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Submission #939563

# Submission time Handle Problem Language Result Execution time Memory
939563 2024-03-06T14:01:09 Z haxorman Distributing Candies (IOI21_candies) C++17
100 / 100
 1600 ms 50664 KB 
#include "candies.h"
#include <bits/stdc++.h>
using namespace std;
 
#define f first
#define s second
#define ll long long
 
const int mxN = 2e5 + 7;
const int SZ = exp2(ceil(log2(mxN)));
const ll INF = 1e18;
 
int n, q;
ll lazy[4*mxN];
pair<ll,int> seg[4*mxN][2];
vector<pair<int,int>> que[mxN][2];

pair<ll,int> minx(pair<ll,int> a, pair<ll,int> b) {
    if (a.f == b.f) {
        return (a.s > b.s ? a : b);
    }
    return (a.f < b.f ? a : b);
}

pair<ll,int> maxx(pair<ll,int> a, pair<ll,int> b) {
    if (a.f == b.f) {
        return (a.s > b.s ? a : b);
    }
    return (a.f > b.f ? a : b);
}

 
void push(int ind, int l, int r, int cnt = 1) {
    seg[ind][0].f += lazy[ind];
    seg[ind][1].f += lazy[ind];
 
    if (l != r) {
        lazy[2*ind] += lazy[ind];
        lazy[2*ind+1] += lazy[ind];
 
        if (cnt) {
            int mid = (l+r)/2;
            push(2*ind,l,mid,cnt-1);
            push(2*ind+1,mid+1,r,cnt-1);
        }
    }
    lazy[ind] = 0;
}
 
void update(int lo, int hi, ll inc, int ind=1, int l=0, int r=SZ-1) {
    push(ind,l,r);
    if (lo > r || l > hi) {
        return;
    }
 
    if (lo <= l && r <= hi) {
        lazy[ind] += inc;
        push(ind,l,r);
        return;
    }
    
    int mid = (l+r)/2;
    update(lo,hi,inc,2*ind,l,mid);
    update(lo,hi,inc,2*ind+1,mid+1,r);
    
    seg[ind][0] = minx(seg[2*ind][0],seg[2*ind+1][0]);
    seg[ind][1] = maxx(seg[2*ind][1],seg[2*ind+1][1]);
}
 
// {min, max}
pair<pair<ll,int>,pair<ll,int>>
walk(int c, pair<ll,int> mn, pair<ll,int> mx, int ind=1, int l=0, int r=SZ-1) {
    push(ind,l,r);
    if (l == r) {
        return {minx(mn,seg[ind][0]),maxx(mx,seg[ind][1])};
    }
 
    int mid = (l+r)/2;
    if (max(mx.f,seg[2*ind+1][1].f) - min(mn.f,seg[2*ind+1][0].f) >= c) {
        return walk(c,mn,mx,2*ind+1,mid+1,r);
    }
    else {
        return walk(c,min(mn,seg[2*ind+1][0]),max(mx,seg[2*ind+1][1]),
                    2*ind,l,mid);
    }
}
 
ll query(int pos, int ind=1, int l=0, int r=SZ-1) {
    push(ind,l,r);
    if (l == r) {
        return seg[ind][0].f;
    }
 
    int mid = (l+r)/2;
    if (pos <= mid) {
        return query(pos,2*ind,l,mid);
    }
    else {
        return query(pos,2*ind+1,mid+1,r);
    }
}
 
vector<int> distribute_candies(vector<int> c, vector<int> l,
                                    vector<int> r, vector<int> v) {
    n = c.size(), q = v.size()+1;
 
    seg[1+SZ][0] = seg[1+SZ][1] = {0, 1};
    for (int i = 2; i <= q; ++i) {
        que[l[i-2]][0].push_back({v[i-2], i});
        que[r[i-2]][1].push_back({v[i-2], i});
 
        seg[i+SZ][0] = seg[i+SZ][1] = {0, i};
    }

    for (int i = q+1; i < SZ; ++i) {
        seg[i+SZ][0] = {INF, i};
        seg[i+SZ][1] = {-INF, i};
    }
    
    for (int ind = SZ-1; ind >= 0; --ind) {
        seg[ind][0] = minx(seg[2*ind][0],seg[2*ind+1][0]);
        seg[ind][1] = maxx(seg[2*ind][1],seg[2*ind+1][1]);
    }
    
    vector<int> ans(n);
    for (int i = 0; i < n; ++i) {
        for (auto [val, t] : que[i][0]) {
            update(t, q, val);
        }
        update(1,q,-c[i]);
        
