// Source: https://oj.uz/problem/view/COCI16_zoltan
//
#include "bits/stdc++.h"
using namespace std;
#define s second
#define f first
#define pb push_back
typedef long long ll;
typedef pair<ll, ll> pii;
typedef vector<pii> vpii;
typedef vector<ll> vi;
#define FOR(i, a, b) for (ll i = (a); i<b; i++)
const ll N = 2e5 + 10;
const ll MOD = 1e9+7;
#define lc i << 1
#define rc (i << 1) + 1
ll binpow(ll x, ll n) {
assert(n >= 0);
x %= MOD; // note: m * m must be less than 2^63 to avoid ll overflow
ll res = 1;
while (n > 0) {
if (n % 2 == 1) { res = res * x % MOD; }
x = x * x % MOD;
n /= 2;
}
return res;
}
ll n;
pii st[4 * N]; // max and number of maximums
pii comb(pii a, pii b) { // MODIFY COMBINER FUNCTION
if (a.f == b.f) return {a.f, b.s + a.s % MOD};
else return max(a, b);
}
void up(ll i) {
st[i] = comb(st[lc], st[rc]);
}
void update(ll ind, pii val, ll i = 1, ll l = 0, ll r = n) { // update pos ind with value val
if (l >= r) return;
if (r - l == 1) {
st[i] = comb(st[i], val);
// cout << val.f << val.s << st[i].f << st[i].s << endl;
return;
}
ll m = (l + r)/2;
if (m > ind) update(ind, val, lc, l, m); // contained in left child
else update(ind, val, rc, m, r); // contained in right child
up(i); // update current index
}
pii query(ll ql, ll qr, ll i = 1, ll l = 0, ll r = n) { // query from [ql, qr)
if (l >= r) return {0, 0}; // identity
if (ql <= l && qr >= r) { // fully contained
return st[i];
}
if (r - l == 1) return {0, 0}; // leaf node
ll m = (l + r)/2;
pii acc = {0, 1}; // SET DEFAULT VALUE
if (m >= ql) acc = comb(query(ql, qr, lc, l, m), acc);
if (m <= qr) acc = comb(acc, query(ql, qr, rc, m, r));
return acc;
}
ll a[N];
ll decr[N];
ll inc[N];
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
// ll n;
cin >> n;
vi alt(n);
FOR(i, 0, n) {
cin >> a[i];
alt[i]=a[i];
}
sort(alt.begin(), alt.end());
alt.resize(unique(alt.begin(), alt.end())-alt.begin());
FOR(i, 0, n) a[i] = lower_bound(alt.begin(), alt.end(), a[i]) - alt.begin();
vi seq; // longest decrreasing sequence
for (ll i = n-1; i >= 0; i--) {
auto lb = lower_bound(seq.begin(), seq.end(), a[i])-seq.begin();
if (lb == seq.size()) {
seq.pb(a[i]);
decr[i]=seq.size();
} else {
decr[i]=lb+1;
seq[lb]=a[i];
}
// cout << a[i] << decr[i] << endl;
}
// cout << endl;
seq.clear();
pii ans = {0, 0};
for (ll i = n-1; i >= 0; i--) {
auto lb = lower_bound(seq.begin(), seq.end(), -a[i])-seq.begin();
if (lb == seq.size()) {
seq.pb(-a[i]);
inc[i]=seq.size();
} else {
inc[i]=lb+1;
seq[lb]=-a[i];
}
pii q = query(0, a[i]);
// cout << a[i] << inc[i] << q.f << q.s << endl;
ans = comb(ans, {q.f + inc[i], q.s});
update(a[i], {decr[i], 1}); // start of increasing is more than start of decreasing and increasing starts before decreasing
}
cout << ans.f << ' ' << (ans.s * binpow(2, n-ans.f)) % MOD << endl;
}
Compilation message
zoltan.cpp: In function 'int main()':
zoltan.cpp:117:10: warning: comparison of integer expressions of different signedness: 'long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
117 | if (lb == seq.size()) {
| ~~~^~~~~~~~~~~~~
zoltan.cpp:137:10: warning: comparison of integer expressions of different signedness: 'long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
137 | if (lb == seq.size()) {
| ~~~^~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
2 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
3 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
4 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
5 |
Incorrect |
1 ms |
4564 KB |
Output isn't correct |
6 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
7 |
Incorrect |
1 ms |
4568 KB |
Output isn't correct |
8 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
9 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
10 |
Incorrect |
1 ms |
4440 KB |
Output isn't correct |
11 |
Incorrect |
89 ms |
16340 KB |
Output isn't correct |
12 |
Incorrect |
82 ms |
15804 KB |
Output isn't correct |
13 |
Incorrect |
68 ms |
11372 KB |
Output isn't correct |
14 |
Incorrect |
97 ms |
15188 KB |
Output isn't correct |
15 |
Incorrect |
124 ms |
16212 KB |
Output isn't correct |
16 |
Incorrect |
153 ms |
16740 KB |
Output isn't correct |
17 |
Incorrect |
108 ms |
15568 KB |
Output isn't correct |
18 |
Incorrect |
107 ms |
15564 KB |
Output isn't correct |
19 |
Incorrect |
118 ms |
15748 KB |
Output isn't correct |
20 |
Incorrect |
107 ms |
15564 KB |
Output isn't correct |