Submission #170298

# Submission time Handle Problem Language Result Execution time Memory
170298 2019-12-24T14:37:24 Z Kastanda Split the sequence (APIO14_sequence) C++11
100 / 100
1045 ms 81432 KB
// In The Name Of The Queen
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 100005, K = 209;
int n, k, lvl, 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, int j)
{
    if (r < l) return ;
    int md = l + r >> 1, opt = -1;
    dp[j][md] = (ll)2e18;
    for (int i = le; i <= min(ri, md); i ++)
        if (dp[j][md] >= dp[!j][i - 1] + Get(i - 1, md))
            dp[j][md] = dp[!j][i - 1] + Get(i - 1, md), opt = i;
    P[lvl][md] = opt - 1;
    Solve(l, md - 1, le, opt, j);
    Solve(md + 1, r, opt, ri, j);
}
int main()
{
    scanf("%d%d", &n, &k); 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; lvl ++)
        Solve(1, n, 1, n, lvl & 1), dp[0][0] = (ll)2e18;
    printf("%lld\n", (A[n] * A[n] - dp[k & 1][n]) / 2);
    vector < int > V;
    for (; k > 1; k --)
        V.push_back(P[k][n]), n = P[k][n];
    reverse(V.begin(), V.end());
    for (int i : V)
        printf("%d ", i);
    return 0;
}

Compilation message

sequence.cpp: In function 'void Solve(int, int, int, int, int)':
sequence.cpp:15:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
     int md = l + r >> 1, opt = -1;
              ~~^~~
sequence.cpp: In function 'int main()':
sequence.cpp:26:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d", &n, &k); k ++;
     ~~~~~^~~~~~~~~~~~~~~~
sequence.cpp:28:29: 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 3 ms 1912 KB contestant found the optimal answer: 108 == 108
2 Correct 3 ms 1912 KB contestant found the optimal answer: 999 == 999
3 Correct 3 ms 1912 KB contestant found the optimal answer: 0 == 0
4 Correct 3 ms 1912 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 3 ms 1912 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 3 ms 1784 KB contestant found the optimal answer: 1 == 1
7 Correct 3 ms 1912 KB contestant found the optimal answer: 1 == 1
8 Correct 3 ms 1912 KB contestant found the optimal answer: 1 == 1
9 Correct 3 ms 1912 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 3 ms 1912 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 3 ms 1912 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 3 ms 1912 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 3 ms 1912 KB contestant found the optimal answer: 140072 == 140072
14 Correct 3 ms 1912 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 3 ms 1912 KB contestant found the optimal answer: 805 == 805
16 Correct 3 ms 1912 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 3 ms 1916 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1912 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 3 ms 1912 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 3 ms 2172 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 3 ms 1912 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 3 ms 1912 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 3 ms 1912 KB contestant found the optimal answer: 933702 == 933702
7 Correct 3 ms 2040 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 3 ms 1912 KB contestant found the optimal answer: 687136 == 687136
9 Correct 3 ms 1912 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 3 ms 2040 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1912 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 1912 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 2936 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 3 ms 1912 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 2680 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 5 ms 2936 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 8 ms 3064 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 4 ms 2168 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 2040 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 4 ms 2168 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1912 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 1916 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 3704 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 1912 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 3704 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 3448 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 3704 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 3704 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 5 ms 2296 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 2680 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 2168 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 2168 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 69 ms 10748 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 2168 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 61 ms 7292 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 60 ms 8184 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 74 ms 8540 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 51 ms 7416 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 57 ms 8108 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 72 ms 9976 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 31 ms 4216 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 30 ms 4216 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 710 ms 81324 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 41 ms 4344 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1045 ms 81432 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 627 ms 57848 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 766 ms 61828 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 545 ms 50892 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 571 ms 57972 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 727 ms 73732 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845