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Submission #486885

# Submission time Handle Problem Language Result Execution time Memory
486885 2021-11-13T07:24:34 Z kakayoshi Holding (COCI20_holding) C++14
110 / 110
 102 ms 211272 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
typedef long long int ll;
typedef pair<ll,ll> pi;
typedef pair<ll, pair<ll, ll> > pii;
typedef vector <ll> vi;
#define forw(i,a,b) for (ll i=a;i<=(b);i++)
#define forb(i,a,b) for (ll i=a;i>=(b);i--)
#define fast {ios::sync_with_stdio(false); cin.tie(0); }
#define fi first
#define se second
#define pu push
#define puf push_front
#define pb push_back
#define pof pop_front
#define pob pop_back
#define fr front
#define all(a) a.begin(),a.end()
const ll oo=1e18;
const ll mod=(1<<31)-1;
const int base=31;
const int tx[5]={0,-1,0,1,0};
const int ty[5]={0,0,1,0,-1};
const ll maxN=5e5+5;
const ll maxM=10000/4+5;
const ll block=700;
int n,l,r,k,dp1[105][maxM][105],dp2[105][maxM][105],sum,a[105],ans,pre[105][maxM],suf[105][maxM];
void minimize(int &a,int b)
{
    a=min(a,b);
}
void solve()
{
    cin>>n>>l>>r>>k;
    k=min(n*n/4,k);
    forw(i,1,n)
    {
        cin>>a[i];
        if (l<=i && i<=r)
        sum+=a[i];
    }
    int num=r-l+1;
    forw(i,0,n+1)
        forw(cost,0,k)
            forw(j,0,n)
                dp1[i][cost][j]=dp2[i][cost][j]=1e9;
    dp1[0][0][0]=dp2[n+1][0][0]=sum;
    ////////////////////////////////////// left to right
    forw(i,0,l-2)
    {
        forw(cost,0,k)
        {
            int res=1e9;
            forw(j,0,num)
            {
                res=min(res,dp1[i][cost][j]);
                minimize(dp1[i+1][cost][j],res);
                if (j<num && cost+ (l+j) - (i+1) <=k)
                    minimize(dp1[i+1][cost+ (l+j) - (i+1)][j+1],res-(a[l+j]-a[i+1]));
            }
        }
    }
    forw(j,0,num)
    {
        int res=1e9;
        forw(cost,0,k)
        {
            minimize(res,dp1[l-1][cost][j]);
            if (j>0) pre[j][cost]=min(res,pre[j-1][cost]);
            else pre[j][cost]=res;
        }
    }
    //////////////////////////////////////// right to left
    forb(i,n+1,r+2)
    {
        forw(cost,0,k)
        {
            int res=1e9;
            forw(j,0,num)
            {
                res=min(res,dp2[i][cost][j]);
                minimize(dp2[i-1][cost][j],res);
                if (j<num && cost + (i-1) - (r-j) <=k)
                    minimize(dp2[i-1][cost + (i-1) - (r-j)][j+1],res-(a[r-j]-a[i-1]));
            }
        }
    }
    forw(j,0,num)
    {
        int res=1e9;
        forw(cost,0,k)
        {
            minimize(res,dp2[r+1][cost][j]);
            if (j>0) suf[j][cost]=min(res,suf[j-1][cost]);
            else suf[j][cost]=res;
        }
    }
    ans=sum;
    forw(j,0,num)
    {
        forw(cost,0,k)
        {
            //cout<<j<<" "<<cost<<" "<<pre[j][cost]<<" "<<suf[num-j][k-cost]<<endl;
            minimize(ans,pre[j][cost]+suf[num-j][k-cost]-sum);
        }
    }
    cout<<ans;
}
int main()
{
    fast;
    //freopen("test.inp","r",stdin);
    //freopen("test.out","w",stdout);
    solve();
    return 0;
}

Compilation message

holding.cpp:21:21: warning: integer overflow in expression of type 'int' results in '2147483647' [-Woverflow]
   21 | const ll mod=(1<<31)-1;
      |              ~~~~~~~^~

Subtask #1
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 588 KB Output is correct
3 Correct 0 ms 588 KB Output is correct
4 Correct 0 ms 844 KB Output is correct
5 Correct 0 ms 588 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 1 ms 972 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 588 KB Output is correct
3 Correct 0 ms 588 KB Output is correct
4 Correct 0 ms 844 KB Output is correct
5 Correct 0 ms 588 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 1 ms 972 KB Output is correct
8 Correct 2 ms 3148 KB Output is correct
9 Correct 2 ms 4428 KB Output is correct
10 Correct 2 ms 4812 KB Output is correct
11 Correct 4 ms 9292 KB Output is correct
12 Correct 3 ms 5284 KB Output is correct
13 Correct 14 ms 27852 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 588 KB Output is correct
3 Correct 0 ms 588 KB Output is correct
4 Correct 0 ms 844 KB Output is correct
5 Correct 0 ms 588 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 1 ms 972 KB Output is correct
8 Correct 2 ms 3148 KB Output is correct
9 Correct 2 ms 4428 KB Output is correct
10 Correct 2 ms 4812 KB Output is correct
11 Correct 4 ms 9292 KB Output is correct
12 Correct 3 ms 5284 KB Output is correct
13 Correct 14 ms 27852 KB Output is correct
14 Correct 1 ms 972 KB Output is correct
15 Correct 2 ms 4172 KB Output is correct
16 Correct 2 ms 2892 KB Output is correct
17 Correct 4 ms 7756 KB Output is correct
18 Correct 5 ms 11340 KB Output is correct
19 Correct 13 ms 27972 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 588 KB Output is correct
3 Correct 0 ms 588 KB Output is correct
4 Correct 0 ms 844 KB Output is correct
5 Correct 0 ms 588 KB Output is correct
6 Correct 1 ms 1100 KB Output is correct
7 Correct 1 ms 972 KB Output is correct
8 Correct 2 ms 3148 KB Output is correct
9 Correct 2 ms 4428 KB Output is correct
10 Correct 2 ms 4812 KB Output is correct
11 Correct 4 ms 9292 KB Output is correct
12 Correct 3 ms 5284 KB Output is correct
13 Correct 14 ms 27852 KB Output is correct
14 Correct 1 ms 972 KB Output is correct
15 Correct 2 ms 4172 KB Output is correct
16 Correct 2 ms 2892 KB Output is correct
17 Correct 4 ms 7756 KB Output is correct
18 Correct 5 ms 11340 KB Output is correct
19 Correct 13 ms 27972 KB Output is correct
20 Correct 16 ms 35148 KB Output is correct
21 Correct 24 ms 55888 KB Output is correct
22 Correct 2 ms 4560 KB Output is correct
23 Correct 89 ms 210272 KB Output is correct
24 Correct 15 ms 27844 KB Output is correct
25 Correct 102 ms 211272 KB Output is correct