Submission #55184

#	Time	Username	Problem	Language	Result	Execution time	Memory
55184		polyfish	Zoltan (COCI16_zoltan)	C++14	140 / 140	173 ms	7664 KiB

zoltan

//I love armpit fetish

#include <bits/stdc++.h>
using namespace std;
 
#define debug(x) cerr << #x << " = " << x << '\n';
#define BP() cerr << "OK!\n";
#define PR(A, n) {cerr << #A << " = "; for (int _=1; _<=n; ++_) cerr << A[_] << ' '; cerr << '\n';}
#define PR0(A, n) {cerr << #A << " = "; for (int _=0; _<n; ++_) cerr << A[_] << ' '; cerr << '\n';}
#define FILE_NAME "data"

const int MAX_N = 200002;
const int MOD = 1000000007;

struct fenwick_tree {
	vector<pair<int, int> > bit;
	int n;

	fenwick_tree(int _n) {
		n = _n;
		bit.resize(n, make_pair(0, 0));
	}

	void upd(int id, pair<int, int> val) {
		for (; id<=n; id += id & (-id)) {
			if (bit[id].first==val.first)
				bit[id].second = (bit[id].second + val.second) % MOD;
			else
				bit[id] = max(bit[id], val);
		}
	}

	pair<int, int> get(int id) {
		pair<int, int> res(0, 0);
		if (id==0)
			return res;
		for (; id>0; id -= id & (-id)) {
			if (bit[id].first==res.first) {
				res.second = (res.second + bit[id].second) % MOD;
			}
			else {
				res = max(res, bit[id]);
			}
		}
		return res;
	}
};

int n, a[MAX_N];
pair<int, int> lis[MAX_N], lds[MAX_N];
vector<pair<int, int> > b;

void enter() {
	cin >> n;
	for (int i=1; i<=n; ++i)
		cin >> a[i];
}

void compress() {
	for (int i=1; i<=n; ++i)
		b.push_back(make_pair(a[i], i));
	sort(b.begin(), b.end());
	int cnt = 0;
	for (int i=0; i<b.size(); ++i) {
		if (i==0 || b[i].first!=b[i-1].first)
			++cnt;
		a[b[i].second] = cnt;
	}
}

void find_lis() {
	fenwick_tree tr(n);
	for (int i=n; i>=1; --i) {
		lis[i] = tr.get(a[i]-1);
		++lis[i].first;
		if (lis[i].second==0)
			++lis[i].second;
		tr.upd(a[i], lis[i]);
	}
}

void find_lds() {
	fenwick_tree tr(n);
	for (int i=n; i>=1; --i) {
		lds[i] = tr.get(n - a[i]);
		++lds[i].first;
		if (lds[i].second==0)
			++lds[i].second;
		tr.upd(n - a[i] + 1, lds[i]);
	}
}

int64_t pw(int n, int k) {
	if (k==0)
		return 1;
	int64_t tmp = pw(n, k/2);
	if (k%2)
		return tmp * tmp % MOD * n % MOD;
	return tmp * tmp % MOD;
}

void solve() {
	int len = 0;
	int64_t cnt = 0;
	for (int i=1; i<=n; ++i)
		len = max(len, lis[i].first + lds[i].first - 1);
	for (int i=1; i<=n; ++i) {
		if (lis[i].first + lds[i].first - 1 == len) {
			int64_t tmp = 1LL * lis[i].second * lds[i].second % MOD 
						* pw(2, n - lis[i].first - lds[i].first + 1) % MOD;
			cnt = (cnt + tmp) % MOD;
		}
	}
	cout << len << ' ' << cnt;
}

int main() {
	//#define OFFLINE_JUDGE doraemon
	#ifdef OFFLINE_JUDGE
		freopen(FILE_NAME".inp", "r", stdin);
		freopen(FILE_NAME".out", "w", stdout);
	#endif
	ios::sync_with_stdio(0); cin.tie(0);
	enter();
	compress();
	find_lis();
	find_lds();
	solve();
}

Compilation message (stderr)

zoltan.cpp: In function 'void compress()':
zoltan.cpp:64:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i=0; i<b.size(); ++i) {
                ~^~~~~~~~~

• Subtask 1: 140 / 140