Submission #1211927

#TimeUsernameProblemLanguageResultExecution timeMemory
1211927vaneaZoltan (COCI16_zoltan)C++20
112 / 140
221 ms13492 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

const int mxN = 1e6+10;
const int MOD = 1e9+7;

array<array<int, 2>, 2> st[mxN];
vector<int> values;

array<int, 2> comb(array<int, 2> a, array<int, 2> b) {
    array<int, 2> ans;
    if(a[0] == b[0]) {
        ans = {a[0], (a[1]+b[1])%MOD};
    }
    else if(a[0] > b[0]) ans = a;
    else ans = b;
    return ans;
}

array<int, 2> qry(int node, int l, int r, int l1, int r1, int flag) {
    if(l1 <= l && r <= r1) {
        return st[node][flag];
    }
    if(l1 > r || r1 < l) return {0, 0};
    int mid = (l+r)/2;
    return comb(qry(node*2, l, mid, l1, r1, flag),
                qry(node*2+1, mid+1, r, l1, r1, flag));
}

void upd(int node, int l, int r, int k, array<int, 2> x, int flag) {
    if(r == l && r == k) {
        if(x[0] > st[node][flag][0]) {
            st[node][flag][0] = x[0];
            st[node][flag][1] = x[1];
        }
        else if(x[0] == st[node][flag][0]) {
            st[node][flag][1] = (x[1] + st[node][flag][1]) % MOD;
        }
        return ;
    }
    if(l > k || r < k) return ;
    int mid = (l+r)/2;
    upd(node*2, l, mid, k, x, flag);
    upd(node*2+1, mid+1, r, k, x, flag);
    st[node][flag] = comb(st[node*2][flag], st[node*2+1][flag]);
}

int val(int x) {
    return lower_bound(values.begin(), values.end(), x)-values.begin();
}

ll bin_exp(ll a, ll b) {
    ll ans = 1;
    while(b) {
        if(b & 1) ans = (ans * a) % MOD;
        a = (a * a) % MOD;
        b /= 2;
    }
    return ans;
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    vector<int> v(n);
    for(int i = 0; i < n; i++) {
        cin >> v[i];
        values.push_back(v[i]);
    }
    sort(values.begin(), values.end());
    values.erase(unique(values.begin(), values.end()), values.end());
    vector<array<int, 2>> ans1(n), ans2(n);
    for(int i = n-1; i >= 0; i--) {
        v[i] = val(v[i]);
        array<int, 2> now = qry(1, 0, values.size()+1, 0, v[i]-1, 0);
        now[0]++;
        if(now[1] == 0) now[1] = 1;
        ans1[i] = now;
        upd(1, 0, values.size()+1, v[i], now, 0);
    }
    for(int i = n-1; i >= 0; i--) {
        array<int, 2> now = qry(1, 0, values.size()+1, v[i]+1, values.size()+1, 1);
        now[0]++;
        if(now[1] == 0) now[1] = 1;
        ans2[i] = now;
        upd(1, 0, values.size()+1, v[i], now, 1);
    }
    int mx = 0;
    for(int i = 0; i < n; i++) {
        mx = max(mx, ans1[i][0]+ans2[i][0]-1);
    }
    ll cnt = 0;
    for(int i = 0; i < n; i++) {
        if(ans1[i][0]+ans2[i][0]-1 == mx) {
            ll now = (ans1[i][1] * ans2[i][1]) % MOD;
            cnt = (cnt + now) % MOD;
        }
    }
    cnt = (cnt * bin_exp(2, n-mx)) % MOD;
    cout << mx << ' ' << cnt;
    return 0;
}
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