Submission #996903

# Submission time Handle Problem Language Result Execution time Memory
996903 2024-06-11T12:04:19 Z otarius Zoltan (COCI16_zoltan) C++17
140 / 140
247 ms 19904 KB
#include <bits/stdc++.h>
using namespace std;
#define ff first
#define sc second
#define int long long
#define ll long long
#define pii pair<int, int>
#define pb push_back
const ll mod = 1e9 + 9;
const ll inf = 1e9 + 7;
pii inc[1000040], der[1000040];
pii getinc(int v, int tl, int tr, int l, int r) {
    if (l > r) return {0, 0};
    if (tl == l && tr == r)
        return inc[v];
    int tm = (tl + tr) / 2;
    pii x = getinc(2 * v, tl, tm, l, min(r, tm));
    pii y = getinc(2 * v + 1, tm + 1, tr, max(l, tm + 1), r);
    if (x.ff == y.ff) return {x.ff, (x.sc + y.sc) % inf};
    return max(x, y);
}
pii getder(int v, int tl, int tr, int l, int r) {
    if (l > r) return {0, 0};
    if (tl == l && tr == r)
        return der[v];
    int tm = (tl + tr) / 2;
    pii x = getder(2 * v, tl, tm, l, min(r, tm));
    pii y = getder(2 * v + 1, tm + 1, tr, max(l, tm + 1), r);
    if (x.ff == y.ff) return {x.ff, (x.sc + y.sc) % inf};
    return max(x, y);
}
void updinc(int v, int tl, int tr, int pos, pii val) {
    if (tl == tr) {
        if (inc[v].ff < val.ff)
            inc[v] = val;
        else if (inc[v].ff == val.ff)
            inc[v].sc += val.sc;
        return;
    } int tm = (tl + tr) / 2;
    if (pos <= tm) updinc(2 * v, tl, tm, pos, val);
    else updinc(2 * v + 1, tm + 1, tr, pos, val); 
    if (inc[2 * v].ff == inc[2 * v + 1].ff) inc[v] = {inc[2 * v].ff, (inc[2 * v].sc + inc[2 * v + 1].sc) % inf};
    else inc[v] = max(inc[2 * v], inc[2 * v + 1]);
}
void updder(int v, int tl, int tr, int pos, pii val) {
    if (tl == tr) {
        if (der[v].ff < val.ff)
            der[v] = val;
        else if (der[v].ff == val.ff)
            der[v].sc += val.sc;
        return;
    } int tm = (tl + tr) / 2;
    if (pos <= tm) updder(2 * v, tl, tm, pos, val);
    else updder(2 * v + 1, tm + 1, tr, pos, val);
    if (der[2 * v].ff == der[2 * v + 1].ff) der[v] = {der[2 * v].ff, (der[2 * v].sc + der[2 * v + 1].sc) % inf};
    else der[v] = max(der[2 * v], der[2 * v + 1]);
}
ll binpow(ll a, ll b) {
    ll res = 1; a %= inf;
    while (b) {
        if (b & 1) {
            res = res * a % inf;
        } a = a * a % inf;
        b /= 2;
    } return res;
}
void solve() {
    int n;
    cin >> n;
    vector<int> v;
    int arr[n + 1];
    for (int i = 1; i <= n; i++) {
        cin >> arr[i]; v.pb(arr[i]);
    } sort(v.begin(), v.end());
    v.resize(unique(v.begin(), v.end()) - v.begin());
    for (int i = 1; i <= n; i++)
        arr[i] = lower_bound(v.begin(), v.end(), arr[i]) - v.begin() + 1;
    pii ans = {0, 0};
    for (int i = n; i >= 1; i--) {
        pii up = getinc(1, 1, n, arr[i] + 1, n);
        pii dw = getder(1, 1, n, 1, arr[i] - 1);
        if (up.ff == 0) up.sc = 1;
        if (dw.ff == 0) dw.sc = 1;
        up.ff++; dw.ff++;
        pii now = {up.ff + dw.ff - 1, (up.sc * dw.sc) % inf};
        if (now.ff == ans.ff) (ans.sc += now.sc) %= inf;
        else if (now.ff > ans.ff) ans = now;
        updinc(1, 1, n, arr[i], up);
        updder(1, 1, n, arr[i], dw);
    } ans.sc %= inf;
    cout << ans.ff << ' ' << (ans.sc * binpow(2, n - ans.ff)) % inf;
    
}
int32_t main() {
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
        cout << endl;
    }
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 2 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 141 ms 19392 KB Output is correct
12 Correct 122 ms 18876 KB Output is correct
13 Correct 111 ms 10696 KB Output is correct
14 Correct 181 ms 19056 KB Output is correct
15 Correct 206 ms 19644 KB Output is correct
16 Correct 247 ms 19904 KB Output is correct
17 Correct 189 ms 17852 KB Output is correct
18 Correct 181 ms 17596 KB Output is correct
19 Correct 175 ms 17596 KB Output is correct
20 Correct 170 ms 17596 KB Output is correct