Submission #1198863

#TimeUsernameProblemLanguageResultExecution timeMemory
1198863zyadhanySails (IOI07_sails)C++20
5 / 100
98 ms10056 KiB
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
#include <unordered_map>
#include <unordered_set>
 
#define ll long long
#define ld long double
#define pl pair<ll, ll>
#define vi vector<long long>
#define vii vector<vi>
#define vc vector<char>
#define vcc vector<vc>
#define vp vector<pl>
#define mi map<ll,ll>
#define mc map<char,int>
#define sortx(X) sort(X.begin(),X.end());
#define all(X) X.begin(),X.end()
#define allr(X) X.rbegin(),X.rend()
#define ln '\n'
#define YES {cout << "YES\n"; return;}
#define NO {cout << "NO\n"; return;}
#define MUN {cout << "-1\n"; return;}
using namespace std;
 
const int MODE = 1e9+7;


/**
 * usage:-
 * creat tree element.
 * SegmentTree sg;
 * 
 * Functions you can use:
 * @set: set index or range to value.
 * @geteange: get value of given range.
 * @build: build tree with given vector or size.
 * 
 * make sure to look at item typedef.
 * you can change merge function to change it's oppration.
 * it you want to make change to segment work in checkLazy().
*/

typedef long long item;
/*
struct item
{
    int val;

    item(){
        val = 0;
    }
};
*/

class SegmentTree
{
public:

    void set(int index, int value) {
        set(0, 0, size - 1, index, value);
    }
    void set(int l, int r, int value) {
        set(0, 0, size - 1, l, r, value);
    }

    item getrange(int l, int r) {
        return (getrange(0, 0, size - 1, l, r));
    }

    void build(int n) {
        size = 1;
        while (size < n)
            size *= 2;
        tree.assign(size * 2, item());
        lazy.assign(size * 2, 0);
    }

    void build(vector<item>& X) {
        size = 1;
        while (size < X.size())
            size *= 2;
        tree.assign(size * 2, item());
        lazy.assign(size * 2, 0);

        build(X, 0, 0, size - 1);
    }

private:
    int size;
    vector<item> tree;
    vector<long long> lazy;

    item merge(item &a, item &b) {
        item res = a + b;
        return (res);
    }

    void checkLazy(int m, int lx, int rx) {
        if (!lazy[m]) return;
        tree[m] += lazy[m] * (rx - lx + 1);
        
        if (lx != rx) {
            lazy[2 * m + 1] += lazy[m];
            lazy[2 * m + 2] += lazy[m];
        }

        lazy[m] = 0;
    }

    void set(int m, int lx, int rx, int pos, int val) {
        checkLazy(m, lx, rx);
        if (pos < lx || rx < pos) return;
        if (lx == rx && lx == pos)
        {
            tree[m] = val;
            return;
        }

        int mid = (lx + rx) / 2;
        item s1, s2;

        set(m * 2 + 1, lx, mid, pos, val);
        set(m * 2 + 2, mid + 1, rx, pos, val);
        s1 = tree[m * 2 + 1], s2 = tree[m * 2 + 2];

        tree[m] = merge(s1, s2);
    }

    void set(int m, int lx, int rx, int l, int r, int val) {
        checkLazy(m, lx, rx);
        if (rx < l || r < lx) return;
        if (l <= lx && rx <= r)
        {
            lazy[m] = val;
            checkLazy(m, lx, rx);
            return;
        }

        int mid = (lx + rx) / 2;
        item s1, s2;

        set(m * 2 + 1, lx, mid, l, r, val);
        set(m * 2 + 2, mid + 1, rx, l, r, val);
        s1 = tree[m * 2 + 1], s2 = tree[m * 2 + 2];

        tree[m] = merge(s1, s2);
    }

    item getrange(int m, int lx, int rx, int l, int r) {
        checkLazy(m, lx, rx);
        if (rx < l || r < lx) return (0);
        if (l <= lx && rx <= r) return (tree[m]);

        int mid = (lx + rx) / 2;
        item s1, s2;

        s1 = getrange(m * 2 + 1, lx, mid, l, r);
        s2 = getrange(m * 2 + 2, mid + 1, rx, l, r);

        return merge(s1, s2);
    }

    void build(vector<item>& X, int m, int lx, int rx) {
        if (lx == rx) {
            if (lx < X.size()) tree[m] = X[lx];
            return;
        }

        int mid = (lx + rx) / 2;
        item s1, s2;

        build(X, m * 2 + 1, lx, mid);
        build(X, m * 2 + 2, mid + 1, rx);
        s1 = tree[m * 2 + 1], s2 = tree[m * 2 + 2];

        tree[m] = merge(s1, s2);
    }
};


void solve(int tc) {
    ll n;

    cin >> n;

    vp X(n);
    for (int i = 0; i < n; i++)
    {
        cin >> X[i].first >> X[i].second;
    }

    ll at = INT32_MAX;
    sort(X.rbegin(), X.rend());
    
    SegmentTree sg;
    sg.build(2e5);

    for (auto [a, b] : X) {
        if (at > a) at = a;

        ll l = max(1ll, at - b + 1);
        sg.set(l, at, 1);
        b -= at - l + 1;
        at = l - 1;
        if (!at) at = a;

        if (b) {
            l = max(1ll, at - b + 1);
            sg.set(l, at, 1);
            b -= at - l + 1;
            at = l - 1;
            if (!at) at = a;
        }
    }

    ll sol = 0;
    for (int i = 0; i < 2e5; i++)
    {
        ll re = sg.getrange(i, i)-1;
        sol += re * (re + 1) / 2;
    }
    cout << sol << '\n';
}
 
signed main()
{
    ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
    int size = 1;    
 
    // freopen("slingshot.in", "r", stdin);
    // freopen("slingshot.out", "w", stdout);
 
    // cin >> size;
    for (int i = 1; i <= size; i++) solve(i);
    return 0;
}
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