Submission #97447

# Submission time Handle Problem Language Result Execution time Memory
97447 2019-02-16T07:34:10 Z Kastanda Split the sequence (APIO14_sequence) C++11
100 / 100
1119 ms 81916 KB
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 100005, K = 205;
int n, k, lvl, w, P[K][N];
ll A[N], dp[2][N];
inline ll Get(int l, int r)
{
    return ((A[r] - A[l]) * (A[r] - A[l]));
}
void Solve(int l, int r, int le, int ri)
{
    if (r < l)
        return ;
    int md = (l + r) >> 1, opt = -1;
    ll Mn = 2e18;
    for (int i = le; i <= min(ri, md); i++)
        if (Mn >= Get(i - 1, md) + dp[!w][i - 1])
            Mn = Get(i - 1, md) + dp[!w][i - 1], opt = i;
    dp[w][md] = Mn;
    P[lvl][md] = opt - 1;
    Solve(l, md - 1, le, opt);
    Solve(md + 1, r, opt, ri);
}
int main()
{
    ll sum = 0;
    scanf("%d%d", &n, &k);
    for (int i = 1; i <= n; i++)
        scanf("%lld", &A[i]), A[i] += A[i - 1];
    memset(dp, 63, sizeof(dp)); dp[0][0] = 0;
    for (lvl = 1; lvl <= k + 1; lvl ++)
        w = lvl & 1, Solve(1, n, 1, n), dp[0][0] = 2e18;
    printf("%lld\n", (A[n] * A[n] - dp[w][n]) >> 1);
    vector < int > vec;
    for (int i = k + 1, nw = P[i][n]; i > 1; i--, nw = P[i][nw])
        vec.push_back(nw);
    reverse(vec.begin(), vec.end());
    for (int i : vec) printf("%d ", i);
    return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:27:8: warning: unused variable 'sum' [-Wunused-variable]
     ll sum = 0;
        ^~~
sequence.cpp:28:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d", &n, &k);
     ~~~~~^~~~~~~~~~~~~~~~
sequence.cpp:30:29: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld", &A[i]), A[i] += A[i - 1];
         ~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2048 KB contestant found the optimal answer: 108 == 108
2 Correct 4 ms 1920 KB contestant found the optimal answer: 999 == 999
3 Correct 4 ms 1920 KB contestant found the optimal answer: 0 == 0
4 Correct 4 ms 1920 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 3 ms 1920 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 4 ms 1920 KB contestant found the optimal answer: 1 == 1
7 Correct 4 ms 1920 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 1920 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 1920 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 4 ms 1792 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 1920 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 4 ms 1920 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 4 ms 1920 KB contestant found the optimal answer: 140072 == 140072
14 Correct 3 ms 1920 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 4 ms 1920 KB contestant found the optimal answer: 805 == 805
16 Correct 4 ms 1920 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 4 ms 1920 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2048 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 4 ms 1920 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 4 ms 2176 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 3 ms 2048 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 4 ms 1920 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 4 ms 1920 KB contestant found the optimal answer: 933702 == 933702
7 Correct 4 ms 2048 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 4 ms 1920 KB contestant found the optimal answer: 687136 == 687136
9 Correct 4 ms 1920 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 4 ms 2048 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2048 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 4 ms 1920 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 3072 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 4 ms 1920 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 2680 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 2944 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 5 ms 3072 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 4 ms 2176 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 6 ms 2176 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 4 ms 2176 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 4 ms 1920 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 4 ms 1912 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 3576 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 4 ms 1920 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 3584 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 12 ms 3328 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 3584 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 3712 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 5 ms 2176 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 2688 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 2176 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 2176 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 68 ms 10872 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 8 ms 2176 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 57 ms 7416 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 56 ms 8312 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 82 ms 8696 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 47 ms 7416 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 59 ms 8204 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 74 ms 9976 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 33 ms 4444 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 32 ms 4472 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 857 ms 81916 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 32 ms 4728 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1119 ms 81732 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 653 ms 58152 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 878 ms 62332 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 634 ms 51408 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 719 ms 58288 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 760 ms 73848 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845