Submission #697303

#TimeUsernameProblemLanguageResultExecution timeMemory
697303Dan4LifeThe short shank; Redemption (BOI21_prison)C++17
15 / 100
2051 ms524288 KiB
#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define int long long 
#define sz(a) (int)a.size()
#define all(a) a.begin(),a.end()
const int mxN = (int)1e5+10;
const int LINF = (int)1e18;
int n, k, T, a[mxN];
vector<vector<int>> dp;
unordered_map<int,int> calc[mxN];

int c(int l, int r){
    if(calc[l].count(r)) return calc[l][r];
    int ans = 0, mn = a[l];
    for(int j = l; j <= r; j++)
        mn = min(mn+1, a[j]), ans+=(mn<=T), calc[l][j] = ans;
    return calc[l][r]=ans;
}


void dnc(int l, int r, int optl, int optr, int i) {
    if (l > r) return;
    int mid = (l+r)/2;
    pair<int,int> best = {LINF, 1};
    for (int k = optl; k <= min(mid, optr); k++) 
        best = min(best, {dp[k-1][i]+c(k,mid),k});
    dp[mid][i+1] = best.fi;
    dnc(l,mid-1,optl,best.se,i);
    dnc(mid+1,r,best.se,optr,i);
}

int32_t main() {
    ios_base::sync_with_stdio(false); cin.tie(0);
    cin >> n >> k >> T; k++;
    dp.resize(n+2,vector<int>(k+2,LINF));
    for(int i = 1; i <= n; i++) cin >> a[i];
    int ans = 0, mn = a[1];
    for(int j = 1; j <= n; j++)
        mn = min(mn+1, a[j]), ans+=(mn<=T), calc[1][j] = ans;
    for(int i = 1; i <= n; i++) dp[i][1] = c(1,i);
    for(int i = 1; i < k; i++) dnc(1,n,1,n,i);
    cout << dp[n][k];
}
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