제출 #856521

#제출 시각아이디문제언어결과실행 시간메모리
856521ArminAzimiZoltan (COCI16_zoltan)C++14
0 / 140
191 ms65536 KiB
#include<bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp> 
#include <ext/pb_ds/tree_policy.hpp> 
using namespace __gnu_pbds; 
#define ordered_set tree<pair <int, int>, null_type,less<pair <int, int>>, rb_tree_tag,tree_order_statistics_node_update> 

const int MAXN = 1e6 + 10, MAXM = 1e2 + 10, MOD = 1000000000 + 7, MOD1 = 1e9 + 9, SQ = 350;
const long long INF = 1e9 + 11;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int a[MAXN], seg[4 * MAXN][2], dp[MAXN][2], cnt[MAXN][2], fen[MAXN][2], p2[MAXN];
vector <int> vec[MAXN][2];

void upd(int l, int r, int id, int ind, int val, int index) {
    if (l == r) {
        seg[id][index] = val;
        return;
    }

    int mid = (l + r) / 2;
    if (ind <= mid)
        upd(l, mid, 2 * id, ind, val, index);
    else
        upd(mid + 1, r, 2 * id + 1, ind, val, index);

    seg[id][index] = max(seg[2 * id][index], seg[2 * id + 1][index]);
}

int get(int l, int r, int id, int l1, int r1, int index) {
    if (r < l1 || r1 < l)
        return 0;
    if (l1 <= l && r <= r1)
        return seg[id][index];

    int mid = (l + r) / 2;
    return max(get(l, mid, 2 * id, l1, r1, index), get(mid + 1, r, 2 * id + 1, l1, r1, index));
}

void upd(int x, int val, int ind) {
    x++;
    for (; x < MAXN; x += x & (-x))
        fen[x][ind] = (fen[x][ind] + val) % MOD;
}

int get(int x, int ind) {
    int res = 0;
    for (; x; x -= x & (-x))
        res = (res + fen[x][ind]) % MOD;
    return res;
}

int get(int l, int r, int ind) {
    l++;
    r++;
    return ((get(r, ind) - get(l - 1, ind)) % MOD + MOD) % MOD;
}

void solve() {
    int n;
    cin >> n;

    vector <int> kol;
    p2[0] = 1;
    for (int i = 0; i < n; i++) {
        cin >> a[i];
        p2[i + 1] = 1ll * p2[i] * 2 % MOD;
        kol.push_back(a[i]);
    }

    sort(kol.begin(), kol.end());
    kol.resize(unique(kol.begin(), kol.end()) - kol.begin());

    for (int i = 0; i < n; i++)
        a[i] = lower_bound(kol.begin(), kol.end(), a[i]) - kol.begin();
    
    for (int i = n - 1; i >= 0; i--) {
        dp[i][0] = get(0, n, 1, a[i] + 1, n, 0) + 1;
        dp[i][1] = get(0, n, 1, 0, a[i] - 1, 1) + 1;

        upd(0, n, 1, a[i], dp[i][0], 0);
        upd(0, n, 1, a[i], dp[i][1], 1);
    }

    int ans = 0;
    for (int i = 0; i < n; i++) {
        ans = max(ans, dp[i][0] + dp[i][1] - 1);
        vec[dp[i][0]][0].push_back(i);
        vec[dp[i][1]][1].push_back(i);

        if (dp[i][0] == 1)
            cnt[i][0] = 1;
        if (dp[i][1] == 1)
            cnt[i][1] = 1;
    }

    for (int i = 1; i < ans; i++) {
        for (int ind: vec[i][0])
            upd(a[ind], cnt[ind][0], 0);
        for (int ind: vec[i][1])
            upd(a[ind], cnt[ind][1], 1);

        // cout << i << " = ";
        // for (int i = 0; i < n; i++)
        //     cout << get(i, i, 0) << " ";
        // cout << "\n";

        for (int ind: vec[i + 1][0])
            cnt[ind][0] = get(a[ind] + 1, n, 0);
        for (int ind: vec[i + 1][1])
            cnt[ind][1] = get(0, a[ind] - 1, 1);
        
        for (int ind: vec[i][0])
            upd(a[ind], -cnt[ind][0], 0);
        for (int ind: vec[i][1])
            upd(a[ind], -cnt[ind][1], 1);
        
    }

    int ans1 = 0;
    for (int i = 0; i < n; i++) {
        if (dp[i][0] + dp[i][1] - 1 == ans) {
            int tmp = 1ll * cnt[i][0] * cnt[i][1] % MOD;
            tmp = 1ll * tmp * p2[n - ans] % MOD;

            ans1 = (ans1 + tmp) % MOD;
        }
    }

    cout << ans << " " << ans1 << "\n";
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    int q = 1;
    // cin >> q;
    
    while (q--) {
        solve();
    }
}
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