Submission #366039

#	Time	Username	Problem	Language	Result	Execution time	Memory
366039		cheissmart	Zoltan (COCI16_zoltan)	C++14	21 / 140	3 ms	2284 KiB

zoltan

#include <bits/stdc++.h>
#define F first
#define S second
#define PB push_back
#define MP make_pair
#define EB emplace_back
#define V vector
#define ALL(v) (v).begin(), (v).end()
#define debug(x) cerr << #x << " is " << (x) << endl

using namespace std;

typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;

const int INF = 1e9 + 7, N = 2e4 + 7, M = 1e9 + 7;

int n;

pi add(pi a, pi b) {
	if(a.F > b.F) return a;
	else if(a.F < b.F) return b;
	a.S = (a.S + b.S) % M;
	return a;
}

struct seg_tree_mx {
	pi t[N * 4];
	seg_tree_mx() {
		build();
	}
	void build(int v = 1, int tl = 0, int tr = n) {
		if(tr - tl == 1) {
			t[v] = {-1, 0};
			return;
		}
		int tm = (tl + tr) / 2;
		build(v * 2, tl, tm);
		build(v * 2 + 1, tm, tr);
		t[v] = add(t[v * 2], t[v * 2 + 1]);
	}
	pi qry(int l, int r, int v = 1, int tl = 0, int tr = n) {
		if(l >= r) return {-1, 0};
		if(l <= tl && tr <= r)
			return t[v];
		int tm = (tl + tr) / 2;
		pi ans = {-1, 0};
		if(l < tm) ans = add(ans, qry(l, r, v * 2, tl, tm));
		if(r > tm) ans = add(ans, qry(l, r, v * 2 + 1, tm, tr));
		return ans;
	}
	void upd(int pos, pi val, int v = 1, int tl = 0, int tr = n) {
		if(tr - tl == 1) {
			t[v] = add(t[pos], val);
			return;
		}
		int tm = (tl + tr) / 2;
		if(pos < tm) upd(pos, val, v * 2, tl, tm);
		else upd(pos, val, v * 2 + 1, tm, tr);
		t[v] = add(t[v * 2], t[v * 2 + 1]);
	}
};

int a[N];

pi dp_up[N], dp_down[N];

signed main()
{
	ios::sync_with_stdio(0), cin.tie(0);

	cin >> n;

	seg_tree_mx up, down;
	vi compress;

	for(int i = 0; i < n; i++) cin >> a[i], compress.PB(a[i]);

	sort(ALL(compress));
	compress.resize(unique(ALL(compress)) - compress.begin());

	auto add_one = [&] (pi a) {
		a.F++;
		return a;
	};

	for(int i = n - 1; i >= 0; i--) {
		a[i] = lower_bound(ALL(compress), a[i]) - compress.begin();
		dp_up[i] = dp_down[i] = {1, 1};
		dp_up[i] = add(dp_up[i], add_one(up.qry(a[i] + 1, n)));
		dp_down[i] = add(dp_down[i], add_one(down.qry(0, a[i])));
		up.upd(a[i], dp_up[i]);
		down.upd(a[i], dp_down[i]);
	}

	pi ans = {-1, 0};

	auto merge = [&] (pi a, pi b) {
		pi c = MP(a.F + b.F, (ll) a.S * b.S % M);
		return c;
	};

	for(int i = 0; i < n; i++) {
		ans = add(ans, dp_up[i]);
		ans = add(ans, dp_down[i]);
	}

	V<pi> up_sum(n, MP(-1, 0)), down_sum(n, MP(-1, 0));
	for(int i = 0; i < n; i++) {
		up_sum[a[i]] = add(up_sum[a[i]], dp_up[i]);
		down_sum[a[i]] = add(down_sum[a[i]], dp_down[i]);
	}
	for(int i = n - 2; i >= 0; i--)
		up_sum[i] = add(up_sum[i], up_sum[i + 1]);
	for(int i = 1; i < n; i++)
		down_sum[i] = add(down_sum[i], down_sum[i - 1]);
	for(int i = 0; i < n - 1; i++)
		ans = add(ans, merge(down_sum[i], up_sum[i + 1]));

	int inv2 = (M + 1) / 2;

	ans.S = (ll) ans.S * inv2 % M;
	for(int i = 0; i < n - ans.F; i++)
		ans.S = (ll) ans.S * 2 % M;
	
	cout << ans.F << " " << ans.S << '\n';

}

• Subtask 1: 21 / 140