#include <bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define Rep(i, n) for(int i = 1; i <= n; ++i)
#define For(i, a, b) for(int i = a; i <= b; ++i)
#define Ford(i, a, b) for(int i = a; i >= b; --i)
#define Forv(v, h) for(auto &v : h)
#define Bit(x, i) ((x) >> (i) & 1ll)
#define onbit(x, i) ((x) (1ll << i))
#define offbit(x, i) ((x) &~ (1ll << i))
#define cnt_bit(x) __builtin_popcountll(x)
#define Log2(x) (63 - __builtin_clzll(x))
#define all(h) h.begin(), h.end()
#define reset(h, v) (memset(h, v, sizeof(h)))
#define memoryof(v) (sizeof(v) / 1024 / 1024)
using ii = pair<int, int>;
using ull = unsigned long long;
using db = long double;
using vi = vector<int>;
using vvi = vector<vi>;
using vii = vector<ii>;
const int dx[] = {0, 0, +1, -1};
const int dy[] = {-1, +1, 0, 0};
const int MAXN = 2e5 + 10;
const int MOD = 1e9 + 7;
const int oo = 1e18 + 1;
const int base = 311;
template <class X, class Y> bool maximize(X &a, const Y &b) {
if(a < b) return a = b, true;
return false;
}
//template <class X, class Y> bool minimize(X &a, const Y &b) {
// if(a > b) return a = b, true;
// return false;
//}
// (x, y) -> (u, v) = Ckn(u - x, x + y - u - v);
// Ckn(k, a) * Ckn(k, b) = C(a, a + b); (k : 1 -> min(a, b))
void fixmod(int &val) {
if (val < 0) val += MOD*MOD;
val %= MOD;
}
int Pow(int a, int n) {
int res = 1;
while (n > 0) {
if (n & 1) res = (res * a) % MOD;
a = (a * a) % MOD, n >>= 1;
}
return res;
}
int n;
void combine(ii & x, const ii& y) {
if (x.fi == y.fi) x.se += y.se, fixmod(x.se);
else if (x.fi < y.fi) {
x = y;
}
}
struct fenwick {
ii bit[2][MAXN];
void upd(bool t, int u, ii val)
{
if (!t) for (; u <= n; u += u&-u) combine(bit[t][u], val);
else for (; u; u -= u&-u) combine(bit[t][u], val);
}
ii get(bool t, int u)
{
ii res = {0, 0};
if (t) for (; u <= n; u += u&-u) combine(res, bit[t][u]);
else for (; u; u -= u&-u) combine(res, bit[t][u]);
return res;
}
} ac;
void Progess() {
cin >> n;
vector <int> a(n);
For (i, 0, n - 1) cin >> a[i];
vector<int> vct = a; sort(all(vct));
For (i, 0, n - 1) {
a[i] = lower_bound(all(vct), a[i]) - vct.begin() + 1;
}
vector <ii> lis(n), lds(n);
Ford (i, n - 1, 0) {
lis[i] = ac.get(0, a[i] - 1);
if (lis[i].fi == 0) {
lis[i] = {0, 1};
ac.upd(0, a[i], {1, 1});
} else {
ac.upd(0, a[i], {lis[i].fi + 1, lis[i].se});
}
lds[i] = ac.get(1, a[i] + 1);
if (lds[i].fi == 0) {
lds[i] = {0, 1};
ac.upd(1, a[i], {1, 1});
} else {
ac.upd(1, a[i], {lds[i].fi + 1, lds[i].se});
}
// cerr << lis[i].fi << ' ' << lds[i].fi << '\n';
}
ii res = {0, 0};
For (i, 0, n - 1) combine(res, {lis[i].fi + lds[i].fi + 1, (lis[i].se * lds[i].se) % MOD});
int ans = (res.se * Pow(2, n - res.fi)) % MOD;
cout << res.fi << ' ' << ans << '\n';
}
signed main(void) {
ios_base::sync_with_stdio(false);cin.tie(nullptr);
cout.tie(nullptr);
#define task "zoltan"
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}//_______________________________
Progess();
cerr << "\nTime elapsed: " << (1.0 * clock() / CLOCKS_PER_SEC) << " s.\n";
return (0 ^ 0);
}
Compilation message
zoltan.cpp: In function 'int main()':
zoltan.cpp:127:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
127 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
zoltan.cpp:128:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
128 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
460 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
336 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
2 ms |
336 KB |
Output is correct |
10 |
Correct |
2 ms |
336 KB |
Output is correct |
11 |
Correct |
55 ms |
13884 KB |
Output is correct |
12 |
Correct |
51 ms |
12112 KB |
Output is correct |
13 |
Correct |
46 ms |
11424 KB |
Output is correct |
14 |
Correct |
69 ms |
12360 KB |
Output is correct |
15 |
Correct |
88 ms |
15432 KB |
Output is correct |
16 |
Correct |
105 ms |
17780 KB |
Output is correct |
17 |
Correct |
72 ms |
17224 KB |
Output is correct |
18 |
Correct |
67 ms |
17224 KB |
Output is correct |
19 |
Correct |
70 ms |
17228 KB |
Output is correct |
20 |
Correct |
73 ms |
17224 KB |
Output is correct |