| # | Time | Username | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 737219 | Olympia | Zoltan (COCI16_zoltan) | C++17 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <set>
#include <cmath>
#include <queue>
#include <vector>
#include <cstdlib>
#include <ctime>
#include <cmath>
#include <algorithm>
#include <cassert>
#include <map>
#include <deque>
using namespace std;
const int MOD = 1e9 + 7;
struct Node {
int mx = 0;
int64_t cnt = 0;
Node (int mx, int cnt) {
this->mx = mx, this->cnt = cnt;
}
};
struct SegmentTree {
vector<Node> vec;
Node id = Node(-1, 1);
Node merge (Node left, Node right) {
if (left.mx == -1) return right;
if (right.mx == -1) return left;
if (left.mx > right.mx) return left;
if (left.mx < right.mx) return right;
left.cnt += right.cnt;
left.cnt %= MOD;
return left;
}
Node query (int dum, int tl, int tr, int l, int r) {
if (tl >= l and tr <= r) {
return vec[dum];
}
if (r < tl or tr < l) {
return id;
}
return merge(query(2 * dum + 1, tl, (tl + tr)/2, l, r), query(2 * dum + 2, (tl + tr)/2 + 1, tr, l, r));
}
Node query (int l, int r) {
return query(0, 0, (int)vec.size()/2 - 1, l, r);
}
void update (int dum, Node node) {
dum += (int)vec.size()/2 - 1;
vec[dum] = node;
while (dum != 0) {
dum = (dum - 1)/2;
vec[dum] = merge(vec[2 * dum + 1], vec[2 * dum + 2]);
}
}
SegmentTree (int n) {
n = (1 << (int)log2(n)) * 2;
vec.assign(2 * n, id);
}
};
SegmentTree st;
vector<Node> lis (vector<int>& v) {
st = SegmentTree(v.size());
map<int,vector<int>> oc;
for (int i = 0; i < v.size(); i++) {
oc[-v[i]].push_back(i);
}
vector<Node> vec;
vec.push_back(Node(0, 1));
int used = pow(2, v.size() - 1);
for (auto& p: oc) {
vector<Node> upd;
for (int i: p.second) {
Node node = st.query(i + 1, (int)v.size() - 1);
if (node.mx == -1) {
node = Node(1, 1);
} else {
node.mx += 1;
}
upd.push_back(node);
}
reverse(upd.begin(), upd.end());
for (int i: p.second) {
st.update(i, upd.back()), upd.pop_back();
}
Node g = st.id;
for (int i: p.second) {
g = st.merge(g, st.query(i, i));
}
vec.emplace_back(g);
}
return vec;
}
vector<Node> lds (vector<int>& v) {
st = SegmentTree(v.size());
map<int,vector<int>> oc;
for (int i = 0; i < v.size(); i++) {
oc[v[i]].push_back(i);
}
vector<Node> vec;
vec.push_back(Node(0, 1));
for (auto& p: oc) {
vector<Node> upd;
for (int i: p.second) {
Node node = st.query(i + 1, (int)v.size() - 1);
if (node.mx == -1) {
node = Node(1, 1);
} else {
node.mx += 1;
}
upd.push_back(node);
}
reverse(upd.begin(), upd.end());
for (int i: p.second) {
st.update(i, upd.back()), upd.pop_back();
}
vec.emplace_back(st.query(0, (int)v.size() - 1));
}
reverse(vec.begin(), vec.end());
return vec;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n;
cin >> n;
vector<int> v(n);
for (int i = 0; i < n; i++) {
cin >> v[i];
}
auto a1 = lds(v);
auto a2 = lis(v);
int64_t mx = 0, cnt = 0;
for (int i = 0; i < a1.size(); i++) {
if (a1[i].mx + a2[i].mx > mx) {
mx = a1[i].mx + a2[i].mx;
cnt = (a1[i].cnt * a2[i].cnt) % MOD;
cnt %= MOD;
} else if (a1[i].mx + a2[i].mx == mx) {
cnt += (a1[i].cnt * a2[i].cnt) % MOD;
cnt %= MOD;
}
}
for (int i = 0; i < n - mx; i++) {
cnt *= 2;
cnt %= MOD;
}
if (cnt % 2 == 0) cnt /= 2;
else cnt = (cnt + MOD)/2 % MOD;
cout << mx << " " << cnt;
}