답안 #446097

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
446097 2021-07-20T22:08:57 Z aryan12 수열 (APIO14_sequence) C++17
100 / 100
1420 ms 81836 KB
#include <bits/stdc++.h>
using namespace std;

mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
const int N = 1e5 + 5, K = 205;
long long dp[2][N], a[N];
int comeFrom[K][N];
int n, k;

void dnc(int l, int r, int col, int bestL, int bestR) {
    if(l > r) {
        return;
    }
    int mid = (l + r) >> 1;
    int pos = col & 1;
    pair<long long, long long> ans = {-1, -1};
    for(int i = bestL; i < min(mid, bestR + 1); i++) {
        long long val = dp[1 - pos][i] + (a[n] - a[mid]) * (a[mid] - a[i]);
        if(val > ans.first) {
            ans = {val, i};
        }
    }
    dp[pos][mid] = ans.first;
    //cout << "col = " << col << ", mid = " << mid << ", ans.first = " << ans.first << "\n";
    comeFrom[col][mid] = ans.second;
    dnc(l, mid - 1, col, bestL, ans.second);
    dnc(mid + 1, r, col, ans.second, bestR);
}

void Solve() {
    cin >> n >> k;
    for(int i = 1; i <= n; i++) {
        cin >> a[i];
        a[i] += a[i - 1];
    }
    for(int j = 0; j <= n; j++) {
        for(int i = 0; i <= k; i++) {
            comeFrom[i][j] = -1;
        }
        dp[0][j] = -1;
        dp[1][j] = -1;
    }
    dp[0][0] = 0;
    for(int i = 1; i <= k; i++) {
        dnc(i, n, i, i - 1, n - 1);
    }
    pair<long long, int> ans = {-1, -1};
    for(int i = 1; i <= n; i++) {
        if(ans.first < dp[k & 1][i]) {
            ans = {dp[k & 1][i], i};
        }
    }
    cout << ans.first << "\n";
    while(k != 0 && ans.second != -1) {
        cout << ans.second << " ";
        ans.second = comeFrom[k--][ans.second];
    }
    cout << "\n";
}

int32_t main() {
    auto begin = std::chrono::high_resolution_clock::now();
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int t = 1;
    //cin >> t;
    while(t--) {
        Solve();
    }
    auto end = std::chrono::high_resolution_clock::now();
    auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
    cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n"; 
    return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 588 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 460 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 332 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 1356 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1100 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1228 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1356 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 588 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 588 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 332 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 6 ms 2092 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1996 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 1740 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 2108 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 1996 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 716 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 972 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 716 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 716 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 73 ms 9292 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 716 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 74 ms 5836 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 72 ms 6744 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 69 ms 7116 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 42 ms 5836 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 63 ms 6732 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 85 ms 8396 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 25 ms 4172 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 25 ms 4176 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 720 ms 81836 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 21 ms 4700 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1420 ms 81524 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 893 ms 58040 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 696 ms 62244 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 480 ms 51168 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 677 ms 58188 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 929 ms 73848 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845