Submission #669817

# Submission time Handle Problem Language Result Execution time Memory
669817 2022-12-07T10:51:42 Z Dan4Life Split the sequence (APIO14_sequence) C++17
100 / 100
824 ms 82656 KB
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define all(a) a.begin(),a.end()
#define mp make_pair
#define fi first
#define se second
#define sz(a) (int)a.size()
using ll = long long;
const int maxn = (int)1e5+10;
const ll INF = (ll)2e18;
ll n, K, a[maxn], s[maxn];
ll dp[2][maxn];
int p[205][maxn];
vector<int> v;
 
void recur(int i, int k){ if(k) v.pb(i), recur(p[k][i],k-1); }
 
double slope(int i, int j, int k){
    if(s[j]==s[i]) return INF;
    return (double)((dp[k][j]-s[n]*s[j])-(dp[k][i]-s[n]*s[i]))/(s[j]-s[i]);
}
 
int32_t main()
{
    ios_base::sync_with_stdio(false); cin.tie(0);
    cin >> n >> K; int ind = 0;
    for(int i = 0; i < n; i++) cin >> a[i], s[i+1]=s[i]+a[i];
    for(int k = 1; k <= K+1; k++){
        deque<int> DQ; DQ.clear(); DQ.push_back(0); ind = k%2;
        for(int i = 1; i <= n; i++){
            while(sz(DQ)>1 and slope(DQ[0],DQ[1],!ind)>= -s[i]) DQ.pop_front();

            int j = DQ[0]; dp[ind][i]=dp[!ind][j]+(s[i]-s[j])*(s[n]-s[i]), p[k][i]=j;

            while(sz(DQ)>1 and slope(DQ[sz(DQ)-2], DQ.back(),!ind) <= slope(DQ.back(),i,!ind)) DQ.pop_back();
            DQ.push_back(i);
        }
        memcpy(dp[!ind],dp[ind],sizeof(dp[ind]));
    }
    cout << dp[ind][n] << "\n"; recur(n,K+1);
    sort(all(v)); v.pop_back(); for(auto u : v) cout << u << " ";
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 1876 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 1804 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 1876 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 1876 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 1876 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 1876 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 1876 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 1876 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 1876 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 1876 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 1876 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 1876 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 1860 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 1864 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 1876 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 1868 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 1876 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 2132 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 1876 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 1876 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 1876 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 2004 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 1876 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 1864 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 1876 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 1876 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 7 ms 3028 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 1876 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 2644 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 7 ms 2900 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 8 ms 3028 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 2004 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 2016 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 2132 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1876 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1876 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 13 ms 3540 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 1876 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 15 ms 3596 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 12 ms 3344 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 3560 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 12 ms 3540 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 2132 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 2516 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2132 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 2260 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 71 ms 10944 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 2260 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 55 ms 7360 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 57 ms 8296 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 67 ms 8708 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 53 ms 7488 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 55 ms 8308 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 70 ms 10084 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 20 ms 5076 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 21 ms 5332 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 643 ms 82656 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 20 ms 5708 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 824 ms 82448 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 552 ms 58920 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 624 ms 63052 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 454 ms 52040 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 483 ms 59084 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 611 ms 74784 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845