#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double dou;
#define pii pair<int, int>
#define fi first
#define se second
#define pb push_back
#define MASK(x) (1LL<<(x))
#define BITj(x, j) (((x)>>(j))&1)
template<typename T> bool maximize(T &x, const T &y) {
if (x < y) {x = y; return 1;}
return 0;
}
template<typename T> bool minimize(T &x, const T &y) {
if (x > y) {x = y; return 1;}
return 0;
}
namespace modulofunc{
const int mod = 30013;
int add(int x, int y) {
ll temp = x+y;
if (temp >= mod) temp -= mod;
return temp;
}
int sub(int x, int y) {
ll temp = x-y;
if (temp < 0) temp += mod;
return temp;
}
void addt(int &x, int y) {
x = add(x, y);
}
void subt(int &x, int y) {
y = sub(x, y);
}
int mul(int x, int y) {
return 1LL*x*y%mod;
}
}
using namespace modulofunc;
struct SMT{
int trsz;
vector<int> tr, cou;
void init(int n = 0) {
trsz= 1;
while (trsz < n) trsz <<= 1;
tr.assign(trsz<<1, 0);
cou.assign(trsz<<1, 0);
}
void update(int k, int x, int cnt){
k += trsz-1;
if (maximize(tr[k], x)) cou[k] = cnt;
k >>= 1;
while (k > 0) {
if (maximize(tr[k], x)) cou[k] = cnt;
else {
cou[k] = 0;
if (tr[k] == tr[k<<1]) {
addt(cou[k], cou[(k<<1)]);
}
if (tr[k] == tr[(k<<1)|1]) {
addt(cou[k], cou[(k<<1)|1]);
}
}
k >>= 1;
}
}
int query(int l, int r, int &cnt){
if (l > r) return 0;
int res = 0;
cnt = 0;
l += trsz - 1;
r += trsz - 1;
while (l <= r){
if (l&1) {
if (maximize(res, tr[l])) cnt = cou[l];
else if (res == tr[l]) addt(cnt, cou[l]);
l++;
}
if ((r^1)&1) {
if (maximize(res, tr[r])) cnt = cou[r];
else if (res == tr[r]) addt(cnt, cou[r]);
r--;
}
l >>= 1;
r >>= 1;
}
return res;
}
};
struct item{
int a, b, c, d;
item(int _a, int _b, int _c, int _d) {
a = _a;
b = _b;
c = _c;
d = _d;
}
};
const int maxn = 1e5+5;
int n, ans = 0, dp[maxn], cou[maxn];
vector<item> v;
vector<int> id;
SMT tr;
void nen() {
vector<int> v1, v2;
for (int i = 1; i <= n; i++) {
v1.pb(v[i].a);
v1.pb(v[i].b);
v2.pb(v[i].c);
v2.pb(v[i].d);
}
sort(v1.begin(), v1.end());
v1.erase(unique(v1.begin(), v1.end()), v1.end());
sort(v2.begin(), v2.end());
v2.erase(unique(v2.begin(), v2.end()), v2.end());
for (int i = 1; i <= n; i++) {
v[i].a = lower_bound(v1.begin(), v1.end(), v[i].a)-v1.begin()+1;
v[i].b = lower_bound(v1.begin(), v1.end(), v[i].b)-v1.begin()+1;
v[i].c = lower_bound(v2.begin(), v2.end(), v[i].c)-v2.begin()+1;
v[i].d = lower_bound(v2.begin(), v2.end(), v[i].d)-v2.begin()+1;
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
// #define name "task"
// if (fopen(name".inp", "r")) {
// freopen(name".inp", "r", stdin);
// freopen(name".out", "w", stdout);
// }
cin >> n;
//fill-in
v.pb(item(0, 0, 0, 0));
for (int i = 1; i <= n; i++) {
int a, b, c, d;
cin >> a >> b >> c >> d;
v.pb(item(a, b, c, d));
id.pb(i);
}
nen();
sort(v.begin(), v.end(), [&](item a, item b){return a.b<b.b;});
sort(id.begin(), id.end(), [&](int a, int b){return v[a].a < v[b].a;});
tr.init(maxn*2);
memset(dp, 0, sizeof(dp));
fill(cou+1, cou+n+1, 1);
int j = 0;
for (int pos : id) {
while (j+1 <= n && v[j+1].b < v[pos].a) {
++j;
// cout << "update\n";
// cout << v[j].a << ' ' << v[j].b << ' ' << v[j].c << ' ' << v[j].d << "\n";
// cout << "values: " << dp[j] << ' ' << cou[j] << "\n";
tr.update(v[j].d, dp[j], cou[j]);
}
int cnt;
dp[pos] = tr.query(1, v[pos].c-1, cnt)+1;
if (dp[pos] == 1) cou[pos] = 1;
else cou[pos] = cnt;
maximize(ans, dp[pos]);
// cout << "query\n";
// cout << v[pos].a << ' ' << v[pos].b << ' ' << v[pos].c << ' ' << v[pos].d << "\n";
// cout << "values: " << dp[pos] << ' ' << cou[pos] << "\n";
}
cout << ans << ' ';
int couans = 0;
for (int i= 1; i <= n; i++) {
if (dp[i] == ans) addt(couans, cou[i]);
}
cout << couans;
}
/*
7
1 3 1 9
4 7 2 8
11 15 4 12
10 12 15 19
16 23 16 22
20 22 13 25
30 31 30 31
*/
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
4944 KB |
Output is correct |
| 2 |
Correct |
2 ms |
4944 KB |
Output is correct |
| 3 |
Correct |
2 ms |
4944 KB |
Output is correct |
| 4 |
Correct |
3 ms |
4916 KB |
Output is correct |
| 5 |
Correct |
4 ms |
4944 KB |
Output is correct |
| 6 |
Correct |
4 ms |
4920 KB |
Output is correct |
| 7 |
Correct |
6 ms |
5200 KB |
Output is correct |
| 8 |
Correct |
7 ms |
5196 KB |
Output is correct |
| 9 |
Correct |
12 ms |
5456 KB |
Output is correct |
| 10 |
Correct |
22 ms |
5644 KB |
Output is correct |
| 11 |
Correct |
27 ms |
6012 KB |
Output is correct |
| 12 |
Correct |
54 ms |
6376 KB |
Output is correct |
| 13 |
Correct |
66 ms |
8232 KB |
Output is correct |
| 14 |
Correct |
79 ms |
9484 KB |
Output is correct |
| 15 |
Correct |
102 ms |
10204 KB |
Output is correct |
| 16 |
Correct |
95 ms |
9360 KB |
Output is correct |
| 17 |
Correct |
96 ms |
8824 KB |
Output is correct |
| 18 |
Correct |
93 ms |
9716 KB |
Output is correct |
| 19 |
Correct |
104 ms |
8356 KB |
Output is correct |
| 20 |
Correct |
119 ms |
9692 KB |
Output is correct |
