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Submission #1097121

# Submission time Handle Problem Language Result Execution time Memory
1097121 2024-10-06T06:46:38 Z TrinhKhanhDung Examination (JOI19_examination) C++14
100 / 100
 219 ms 23052 KB 
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define sz(x) (int)x.size()
#define ALL(v) v.begin(),v.end()
#define MASK(k) (1LL << (k))
#define BIT(x, i) (((x) >> (i)) & 1)
#define oo (ll)1e18 + 10
#define INF (ll)1e9
#define MOD (ll)(998244353)

using namespace std;

template<class T1, class T2>
    bool maximize(T1 &a, T2 b){if(a < b){a = b; return true;} return false;}

template<class T1, class T2>
    bool minimize(T1 &a, T2 b){if(a > b){a = b; return true;} return false;}

template<class T1, class T2>
    void add(T1 &a, T2 b){a += b; if(a >= MOD) a -= MOD;}

template<class T1, class T2>
    void sub(T1 &a, T2 b){a -= b; if(a < 0) a += MOD;}

template<class T>
    void cps(T &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());}

struct fen{
    vector<int> tree;
    int n;

    fen(int _n = 0){
        n = _n;
        tree.resize(n + 3, 0);
    }

    void upd(int p, int c){
        for(; p <= n; p += p & -p) tree[p] += c;
    }

    int get(int p){
        int ans = 0;
        for(; p > 0; p -= p & -p) ans += tree[p];
        return ans;
    }

    int get(int l, int r){
        return get(r) - get(l - 1);
    }
};

const int MAX = 1e5 + 10;

int N, Q;
int S[MAX], T[MAX], X[MAX], Y[MAX], Z[MAX], ans[MAX];

void process1(vector<pair<ll, ll>> A, vector<array<ll, 3>> queries){
    sort(ALL(A), greater<pair<ll, ll>>());
    sort(ALL(queries), greater<array<ll, 3>>());

    vector<ll> tmp;
    for(auto t: A) tmp.push_back(t.se);
    for(auto t: queries) tmp.push_back(t[1]);
    cps(tmp);

    auto pos = [&](ll c) -> int{
        return lower_bound(ALL(tmp), c) - tmp.begin() + 1;
    };

    fen bit(sz(tmp));
    int i = 0;
    for(auto x: queries){
        while(i < sz(A) && A[i].fi >= x[0]){
            bit.upd(pos(A[i].se), 1);
            i++;
        }
        ans[x[2]] += bit.get(pos(x[1]), sz(tmp));
    }
}

void process2(vector<pair<ll, ll>> A, vector<array<ll, 4>> queries){
    sort(ALL(A), greater<pair<ll, ll>>());
    sort(ALL(queries), greater<array<ll, 4>>());

    vector<ll> tmp;
    for(auto t: A) tmp.push_back(t.se);
    for(auto t: queries) tmp.push_back(t[1]), tmp.push_back(t[2]);
    cps(tmp);

    auto pos = [&](ll c) -> int{
        return lower_bound(ALL(tmp), c) - tmp.begin() + 1;
    };

    fen bit(sz(tmp));
    int i = 0;
    for(auto x: queries){
        while(i < sz(A) && A[i].fi >= x[0]){
            bit.upd(pos(A[i].se), 1);
            i++;
        }
        ans[x[3]] += bit.get(pos(x[1]), pos(x[2]));
    }
}

void solve(){
    cin >> N >> Q;
    for(int i = 1; i <= N; i++) cin >> S[i] >> T[i];
    for(int i = 1; i <= Q; i++) cin >> X[i] >> Y[i] >> Z[i];

    //situation 1: X[i] + Y[i] >= Z[i]
    vector<pair<ll, ll>> A;
    vector<array<ll, 3>> queries1;
    for(int i = 1; i <= N; i++) A.push_back({S[i], T[i]});
    for(int i = 1; i <= Q; i++) if(X[i] + Y[i] >= Z[i]){
        queries1.push_back({X[i], Y[i], i});
    }
    process1(A, queries1);

    //situation 2: X[i] + Y[i] < Z[i]
    //TH1: S[i] <= Z[i] - Y[i]
    A.clear();
    vector<array<ll, 4>> queries2;
    for(int i = 1; i <= N; i++) A.push_back({S[i] + T[i], S[i]});
    for(int i = 1; i <= Q; i++) if(X[i] + Y[i] < Z[i]){
        queries2.push_back({Z[i], X[i], Z[i] - Y[i], i});
    }
    process2(A, queries2);

    //TH2: S[i] > Z[i] - Y[i] > X[i] -> just count T[i] >- Y[i]
    queries1.clear();
    A.clear();
    for(int i = 1; i <= N; i++) A.push_back({S[i], T[i]});
    for(int i = 1; i <= Q; i++) if(X[i] + Y[i] < Z[i]){
        queries1.push_back({Z[i] - Y[i] + 1, Y[i], i});
    }
    process1(A, queries1);

