nL, nM-1, tL, tr[kd][nM], kd);
        solve(nM+1, nR, tr[kd][nM], tR, kd);
    }
}

int main () {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    cin >> n >> k;
    for (int i=1; i<=n; i++) {
        cin >> a[i];
        p[i] = a[i] + p[i-1];
    }

    for (int i=1; i<=k; i++) {
        solve(1, n, 0, n, i);
    }

    cout << dp[k&1][n] << endl;

    for (int i=k; i>=1; i--) {
        cout << tr[i][n] << " \n"[i==1];
        n = tr[i][n];
    }

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 4 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 4 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 5 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 4 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 4 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 1408 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 6 ms 692 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 2176 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 ms 1920 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 13 ms 2176 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 11 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 77 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 60 ms 5880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 53 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 73 ms 7160 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 52 ms 6008 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 64 ms 6776 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 74 ms 8568 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 29 ms 4088 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 29 ms 4096 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 772 ms 81528 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 32 ms 4344 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1072 ms 81272 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 558 ms 57720 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 763 ms 62016 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 557 ms 50936 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 598 ms 57976 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 769 ms 73592 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845