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Submission #837183

# Submission time Handle Problem Language Result Execution time Memory
837183 2023-08-25T07:15:38 Z QwertyPi Distributing Candies (IOI21_candies) C++17
100 / 100
 316 ms 44476 KB 
#include "candies.h"
#include <bits/stdc++.h>
#define int long long

using namespace std;

const int N_MAX = 2e5 + 11;
int n, q;

struct node{
    int pref_max, pref_min, sum;
    node() : pref_max(0), pref_min(0), sum(0){}
    node(int v) : pref_max(max(0LL, v)), pref_min(min(0LL, v)), sum(v){};
};

struct update{
    int t, pos, val;
};

node operator+ (const node& a, const node& b){
    node res;
    res.pref_max = max(a.pref_max, a.sum + b.pref_max);
    res.pref_min = min(a.pref_min, a.sum + b.pref_min);
    res.sum = a.sum + b.sum;
    return res;
}

node t[N_MAX << 2];
int a[N_MAX];

void st_update(int qi, int qv, int v = 0, int l = 0, int r = q - 1){
    if(l == r) t[v] = node(qv), a[qi] = qv;
    else {
        int m = (l + r) / 2;
        if(qi <= m) st_update(qi, qv, v * 2 + 1, l, m);
        else st_update(qi, qv, v * 2 + 2, m + 1, r);
        t[v] = t[v * 2 + 1] + t[v * 2 + 2];
    }
}

node st_suffix(int qi, int v = 0, int l = 0, int r = q - 1){
    if(qi > r) return 0;
    if(l == r) return t[v];
    else {
        int m = (l + r) / 2;
        if(qi <= m) return st_suffix(qi, v * 2 + 1, l, m) + t[v * 2 + 2];
        else return st_suffix(qi, v * 2 + 2, m + 1, r);
    }
}

int st_position(int c, node s = 0, int v = 0, int l = 0, int r = q - 1){
    if(l == r) return l;
    else {
        int m = (l + r) / 2;
        node s2 = t[v * 2 + 2] + s;
        if(s2.pref_max - s2.pref_min < c) return st_position(c, s2, v * 2 + 1, l, m);
        else return st_position(c, s, v * 2 + 2, m + 1, r);
    }
}

int f(node v, int x, int c, bool strict = false){
    if(v.pref_max - v.pref_min < c){
        if(x > c - v.pref_max) x = c - v.pref_max;
        if(x < -v.pref_min) x = -v.pref_min;
        return x + v.sum;
    }else{
        x += v.sum;
        if(x < 0) x = 0;
        if(x > c) x = c;
        return x;
    }
}

vector<int32_t> distribute_candies(vector<int32_t> c, vector<int32_t> l, vector<int32_t> r, vector<int32_t> v) {
    n = c.size(), q = l.size();
    vector<update> Q;
    for(int i = 0; i < q; i++){
        Q.push_back({l[i], i, v[i]});
        Q.push_back({r[i] + 1, i, 0});
    }
    sort(Q.begin(), Q.end(), [](update a, update b){
        return a.t < b.t;
    });
    int qid = 0;
    vector<int32_t> s(n);
    for(int i = 0; i < n; i++){
        while(qid < (int) Q.size() && Q[qid].t <= i) st_update(Q[qid].pos, Q[qid].val), qid++;
        int pos = st_position(c[i]);
        s[i] = f(node(a[pos++]), s[i], c[i]);
        s[i] = f(st_suffix(pos), s[i], c[i], true);
    }
    return s;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 8 ms 19028 KB Output is correct
3 Correct 9 ms 19284 KB Output is correct
4 Correct 9 ms 19284 KB Output is correct
5 Correct 10 ms 19356 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 265 ms 37828 KB Output is correct
2 Correct 274 ms 37824 KB Output is correct
3 Correct 281 ms 37816 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 19028 KB Output is correct
2 Correct 214 ms 39172 KB Output is correct
3 Correct 79 ms 24956 KB Output is correct
4 Correct 316 ms 43692 KB Output is correct
5 Correct 312 ms 44220 KB Output is correct
6 Correct 291 ms 44476 KB Output is correct
7 Correct 254 ms 43832 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 19028 KB Output is correct
2 Correct 8 ms 19028 KB Output is correct
3 Correct 104 ms 36148 KB Output is correct
4 Correct 60 ms 23012 KB Output is correct
5 Correct 176 ms 41272 KB Output is correct
6 Correct 170 ms 41924 KB Output is correct
7 Correct 164 ms 42552 KB Output is correct
8 Correct 170 ms 41144 KB Output is correct
9 Correct 191 ms 42676 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 8 ms 19028 KB Output is correct
3 Correct 9 ms 19284 KB Output is correct
4 Correct 9 ms 19284 KB Output is correct
5 Correct 10 ms 19356 KB Output is correct
6 Correct 265 ms 37828 KB Output is correct
7 Correct 274 ms 37824 KB Output is correct
8 Correct 281 ms 37816 KB Output is correct
9 Correct 8 ms 19028 KB Output is correct
10 Correct 214 ms 39172 KB Output is correct
11 Correct 79 ms 24956 KB Output is correct
12 Correct 316 ms 43692 KB Output is correct
13 Correct 312 ms 44220 KB Output is correct
14 Correct 291 ms 44476 KB Output is correct
15 Correct 254 ms 43832 KB Output is correct
16 Correct 8 ms 19028 KB Output is correct
17 Correct 8 ms 19028 KB Output is correct
18 Correct 104 ms 36148 KB Output is correct
19 Correct 60 ms 23012 KB Output is correct
20 Correct 176 ms 41272 KB Output is correct
21 Correct 170 ms 41924 KB Output is correct
22 Correct 164 ms 42552 KB Output is correct
23 Correct 170 ms 41144 KB Output is correct
24 Correct 191 ms 42676 KB Output is correct
25 Correct 7 ms 19028 KB Output is correct
26 Correct 73 ms 22868 KB Output is correct
27 Correct 220 ms 38824 KB Output is correct
28 Correct 295 ms 42292 KB Output is correct
29 Correct 299 ms 42760 KB Output is correct
30 Correct 293 ms 42936 KB Output is correct
31 Correct 296 ms 43064 KB Output is correct
32 Correct 287 ms 43316 KB Output is correct