답안 #737624

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
737624 2023-05-07T12:44:05 Z PenguinsAreCute 수열 (APIO14_sequence) C++17
71 / 100
81 ms 131072 KB
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
#define int long long
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define LL_MAX LONG_LONG_MAX
#define LL_MIN LONG_LONG_MIN
#define speed ios_base::sync_with_stdio(false); cin.tie(0)
#define stMx(a,b) a = max(a,b)
#define stMn(a,b) a = min(a,b)
typedef pair<int,int> ii;
typedef pair<ii,int> iii;
typedef vector<int> vi;
typedef set<int> si;
typedef vector<ii> vii;
typedef set<ii> sii;
#define REP(i, a, b) for(int i = a; i < b; i++)
#define float long double
deque<iii> dq;
int f(ii line, int x) {
    return line.fi * x + line.se;
}
ii query(int x) {
    while(dq.size() > 1) {
        if(f(dq[0].fi, x) <= f(dq[1].fi, x)) dq.pop_front();
        else break;
    }
    return mp(f(dq[0].fi, x),dq[0].se);
}
float intersect(int a, int b, int c, int d) {
    return (float)(d - b) / (a - c);
}
float intersect(ii p1, ii p2) {
    return intersect(p1.fi, p1.se, p2.fi, p2.se);
}
void ins(int m, int c, int idx) {
    ii line = ii(m, c);
    while(dq.size() > 1) {
        int s = dq.size();
        if(intersect(dq[s - 1].fi, line) <= intersect(dq[s - 2].fi, line)) dq.pop_back();
        else break;
    }
    dq.push_back(mp(line,idx));
}
int32_t main() {
	speed;
    int n, k; cin >> n >> k; int x[n + 1]; x[0] = 0;
    REP(i, 1, n + 1) {
        cin >> x[i];
        x[i] += x[i - 1];
    }
    pair<int,int> dp[k + 1][n + 1];
    REP(i, 0, n + 1) dp[0][i] = mp(0,0);
    REP(i, 1, k + 1) dp[i][0] = mp(0,0);
    REP(j, 1, k + 1) {
        while(!dq.empty()) dq.pop_back();
        ins(0, 0, 0);
        REP(i, 1, n + 1) {
            dp[j][i] = query(x[i]);
            ins(x[i], dp[j - 1][i].fi - x[i] * x[i], i);
        }
    }
    cout << dp[k][n].fi << "\n"; int cur = n;
    for(int i = k; i > 0; i--) {
        cout << dp[i][cur].se << " ";
        cur = dp[i][cur].se;
    }
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 316 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 212 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 328 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 212 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 212 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 316 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 320 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 212 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 212 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 324 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 212 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 320 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 212 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 212 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 328 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 212 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 212 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 340 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 212 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 212 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 212 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 212 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 292 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 320 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 212 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 316 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 852 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 212 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 700 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 884 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 852 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 340 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 324 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 448 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 340 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 3412 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 340 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 3412 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 3020 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 3496 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 3488 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 980 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1492 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 1108 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 1236 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 81 ms 31956 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 1108 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 63 ms 19512 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 67 ms 22568 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 72 ms 24184 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 62 ms 19800 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 65 ms 22580 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 81 ms 28884 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 22 ms 8460 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 21 ms 8636 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Runtime error 66 ms 131072 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -