Submission #103564

#	Time	Username	Problem	Language	Result	Execution time	Memory
103564		kjain_1810	Split the sequence (APIO14_sequence)	C++17	28 / 100	19 ms	3584 KiB

sequence

#include <bits/stdc++.h>
#define pb push_back
#define f first
#define s second
#define ind(a) scanf("%d", &a)
#define inlld(a) scanf("%lld", &a)
#define ind2(a, b) scanf("%d%d", &a, &b)
#define inlld2(a, b) scanf("%lld%lld", &a, &b)
#define ind3(a, b, c) scanf("%d%d%d", &a, &b, &c)
#define inlld3(a, b, c) scanf("%lld%lld%lld", &a, &b, &c)

using namespace std;

const int N=1e3+5;
const int MOD=1e9+7;

typedef long long ll;
typedef long double ld;

ll arr[N], n, k, dp[N][205], pref[N], nex[N][205];

void solve(ll lev, ll l, ll r, ll optL, ll optR)
{
    if(l>r)
        return;
    ll mid=(l+r)/2;
    for(ll a=optL; a<=optR && a<mid; a++)
    {
        ll here=dp[a][lev-1]+(pref[mid]-pref[a])*pref[a];
        if(here>dp[mid][lev])
        {
            dp[mid][lev]=here;
            nex[mid][lev]=a;
        }
    }
    solve(lev, l, mid-1, optL, nex[mid][lev]);
    solve(lev, mid+1, r, nex[mid][lev], optR);
}

int main() 
{
    inlld2(n, k);
    if(n==1)
    {
        printf("0\n1\n");
        return 0;
    }
    for(ll a=1; a<=n; a++)
    {
        inlld(arr[a]);
        pref[a]=pref[a-1]+arr[a];
    }
    for(ll a=1; a<=n; a++)
        for(ll b=1; b<=k; b++)
            dp[a][b]=0;
    // for(ll b=1; b<=k; b++)
    //     for(ll a=1; a<=n; a++)
    //     {
    //         for(ll c=1; c<a; c++)
    //         {
    //             if(dp[c][b-1]+(pref[a]-pref[c])*pref[c]>dp[a][b])
    //             {
    //                 dp[a][b]=dp[c][b-1]+(pref[a]-pref[c])*pref[c];
    //                 nex[a][b]=c;
    //             }
    //         }
    //     }
    for(ll a=1; a<=k; a++)
        solve(a, 1, n, 1, n);
    printf("%lld\n", dp[n][k]);
    ll i=n, j=k;
    vector<ll>ans;
    while(j>0)
    {
        ans.pb(nex[i][j]);
        i=nex[i][j];
        j--;    
    }
    for(ll a=ans.size()-1; a>=0; a--)
        printf("%lld ", ans[a]);
    printf("\n");
    return 0;
}

Compilation message (stderr)

sequence.cpp: In function 'int main()':
sequence.cpp:8:27: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 #define inlld2(a, b) scanf("%lld%lld", &a, &b)
                      ~~~~~^~~~~~~~~~~~~~~~~~~~
sequence.cpp:42:5: note: in expansion of macro 'inlld2'
     inlld2(n, k);
     ^~~~~~
sequence.cpp:6:23: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 #define inlld(a) scanf("%lld", &a)
                  ~~~~~^~~~~~~~~~~~
sequence.cpp:50:9: note: in expansion of macro 'inlld'
         inlld(arr[a]);
         ^~~~~

• Subtask 1: 0 / 11
• Subtask 2: 11 / 11
• Subtask 3: 0 / 11
• Subtask 4: 17 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29