Submission #636351

#TimeUsernameProblemLanguageResultExecution timeMemory
636351SirCovidThe19thHoliday (IOI14_holiday)C++17
100 / 100
554 ms9648 KiB
#include <bits/stdc++.h>
using namespace std; 
 
#define ll long long
 
const int mx = 1e5 + 5;
 
int n, d, start, pos[mx], A[mx]; pair<int, int> S[mx]; ll ans, F[2][2][mx * 3], bit[mx][2];
 
void upd(int i, int type){ 
    for (int j = pos[i]; j < mx; j += j & (-j))
        bit[j][0] += type * A[i], bit[j][1] += type;
}
ll qry(int k){
    ll ret = 0;
    for (int pw = (1 << 17), pos = 0; pw; pw /= 2)
        if (pos + pw < mx and bit[pos + pw][1] <= k){
            pos += pw; 
            ret += bit[pos][0];
            k -= bit[pos][1];
        }
    return ret;
}
void dnq(int l, int r, int stopL, int stopR, bool dir, bool rep){
    if (l > r or stopL > stopR) return;
    for (int i = stopL; i <= stopR; i++) upd(i, -1);
 
    int midD = (l + r) / 2, stopMid = -1;
    for (int stop = stopL; stop <= stopR; stop++){
        int visit = midD - (stop - start) * (rep ? 2 : 1);
        upd(stop, 1);
        if (visit < 0) continue;
 
        ll val = qry(visit);
        if (val >= F[dir][rep][midD]){
            F[dir][rep][midD] = val;
            stopMid = stop;
        }
    }
    for (int i = stopMid + 1; i <= stopR; i++) upd(i, -1);
    dnq(l, midD - 1, stopL, stopMid, dir, rep);
    
    for (int i = stopMid + 1; i <= stopR; i++) upd(i, 1);
    dnq(midD + 1, r, stopMid, stopR, dir, rep);
}
void work(int tmpSt, int tmpA[], bool dir, bool rep){
    start = tmpSt;
    for (int i = 0; i < n; i++){
        A[i] = tmpA[i];
        S[i] = {tmpA[i], i};
    }
    sort(S, S + n, greater<pair<int, int>>());
    for (int i = 0; i < n; i++) pos[S[i].second] = i + 1; //BIT has to be 1 indexed
 
    memset(bit, 0, sizeof(bit));
    for (int i = start; i < n; i++) upd(i, 1);
    
    dnq(0, d, start, n - 1, dir, rep);
}
ll findMaxAttraction(int tmpN, int tmpSt, int tmpD, int tmpA[]){
    n = tmpN; d = tmpD;
    work(tmpSt, tmpA, 0, 0);
    work(tmpSt + 1, tmpA, 0, 1);
 
    reverse(tmpA, tmpA + n);
    work(n - tmpSt - 1, tmpA, 1, 0);
    work(n - tmpSt, tmpA, 1, 1);
 
    for (int i = 0; i <= d - 2; i++)
        ans = max({ans, F[0][1][i] + F[1][0][d - i - 2], F[1][1][i] + F[0][0][d - i - 2]});
    
    return max({ans, F[0][0][d], F[1][0][d]});
}
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