    //print result
    for(int i = 1; i <= Q; i++){
        cout << ans[i] << '\n';
    }
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);
//    freopen("task.inp","r",stdin);
//    freopen("task.out","w",stdout);

    int T = 1;
//    cin >> T;
    for(; T; T--) solve();

    return 0;
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 4 ms 1084 KB Output is correct
8 Correct 5 ms 1088 KB Output is correct
9 Correct 5 ms 1084 KB Output is correct
10 Correct 4 ms 860 KB Output is correct
11 Correct 5 ms 1112 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 4 ms 984 KB Output is correct
14 Correct 4 ms 860 KB Output is correct
15 Correct 4 ms 860 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 3 ms 860 KB Output is correct
18 Correct 2 ms 860 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 16664 KB Output is correct
2 Correct 128 ms 16712 KB Output is correct
3 Correct 121 ms 16580 KB Output is correct
4 Correct 85 ms 15812 KB Output is correct
5 Correct 101 ms 15828 KB Output is correct
6 Correct 72 ms 15104 KB Output is correct
7 Correct 129 ms 16548 KB Output is correct
8 Correct 116 ms 16596 KB Output is correct
9 Correct 125 ms 16316 KB Output is correct
10 Correct 91 ms 15816 KB Output is correct
11 Correct 74 ms 15920 KB Output is correct
12 Correct 54 ms 15048 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 16664 KB Output is correct
2 Correct 128 ms 16712 KB Output is correct
3 Correct 121 ms 16580 KB Output is correct
4 Correct 85 ms 15812 KB Output is correct
5 Correct 101 ms 15828 KB Output is correct
6 Correct 72 ms 15104 KB Output is correct
7 Correct 129 ms 16548 KB Output is correct
8 Correct 116 ms 16596 KB Output is correct
9 Correct 125 ms 16316 KB Output is correct
10 Correct 91 ms 15816 KB Output is correct
11 Correct 74 ms 15920 KB Output is correct
12 Correct 54 ms 15048 KB Output is correct
13 Correct 171 ms 16724 KB Output is correct
14 Correct 154 ms 16060 KB Output is correct
15 Correct 127 ms 16584 KB Output is correct
16 Correct 122 ms 15984 KB Output is correct
17 Correct 141 ms 16032 KB Output is correct
18 Correct 71 ms 14276 KB Output is correct
19 Correct 169 ms 16780 KB Output is correct
20 Correct 161 ms 16248 KB Output is correct
21 Correct 194 ms 18288 KB Output is correct
22 Correct 94 ms 15808 KB Output is correct
23 Correct 75 ms 15816 KB Output is correct
24 Correct 54 ms 15156 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 4 ms 1084 KB Output is correct
8 Correct 5 ms 1088 KB Output is correct
9 Correct 5 ms 1084 KB Output is correct
10 Correct 4 ms 860 KB Output is correct
11 Correct 5 ms 1112 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 4 ms 984 KB Output is correct
14 Correct 4 ms 860 KB Output is correct
15 Correct 4 ms 860 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 3 ms 860 KB Output is correct
18 Correct 2 ms 860 KB Output is correct
19 Correct 125 ms 16664 KB Output is correct
20 Correct 128 ms 16712 KB Output is correct
21 Correct 121 ms 16580 KB Output is correct
22 Correct 85 ms 15812 KB Output is correct
23 Correct 101 ms 15828 KB Output is correct
24 Correct 72 ms 15104 KB Output is correct
25 Correct 129 ms 16548 KB Output is correct
26 Correct 116 ms 16596 KB Output is correct
27 Correct 125 ms 16316 KB Output is correct
28 Correct 91 ms 15816 KB Output is correct
29 Correct 74 ms 15920 KB Output is correct
30 Correct 54 ms 15048 KB Output is correct
31 Correct 171 ms 16724 KB Output is correct
32 Correct 154 ms 16060 KB Output is correct
33 Correct 127 ms 16584 KB Output is correct
34 Correct 122 ms 15984 KB Output is correct
35 Correct 141 ms 16032 KB Output is correct
36 Correct 71 ms 14276 KB Output is correct
37 Correct 169 ms 16780 KB Output is correct
38 Correct 161 ms 16248 KB Output is correct
39 Correct 194 ms 18288 KB Output is correct
40 Correct 94 ms 15808 KB Output is correct
41 Correct 75 ms 15816 KB Output is correct
42 Correct 54 ms 15156 KB Output is correct
43 Correct 189 ms 18700 KB Output is correct
44 Correct 204 ms 18708 KB Output is correct
45 Correct 164 ms 18000 KB Output is correct
46 Correct 120 ms 17304 KB Output is correct
47 Correct 138 ms 17272 KB Output is correct
48 Correct 90 ms 16796 KB Output is correct
49 Correct 185 ms 18504 KB Output is correct
50 Correct 203 ms 20132 KB Output is correct
51 Correct 219 ms 23052 KB Output is correct
52 Correct 129 ms 17296 KB Output is correct
53 Correct 82 ms 16576 KB Output is correct