Submission #243533

#TimeUsernameProblemLanguageResultExecution timeMemory
243533VEGAnnZoltan (COCI16_zoltan)C++14
140 / 140
126 ms5940 KiB
#include <bits/stdc++.h>
#define all(x) x.begin(),x.end()
#define sz(x) ((int)x.size())
#define i2 array<int,2>
#define PB push_back
using namespace std;
const int N = 200100;
const int oo = 2e9;
const int md = int(1e9) + 7;
i2 ans, st[2][N];
vector<int> vc;
int n, a[N], po[N];

int mult(int x, int y) { return (1ll * x * y) % md; }

void SUM(int &x, int y){
    x += y;
    if (x >= md)
        x -= md;
}

void upd(i2 &cr, i2 nw){
    if (nw[0] > cr[0])
        cr = nw; else
    if (nw[0] == cr[0]){
        SUM(cr[1], nw[1]);
    }
}

i2 get(int tp, int v){
    i2 res = {0, 0};

    for (; v >= 0; v = (v & (v + 1)) - 1)
        upd(res, st[tp][v]);

    return res;
}

void update(int tp, int v, i2 vl){
    for (; v < sz(vc); v = (v | (v + 1)))
        upd(st[tp][v], vl);
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

#ifdef _LOCAL
    freopen("in.txt","r",stdin);
#endif // _LOCAL

    cin >> n;

    for (int i = 0; i < n; i++) {
        cin >> a[i];
        vc.PB(a[i]);
    }

    sort(all(vc));
    vc.resize(unique(all(vc)) - vc.begin());

    for (int i = 0; i < n; i++)
        a[i] = lower_bound(all(vc), a[i]) - vc.begin();

    po[0] = 1;

    for (int i = 1; i <= n; i++) {
        po[i] = po[i - 1];
        SUM(po[i], po[i - 1]);
    }

    for (int i = n - 1; i >= 0; i--){
        i2 men = get(0, a[i] - 1);
        i2 mex = get(1, sz(vc) - a[i] - 2);

        if (men[0] == 0)
            men[1] = 1;

        if (mex[0] == 0)
            mex[1] = 1;

        int len = men[0] + mex[0] + 1;
        int inv = (n - i) - len;

        i2 cur = {len, mult(po[i + inv], mult(mex[1], men[1]))};

        upd(ans, cur);

        men[0]++;
        mex[0]++;

        update(0, a[i], men);
        update(1, sz(vc) - 1 - a[i], mex);
    }

    cout << ans[0] << " " << ans[1];

    return 0;
}
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