        /*
        for (int j = 0; j <= q; ++j) {
            cout << query(j) << ' ';
        }
        cout << "\n";
        */
        
        auto cur = walk(c[i],{INF,0},{-INF,0});
        //cout << cur.f.f << ' ' << cur.f.s << "\n";
        //cout << cur.s.f << ' ' << cur.s.s << "\n----\n";
        if (cur.s.s > cur.f.s) {
            ans[i] = c[i] + query(q) - query(cur.s.s);
        }
        else {
            ans[i] = query(q) - query(cur.f.s);
        }
        /*
        int lb = 0, rb = q;
        ll res = 0;
        while (lb <= rb) {
            int mb = (lb+rb)/2;
            auto cur = query(mb,q);
 
            if (cur.s.f - cur.f.f >= (ll) c[i]) {
                lb = mb + 1;
 
                if (cur.s.s > cur.f.s) {
                    res = c[i] + query(q,q).f.f - query(cur.s.s,cur.s.s).f.f;
                }
                else {
                    res = query(q,q).f.f - query(cur.f.s,cur.f.s).f.f;
                }
            }
            else {
                rb = mb - 1;
            }
        }
        ans[i] = res;
        */
        
        update(1,q,c[i]);
        for (auto [val, t] : que[i][1]) {
            update(t, q, -val);
        }
    }
    return ans;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 29276 KB Output is correct
2 Correct 6 ms 29276 KB Output is correct
3 Correct 13 ms 29276 KB Output is correct
4 Correct 13 ms 29476 KB Output is correct
5 Correct 21 ms 29528 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1549 ms 46908 KB Output is correct
2 Correct 1521 ms 49220 KB Output is correct
3 Correct 1600 ms 49212 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 29276 KB Output is correct
2 Correct 675 ms 44000 KB Output is correct
3 Correct 637 ms 34368 KB Output is correct
4 Correct 1546 ms 50236 KB Output is correct
5 Correct 1542 ms 50256 KB Output is correct
6 Correct 1512 ms 50664 KB Output is correct
7 Correct 1465 ms 50240 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 29276 KB Output is correct
2 Correct 8 ms 29400 KB Output is correct
3 Correct 568 ms 41444 KB Output is correct
4 Correct 621 ms 32784 KB Output is correct
5 Correct 1363 ms 44468 KB Output is correct
6 Correct 1293 ms 44416 KB Output is correct
7 Correct 1306 ms 44848 KB Output is correct
8 Correct 1304 ms 44212 KB Output is correct
9 Correct 1315 ms 44992 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 29276 KB Output is correct
2 Correct 6 ms 29276 KB Output is correct
3 Correct 13 ms 29276 KB Output is correct
4 Correct 13 ms 29476 KB Output is correct
5 Correct 21 ms 29528 KB Output is correct
6 Correct 1549 ms 46908 KB Output is correct
7 Correct 1521 ms 49220 KB Output is correct
8 Correct 1600 ms 49212 KB Output is correct
9 Correct 8 ms 29276 KB Output is correct
10 Correct 675 ms 44000 KB Output is correct
11 Correct 637 ms 34368 KB Output is correct
12 Correct 1546 ms 50236 KB Output is correct
13 Correct 1542 ms 50256 KB Output is correct
14 Correct 1512 ms 50664 KB Output is correct
15 Correct 1465 ms 50240 KB Output is correct
16 Correct 6 ms 29276 KB Output is correct
17 Correct 8 ms 29400 KB Output is correct
18 Correct 568 ms 41444 KB Output is correct
19 Correct 621 ms 32784 KB Output is correct
20 Correct 1363 ms 44468 KB Output is correct
21 Correct 1293 ms 44416 KB Output is correct
22 Correct 1306 ms 44848 KB Output is correct
23 Correct 1304 ms 44212 KB Output is correct
24 Correct 1315 ms 44992 KB Output is correct
25 Correct 6 ms 29272 KB Output is correct
26 Correct 637 ms 32792 KB Output is correct
27 Correct 676 ms 43600 KB Output is correct
28 Correct 1531 ms 49664 KB Output is correct
29 Correct 1499 ms 49728 KB Output is correct
30 Correct 1515 ms 49744 KB Output is correct
31 Correct 1504 ms 49588 KB Output is correct
32 Correct 1548 ms 50248 KB Output is correct