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Submission #1083958

# Submission time Handle Problem Language Result Execution time Memory
1083958 2024-09-04T16:03:57 Z steveonalex Sails (IOI07_sails) C++17
100 / 100
 112 ms 5420 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
    double cur = rngesus(0, MASK(60) - 1);
    cur /= MASK(60) - 1;
    return l + cur * (r - l);
}
 
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 T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

struct SegmentTree{
    struct Node{
        int val, lazy;
        Node(){val = lazy = 0;}
    };

    int n;
    vector<Node> a;

    SegmentTree(int _n){
        n = _n;
        a.resize(n * 4 + 4);
    }

    void down(int id){
        #define push(i) {a[i].val += a[id].lazy; a[i].lazy += a[id].lazy;}
        push(id * 2); push(id * 2 + 1);
        a[id].lazy = 0;
    }

    void update(int u, int v, int val, int l, int r, int id){
        if (u <= l && r <= v){
            a[id].val += val;
            a[id].lazy += val;
            return;
        }
        down(id);
        int mid = (l + r) >> 1;
        if (u <= mid) update(u, v, val, l, mid, id * 2);
        if (v > mid) update(u, v, val, mid + 1, r, id * 2 + 1);
        a[id].val = max(a[id * 2].val, a[id * 2 + 1].val);
    }

    void update(int u, int v, int val){update(u, v, val, 1, n, 1);}

    int get(int u, int v, int l, int r, int id){
        if (u <= l && r <= v) return a[id].val;
        down(id);
        int mid = (l + r) >> 1;

        int ans = 0;
        if (u <= mid) maximize(ans, get(u, v, l, mid, id * 2));
        if (v > mid) maximize(ans, get(u, v, mid + 1, r, id * 2 + 1));
        return ans;
    }

    int get(int u, int v){return get(u, v, 1, n, 1);}

    int walk(int v){
        int id = 1, l = 1, r = n;
        while(l < r){
            down(id);
            int mid = (l + r) >> 1;
            if (a[id * 2 + 1].val >= v){
                l = mid + 1;
                id = id * 2 + 1;
            }
            else{
                r = mid;
                id = id * 2;
            }
        }
        if (a[id].val < v) return 0;
        return l;
    }
};

int main(void){
    ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
    clock_t start = clock();

    const int N = 1e5 + 69;
    int n; cin >> n;
    vector<pair<int, int>> a(n);
    for(int i = 0; i<n; ++i) cin >> a[i].first >> a[i].second;

    sort(ALL(a));

    SegmentTree st(N);
    for(pair<int,int> i: a){
        int idx = i.first - i.second + 1;
        int cur = st.get(idx,idx);
        int l = st.walk(cur + 1) + 1, r = st.walk(cur);
        minimize(r, i.first);
        st.update(l, i.first, 1);

        int excess = idx - l;
        if (excess) st.update(r - excess + 1, r, -1);
    }

    ll ans = 0;
    for(int i = 1; i<N; ++i){
        int cur = st.get(i, i);
        ans += 1LL * cur * (cur - 1) / 2;
    }
    cout << ans << "\n";

    cerr << "Time elapsed: " << clock() - start << " ms\n";
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 3416 KB Output is correct
2 Correct 8 ms 3600 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 3420 KB Output is correct
2 Correct 11 ms 3420 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 3416 KB Output is correct
2 Correct 8 ms 3672 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 3420 KB Output is correct
2 Correct 9 ms 3420 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 3612 KB Output is correct
2 Correct 10 ms 3612 KB Output is correct

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 3416 KB Output is correct
2 Correct 33 ms 4116 KB Output is correct

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 3672 KB Output is correct

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 3928 KB Output is correct

Subtask #9
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 86 ms 4132 KB Output is correct
2 Correct 85 ms 4952 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 86 ms 4184 KB Output is correct
2 Correct 92 ms 4876 KB Output is correct

Subtask #11
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 4188 KB Output is correct
2 Correct 95 ms 5420 KB Output is correct