Submission #959806

# Submission time Handle Problem Language Result Execution time Memory
959806 2024-04-09T06:58:41 Z hariaakas646 Split the sequence (APIO14_sequence) C++14
50 / 100
2000 ms 24152 KB
#include <bits/stdc++.h>

using namespace std;

#define scd(t) scanf("%d", &t)
#define sclld(t) scanf("%lld", &t)
#define forr(i, j, k) for (int i = j; i < k; i++)
#define frange(i, j) forr(i, 0, j)
#define all(cont) cont.begin(), cont.end()
#define mp make_pair
#define pb push_back
#define f first
#define s second
typedef long long int lli;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef vector<lli> vll;
typedef vector<string> vs;
typedef vector<pii> vii;
typedef vector<vi> vvi;
typedef map<int, int> mpii;
typedef set<int> seti;
typedef multiset<int> mseti;
typedef long double ld;


void usaco()
{
    freopen("/media/hariaakash646/785EF1075EF0BF46/CompetitiveProgramming/input.in", "r", stdin);
//    freopen("problem.out", "w", stdout);
}

int n, k;
vector<vll> dp;
vvi opt;
vll vec, pref;

void dnc(int i, int l, int r, int optl, int optr) {
    if(l > r) return;
    int mid = (l+r)/2;
    forr(k, optl, min(optr+1, mid)) {
        if(dp[i-1][k] + (pref[mid] - pref[k]) * (pref[n] - pref[mid]) > dp[i][mid]) {
            dp[i][mid] = dp[i-1][k] + (pref[mid] - pref[k]) * (pref[n] - pref[mid]);
            opt[i][mid] = k;
        }
    }
    dnc(i, l, mid-1, optl, optr);
    dnc(i, mid+1, r, optl, optr);

}

int main() {
    // usaco();
    
    scd(n);
    scd(k);
    dp = vector<vll>(k+1, vll(n+1, -1e17));
    opt = vvi(k+1, vi(n+1));
    vec = pref = vll(n+1);
    forr(i, 1, n+1) {
        sclld(vec[i]);
        pref[i] = pref[i-1]+vec[i];
    }

    dp[0][0] = 0;
    forr(i, 1, k+1)
        dnc(i, 1, n, 0, n);

    lli ma = -1e9;
    int id = -1;

    forr(i, 1, n+1) {
        if(dp[k][i] > ma) {
            ma = dp[k][i];
            id = i;
        }
    }

    vi out;

    for(int i=k; i>=1; i--) {
        out.pb(id);
        id = opt[i][id];
    }
    printf("%lld\n", ma);
    reverse(all(out));
    for(auto e : out) printf("%d ", e);



}

Compilation message

sequence.cpp: In function 'void usaco()':
sequence.cpp:30:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   30 |     freopen("/media/hariaakash646/785EF1075EF0BF46/CompetitiveProgramming/input.in", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp: In function 'int main()':
sequence.cpp:5:21: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
    5 | #define scd(t) scanf("%d", &t)
      |                ~~~~~^~~~~~~~~~
sequence.cpp:56:5: note: in expansion of macro 'scd'
   56 |     scd(n);
      |     ^~~
sequence.cpp:5:21: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
    5 | #define scd(t) scanf("%d", &t)
      |                ~~~~~^~~~~~~~~~
sequence.cpp:57:5: note: in expansion of macro 'scd'
   57 |     scd(k);
      |     ^~~
sequence.cpp:6:23: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
    6 | #define sclld(t) scanf("%lld", &t)
      |                  ~~~~~^~~~~~~~~~~~
sequence.cpp:62:9: note: in expansion of macro 'sclld'
   62 |         sclld(vec[i]);
      |         ^~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 348 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 348 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 348 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 344 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 348 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 348 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 348 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 348 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 344 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 344 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 344 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 348 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 348 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 348 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 348 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 348 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 348 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 348 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 348 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 348 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 348 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 348 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 344 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 504 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 860 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 348 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 604 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 860 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 856 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 348 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 348 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 348 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 348 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 348 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 140 ms 2652 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 344 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 263 ms 2808 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 223 ms 2444 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 129 ms 2796 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 131 ms 2804 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 40 ms 924 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 88 ms 1384 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 293 ms 1116 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 141 ms 1112 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Execution timed out 2021 ms 24152 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 2003 ms 6984 KB Time limit exceeded
2 Halted 0 ms 0 KB -