Submission #34090

# Submission time Handle Problem Language Result Execution time Memory
34090 2017-11-07T06:15:08 Z DoanPhuDuc Split the sequence (APIO14_sequence) C++
100 / 100
1659 ms 86788 KB
#include <bits/stdc++.h>

#define FOR(x, a, b) for (int x = a; x <= b; ++x)
#define FOD(x, a, b) for (int x = a; x >= b; --x)
#define REP(x, a, b) for (int x = a; x < b; ++x)
#define DEBUG(X) { cout << #X << " = " << X << endl; }
#define PR(A, n) { cout << #A << " = "; FOR(_, 1, n) cout << A[_] << " "; cout << endl; }
#define PR0(A, n)  { cout << #A << " = "; REP(_, 0, n) cout << A[_] << " "; cout << endl; }
#define BitCount(x) __builtin_popcount(x)

using namespace std;

typedef long long LL;

const int N = 1e5 + 10;
const int M = 2e2 + 10;
const int INF = 2e9 + 10;

int n, m, ansSize = 0;
int a[N], ans[N];

int S[N];
int tr[M][N];

LL dp[2][N];

void Compute(int p, int l, int r, int u, int v) {
    if (l > r) return;
    int m = (l + r) >> 1;
    int nxt = p & 1, pre = nxt ^ 1;
    if (p < m) {
        int x = max(u, p), y = min(m - 1, v), best = -1;
        FOR(i, x, y)
            if (dp[nxt][m] < dp[pre][i] + (LL)S[i] * (S[m] - S[i])) {
                dp[nxt][m] = dp[pre][i] + (LL)S[i] * (S[m] - S[i]);
                tr[p][m] = i;
                best = i;
            }
        Compute(p, l, m - 1, u, best);
        Compute(p, m + 1, r, best, v);
    } else {
        Compute(p, l, m - 1, u, v);
        Compute(p, m + 1, r, u, v);
    }
}

int main() {
    #ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    #endif // LOCAL
    scanf("%d%d", &n, &m);
    FOR(i, 1, n) scanf("%d", &a[i]);
    FOR(i, 1, n) S[i] = S[i - 1] + a[i];

    FOR(i, 1, n) dp[0][i] = 0;
    FOR(i, 1, m) {
        FOR(j, 0, n) dp[i & 1][j] = -INF;
        Compute(i, 1, n, 1, n);
    }
    printf("%lld\n", dp[m & 1][n]);
    while (tr[m][n] != 0) {
        ans[++ansSize] = tr[m][n];
        n = tr[m][n]; --m;
    }
    FOD(i, ansSize, 1) printf("%d ", ans[i]);
    return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:52:26: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d", &n, &m);
                          ^
sequence.cpp:53:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     FOR(i, 1, n) scanf("%d", &a[i]);
                                    ^
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86788 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 86788 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 86788 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 86788 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 86788 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 86788 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 86788 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 86788 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 86788 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 86788 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 86788 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 86788 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 86788 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 86788 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 86788 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 86788 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 86788 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86788 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 86788 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 86788 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 86788 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 86788 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 86788 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 86788 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 86788 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 86788 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 86788 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86788 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 86788 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 86788 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 86788 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 86788 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 86788 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 86788 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 86788 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 86788 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 86788 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 86788 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 86788 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 86788 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 86788 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 86788 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 86788 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 86788 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 3 ms 86788 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 86788 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 86788 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 86788 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 0 ms 86788 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 73 ms 86788 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 0 ms 86788 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 86 ms 86788 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 79 ms 86788 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 73 ms 86788 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 49 ms 86788 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 73 ms 86788 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 89 ms 86788 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 33 ms 86788 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 29 ms 86788 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 793 ms 86788 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 86788 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1659 ms 86788 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1008 ms 86788 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 883 ms 86788 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 596 ms 86788 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 863 ms 86788 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1099 ms 86788 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845