Submission #1288621

#TimeUsernameProblemLanguageResultExecution timeMemory
1288621thieunguyenhuyBubble Sort 2 (JOI18_bubblesort2)C++20
100 / 100
2174 ms198056 KiB
#ifndef hwe
	#include "bubblesort2.h"
#endif
#include <bits/stdc++.h>
using namespace std;

#define POPCOUNT(n) (__builtin_popcountll((n)))
#define CLZ(n) (__builtin_clzll((n)))
#define CTZ(n) (__builtin_ctzll((n)))
#define LOG(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))

#define Int __int128
#define fi first
#define se second

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;

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

template <class T> void remove_duplicate(vector<T> &ve) {
    sort (ve.begin(), ve.end());
    ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}

mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
long long random(long long l, long long r) {
    return uniform_int_distribution<long long>(l, r)(rng);
}
template <class T> T random(T r) {
    return rng() % r;
}

const int N = 1e6 + 5;
const int MOD = 1e9 + 7;
const int inf = 1e9;
const long long INF = 1e18;

set<int> s[N];

struct SegmentTree {
    vector<ll> nodes, lazy;
    int n;

    SegmentTree() {}

    void resize(int _n) { // 1-index
        n = _n; nodes.assign(4 * n + 5, 0), lazy.assign(4 * n + 5, 0);
    }

    void apply(int id, int l, int r, int val) {
        nodes[id] += val;
        lazy[id] += val;
    }

    void push_down(int id, int l, int r) {
        if (lazy[id] == 0) return;
        int mid = (l + r) >> 1;
        apply(id << 1, l, mid, lazy[id]);
        apply(id << 1 | 1, mid + 1, r, lazy[id]);
        lazy[id] = 0;
    }

    void update(int id, int l, int r, int u, int v, int val) {
        if (l > v || r < u) return;
        if (u <= l && r <= v) {
            apply(id, l, r, val);
            return;
        }
        push_down(id, l, r); int mid = (l + r) >> 1;
        update(id << 1, l, mid, u, v, val);
        update(id << 1 | 1, mid + 1, r, u, v, val);
        nodes[id] = max(nodes[id << 1], nodes[id << 1 | 1]);
    }

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

    ll get(int id, int l, int r, int u, int v) {
        if (l > v || r < u) return 0;
        if (u <= l && r <= v) return nodes[id];
        push_down(id, l, r); int mid = (l + r) >> 1;
        return max(get(id << 1, l, mid, u, v), get(id << 1 | 1, mid + 1, r, u, v));
    }

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

// value: (max index) - (num not greater)
// ans = max for all values

vector<int> countScans(vector<int> a, vector<int> x, vector<int> v) {
	int n = a.size(), q = x.size();

	vector<int> values;
	for (auto val : a) values.emplace_back(val);
	for (auto val : v) values.emplace_back(val);

	remove_duplicate(values);
	auto cmp = [&](int x) {
		return lower_bound(values.begin(), values.end(), x) - values.begin() + 1;
	};

	for (int i = 1; i <= values.size(); ++i) {
		s[i].clear();
		s[i].emplace(0);
	}
	mytree.resize(values.size());

	for (int i = 0; i < n; ++i) {
		int val = cmp(a[i]);
		s[val].emplace(i + 1);
		mytree.update(val, values.size(), -1);
	}

	for (int i = 1; i <= values.size(); ++i) {
		mytree.update(i, i, *s[i].rbegin());
	}

	vector<int> ans(q);
	for (int i = 0; i < q; ++i) {
		// a[x[i]] = v[i]
		int val1 = cmp(a[x[i]]), val2 = cmp(v[i]);
		int tmp = *s[val1].rbegin(); s[val1].erase(x[i] + 1);
		mytree.update(val1, val1, *s[val1].rbegin() - tmp);

		tmp = *s[val2].rbegin(); s[val2].emplace(x[i] + 1);
		mytree.update(val2, val2, *s[val2].rbegin() - tmp);

		mytree.update(val1, values.size(), 1);
		mytree.update(val2, values.size(), -1);

		ans[i] = mytree.nodes[1];
		a[x[i]] = v[i];
	}

	return ans;
}

#ifdef hwe
signed main() {
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);

    int n, q; cin >> n >> q;

    vector<int> a(n);
    for (auto &x : a) cin >> x;

    vector<int> x(q), v(q);
	for (int i = 0; i < q; ++i) cin >> x[i] >> v[i];

	vector<int> ans = countScans(a, x, v);
	for (int i = 0; i < q; ++i) cerr << ans[i] << '\n';

    return 0;
}
#endif
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