답안 #231913

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
231913 2020-05-15T09:45:51 Z parsa_mobed 수열 (APIO14_sequence) C++14
100 / 100
1602 ms 82680 KB
#include <bits/stdc++.h>

using namespace std;
const int N = 1e5 + 5, K = 201;
int a[N], par[N][K], lvl;
long long dp[N][2], C[N], ps[N];

long long Cost(int l, int r) {return C[r] - C[l - 1] - (ps[r] - ps[l - 1]) * ps[l - 1];}
void Solve(int s, int e, int l, int r) {
    if (s == e) return ;
    int mid = (s+e)>>1, pos = l;
    dp[mid][lvl&1] = dp[l - 1][lvl&1^1] + Cost(l, mid);
    for (int i = l + 1; i <= min(mid, r); i++)
        if (dp[i - 1][lvl&1^1] + Cost(i, mid) <= dp[mid][lvl&1]) dp[mid][lvl&1] = dp[i - 1][lvl&1^1] + Cost(i, mid), pos = i;
    par[mid][lvl] = pos - 1;
    Solve(s, mid, l, pos), Solve(mid + 1, e, pos, r);
}

int main() {
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    int n, k; cin >> n >> k;
    for (int i = 1; i <= n; i++) cin >> a[i], dp[i][0] = C[i] = C[i - 1] + a[i] * ps[i - 1], ps[i] = ps[i - 1] + a[i];
    for (lvl = 1; lvl <= k; lvl++) Solve(1, n + 1, 1, n);
    cout << C[n] - dp[n][k&1] << "\n";
    vector <int> ans;
    while (par[n][k]) ans.push_back(n = par[n][k]), k--;
    reverse(ans.begin(), ans.end());
    for (int i : ans) cout << i << " ";
    cout << "\n";

    return 0;
}

Compilation message

sequence.cpp: In function 'void Solve(int, int, int, int)':
sequence.cpp:12:35: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
     dp[mid][lvl&1] = dp[l - 1][lvl&1^1] + Cost(l, mid);
                                ~~~^~
sequence.cpp:14:26: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
         if (dp[i - 1][lvl&1^1] + Cost(i, mid) <= dp[mid][lvl&1]) dp[mid][lvl&1] = dp[i - 1][lvl&1^1] + Cost(i, mid), pos = i;
                       ~~~^~
sequence.cpp:14:96: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
         if (dp[i - 1][lvl&1^1] + Cost(i, mid) <= dp[mid][lvl&1]) dp[mid][lvl&1] = dp[i - 1][lvl&1^1] + Cost(i, mid), pos = i;
                                                                                             ~~~^~
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 4 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 256 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 5 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 4 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 256 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 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 4 ms 384 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 4 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 384 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 4 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
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 512 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 512 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 512 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 4 ms 512 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 512 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 512 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 512 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 512 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 512 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 1152 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 1152 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 1152 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 1152 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 1152 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 ms 1152 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 1152 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 11 ms 1152 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 1152 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 8576 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 11 ms 8576 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 84 ms 8628 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 10 ms 8576 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 67 ms 8576 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 65 ms 8576 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 81 ms 8576 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 60 ms 8704 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 70 ms 8576 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 81 ms 8576 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 69 ms 82552 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 68 ms 82552 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1528 ms 82580 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 68 ms 82552 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1602 ms 82604 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1063 ms 82552 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1181 ms 82680 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 962 ms 82552 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1131 ms 82572 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1379 ms 82680 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845