#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include <ext/pb_ds/tree_policy.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
//using namespace __gnu_pbds;
#define FOR(i,start,end) for(int i=start;i<(int)(end);i++)
#define FORE(i,start,end) for(int i=start;i<=(int)end;i++)
#define RFOR(i,start,end) for(int i = start; i>end; i--)
#define RFORE(i,start,end) for(int i = start; i>=end; i--)
#define all(a) a.begin(), a.end()
#define mt make_tuple
#define v vector
#define sf scanf
#define pf printf
#define dvar(x) cout << #x << " := " << x << "\n"
#define darr(x,n) FOR(i,0,n) cout << #x << "[" << i << "]" << " := " << x[i] << "\n"
typedef long long ll;
typedef long double ld;
typedef pair<int, int > pii;
typedef pair<ll, ll> pll;
const ll MOD = 1000000007LL;
const ll PRIME = 105943LL;
const int INF = 1e6;
//template <class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T> void minn(T &a, T b) { a = min(a, b); }
template<class T> void maxx(T &a, T b) { a = max(a, b); }
void io() {
#ifdef LOCAL_PROJECT
freopen("input.in", "r", stdin); freopen("output.out", "w", stdout);
#else
/* online submission */
#endif
ios_base::sync_with_stdio(false); cin.tie(NULL);
}
/*************************COCI 16-17 R3 #5*************************/
void modd(ll &x) {
x %= MOD;
}
const int MAXN = 200000;
int N;
int A[MAXN];
pll incr[MAXN], dcr[MAXN]; // length, #
namespace LIS {
pll combine(pll a, pll b) {
if (a.first == b.first)
return{ a.first, (a.second + b.second) % MOD };
else
return max(a, b);
}
template<class T> struct BIT {
int L;
v<T> bit;
BIT(int x) {
L = x;
bit = v<T>(L+1, { 0,0 });
}
void upd(int k, T val) { // add val to index k
// bit[k] = combine(bit[k], val);
for (k++; k <= L; k += (k&-k))
bit[k] = combine(bit[k], val);
}
T query(int k) { // point query
T temp = { 0,0 };
//RFORE(i, k, 0)
// temp = combine(temp, bit[i]);
for (k++; k > 0; k -= (k&-k))
temp = combine(temp, bit[k]);
return temp;
}
};
bool cmp(int i, int j) { // assume A is the array
return make_pair(-A[i], i) < make_pair(-A[j], j);
}
void calculate(int n, pll dp[]) {
v<int> pos; // idxs sorted decreasing A value, increasing idx value
FOR(i, 0, n) pos.push_back(i);
sort(all(pos), cmp);
BIT<pll> bit(n);
for (int p : pos) {
dp[p] = bit.query(n - 1 - p);
dp[p].first++;
dp[p] = combine(dp[p], { 1,1 });
bit.upd(n - 1 - p, dp[p]);
}
}
}
pll genBest() { // length of best, # ways
pll best = { -1,-1 };
FOR(i, 0, N) {
pll temp = { dcr[i].first + incr[i].first - 1, dcr[i].second*incr[i].second };
if (temp.first > best.first)
best = temp;
else if (temp.first == best.first)
best.second += temp.second;
modd(best.second);
}
return best;
}
ll mpow(ll a, ll p) {
ll ret = 1LL;
while (p) {
if (p & 1LL)
ret *= a;
a *= a;
modd(ret);
modd(a);
p >>= 1;
}
return ret;
}
int main() {
io();
cin >> N;
FOR(i, 0, N) cin >> A[i];
LIS::calculate(N, incr);
FOR(i, 0, N) A[i] = -A[i];
LIS::calculate(N, dcr);
pll best = genBest();
cout << best.first << "\n";
ll ways = best.second*mpow(2, N - best.first);
modd(ways);
cout << ways << "\n";
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
380 KB |
Output is correct |
| 3 |
Correct |
2 ms |
552 KB |
Output is correct |
| 4 |
Correct |
1 ms |
600 KB |
Output is correct |
| 5 |
Correct |
2 ms |
600 KB |
Output is correct |
| 6 |
Correct |
2 ms |
600 KB |
Output is correct |
| 7 |
Correct |
3 ms |
600 KB |
Output is correct |
| 8 |
Correct |
3 ms |
600 KB |
Output is correct |
| 9 |
Correct |
2 ms |
600 KB |
Output is correct |
| 10 |
Correct |
3 ms |
600 KB |
Output is correct |
| 11 |
Correct |
120 ms |
10260 KB |
Output is correct |
| 12 |
Correct |
102 ms |
10260 KB |
Output is correct |
| 13 |
Correct |
91 ms |
10260 KB |
Output is correct |
| 14 |
Correct |
133 ms |
10260 KB |
Output is correct |
| 15 |
Correct |
174 ms |
11048 KB |
Output is correct |
| 16 |
Correct |
199 ms |
12456 KB |
Output is correct |
| 17 |
Correct |
169 ms |
12480 KB |
Output is correct |
| 18 |
Correct |
161 ms |
12668 KB |
Output is correct |
| 19 |
Correct |
162 ms |
12668 KB |
Output is correct |
| 20 |
Correct |
163 ms |
12668 KB |
Output is correct |
