Submission #347594

# Submission time Handle Problem Language Result Execution time Memory
347594 2021-01-13T08:58:55 Z Killer2501 Split the sequence (APIO14_sequence) C++14
100 / 100
1489 ms 84332 KB
#include <bits/stdc++.h>
#define pb push_back
#define task "sequence"
#define pll pair<ll, ll>
#define pii pair<ll, pll>
#define fi first
#define se second
using ll = int;
const long long mod = 1e12+7;
const ll N = 1e5+5;
const int base = 350;
using ull = unsigned long long;
using namespace std;
ll n, m, t, k, T, a[N], cnt, lab[N], ans, u, tong, v, b[202][N];
long long dp[2][N], c[N];
string s, ss;
vector<ll> kq;
vector<ll> adj[N];
ll pw(ll k, ll n)
{
    ll total = 1;
    for(; n; n >>= 1)
    {
        if(n & 1)total = (total * k) % mod;
        k = (k * k) % mod;
    }
    return total;
}
void cal(ll l, ll r, ll opl, ll opr, ll pos)
{
    if(l > r)return;
    ll mid = (l + r) / 2;
    ll best = mid;
    dp[1][mid] = -mod;
    for(int i = max(opl, pos); i <= min(opr, mid); i ++)
    {
        if(dp[1][mid] < dp[0][i] + (c[mid] - c[i]) * c[i])
        {
           dp[1][mid] = dp[0][i] + (c[mid] - c[i]) * c[i];
           best = i;
        }
    }
    b[pos][mid] = best;
    cal(l, mid-1, opl, best, pos);
    cal(mid+1, r, best, opr, pos);

}
void sol()
{
    cin >> n >> k;
    for(int i = 1; i <= n; i ++)
    {
        cin >> a[i];
        c[i] = c[i-1] + a[i];
        //dp[1][i] = -mod;
    }
    for(int i = 1; i <= k; i ++)
    {
        cal(1, n, 1, n, i);
        for(int j = 1; j <= n; j ++)dp[0][j] = dp[1][j];
        //cout << dp[n][i] <<" ";
    }
    //for(int i = 1; i <= n; i ++)cout << dp[i][1] <<" ";
    cout << dp[1][n] << '\n';
    t = n;
    for(int i = k; i > 0; i --)
    {
        kq.pb(b[i][t]);
        t = b[i][t];
    }
    for(int i = k-1; i >= 0; i --)cout << kq[i] <<" ";
}
int main()
{
    if(fopen(task".in", "r")){
       freopen(task".in", "r", stdin);
       freopen(task".out", "w", stdout);
    }
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int ntest;
    ntest =  1;
    //cin >> ntest;
    while(ntest -- > 0)
    sol();

}
/*
7 3
4 1 3 4 0 2 3


*/

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:76:15: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   76 |        freopen(task".in", "r", stdin);
      |        ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:77:15: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   77 |        freopen(task".out", "w", stdout);
      |        ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 2668 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 2668 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 2796 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 2796 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 2668 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 2668 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 2668 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 2668 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 2668 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 2668 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 2668 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 2668 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 2668 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 2668 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 2668 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 2668 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 2668 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 2924 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 2668 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 2796 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 2796 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 2796 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 2796 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 2944 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 3 ms 2796 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 2668 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 3820 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 2788 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 3436 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 3692 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 3820 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 2924 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 2924 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 3052 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2796 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 2796 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 4460 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2796 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 4460 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 4204 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 4460 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 4480 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 3072 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 3436 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 3180 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 3180 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 74 ms 11756 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 3180 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 80 ms 8300 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 79 ms 9216 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 72 ms 9580 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 53 ms 8300 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 74 ms 9196 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 93 ms 10860 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 32 ms 6764 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 29 ms 6892 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 750 ms 84332 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 24 ms 7148 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1489 ms 84076 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 914 ms 60444 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 796 ms 64700 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 543 ms 53612 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 767 ms 60652 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 976 ms 76268 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845