Submission #728054

# Submission time Handle Problem Language Result Execution time Memory
728054 2023-04-21T21:43:36 Z Trent Split the sequence (APIO14_sequence) C++17
100 / 100
883 ms 86928 KB
#include "bits/stdc++.h"
 
using namespace std;
#define forR(i, a) for(int i = 0; (i) < (a); ++(i))
#define REP(i, a, b) for(int i = (a); (i) < (b); ++i)
#define all(a) a.begin(), a.end()
#define boost() cin.sync_with_stdio(0); cin.tie(0)
#define printArr(arr) for(int asdfg : arr) cout << asdfg << ' '; cout << '\n'
#define open(x) freopen(((string) x + ".in").c_str(), "r", stdin); freopen(((string) x + ".out").c_str(), "w", stdout);
typedef long long ll;
typedef long double ld;
struct pii{ll a, b;};
struct tii{ll a, b, c;};
bool operator <(pii a, pii b){ return a.a < b.a || a.a == b.a && a.b < b.b;}

struct line{int m; ll b; int i;
    ll operator ()(ll x){return m*x + b;}
};

ll intx(line& a, line& b){
    return (b.b-a.b)/(a.m-b.m);
}

const int MN = 1e5 + 10, MK = 210;
int s[MN];
line pre[MN];
int rem[MN][MK];

signed main(){
    int n, k; cin >> n >> k;
    forR(i, n) cin >> s[i];
    REP(i, 1, n) s[i] += s[i-1];
    forR(g, k + 1){
        deque<line> lin = {{0, 0, -1}};
        forR(i, n){
            while(lin.size() > 1 && lin[1](s[i]) >= lin[0](s[i])) lin.pop_front();
            ll ans = lin[0](s[i]);
            rem[i][g] = lin[0].i;
            
            if(g == k && i == n - 1){
                cout << ans << '\n';
                for(int cur = i, j = k; j >= 1; cur=rem[cur][j--]) {
                    cout << rem[cur][j] + 1 << " \n"[j == 1];
                }
                break;
            }

            int si = lin.size();

            if(lin[si-1].m == pre[i].m){
                if(lin[si-1].b <= pre[i].b) lin.pop_back();
                else {
                    pre[i] = {s[i], (ll) -s[i] * s[i] + ans};
                    continue;
                }
            }

            si = lin.size();
            for(; si > 1 && intx(lin[si-1], pre[i]) <= intx(lin[si-2], lin[si-1]); si=lin.size()) lin.pop_back();
            lin.push_back(pre[i]);
            pre[i] = {s[i], (ll) -s[i] * s[i] + ans, i};
        }
    }
}

Compilation message

sequence.cpp: In function 'bool operator<(pii, pii)':
sequence.cpp:14:63: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   14 | bool operator <(pii a, pii b){ return a.a < b.a || a.a == b.a && a.b < b.b;}
      |                                                    ~~~~~~~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 212 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 212 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 212 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 212 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 212 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 212 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 212 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 212 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 212 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 212 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 212 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 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 212 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 212 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 340 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 340 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 468 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 468 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 468 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 468 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 468 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 468 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 468 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 468 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1076 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 1180 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1108 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 1108 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1180 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 1108 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 1108 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1108 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1108 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 8788 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8916 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 87 ms 8916 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 9 ms 8916 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 52 ms 8972 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 56 ms 8788 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 65 ms 8924 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 52 ms 8916 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 62 ms 8788 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 74 ms 8788 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 61 ms 86092 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 56 ms 86456 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 808 ms 86896 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 72 ms 86928 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 883 ms 86604 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 648 ms 86336 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 698 ms 86860 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 552 ms 86732 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 598 ms 86600 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 703 ms 86568 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845