#include <bits/stdc++.h>
using namespace std;
const int MAXN=(1<<17);
const int MOD=30013;
int a[MAXN], b[MAXN], c[MAXN], d[MAXN];
pair<int, int> tree[2*MAXN-1]={{0, 0}};
bool compare(int x, int y)
{
return a[x]<a[y];
}
pair<int, int> treemerge(pair<int, int> x, pair<int, int> y)
{
if (x.first==y.first)
return {x.first, (x.second+y.second)%MOD};
return max(x, y);
}
void update(int x, int l, int r, int i, pair<int, int> value)
{
if (l>i || r<=i)
return;
tree[x]=treemerge(tree[x], value);
if (r-l==1)
return;
update(2*x+1, l, (l+r)/2, i, value);
update(2*x+2, (l+r)/2, r, i, value);
return;
}
pair<int, int> find(int x, int l, int r, int lt, int rt)
{
if (l>=rt || r<=lt)
return {0, 0};
if (l>=lt && r<=rt)
return tree[x];
return treemerge(find(2*x+1, l, (l+r)/2, lt, rt), find(2*x+2, (l+r)/2, r, lt, rt));
}
int main()
{
int n, maxcardinality, totalways=0, i, j;
priority_queue<pair<int, int> > pq;
cin >> n;
int asorted[n], dpmax[n], dpcount[n];
pair<int, int> dsorted[n];
for (i=0; i<n; i++)
cin >> a[i] >> b[i] >> c[i] >> d[i];
for (i=0; i<n; i++)
asorted[i]=i;
sort(asorted, asorted+n, compare);
for (i=0; i<n; i++)
dsorted[i]={d[i], i};
sort(dsorted, dsorted+n);
for (i=0; i<n; i++)
{
dpmax[i]=1;
dpcount[i]=1;
while (!pq.empty() && -pq.top().first<a[asorted[i]])
{
int j=pq.top().second;
int maxlower=lower_bound(dsorted, dsorted+n, make_pair(d[asorted[j]], -1))-dsorted;
update(0, 0, MAXN, maxlower, {dpmax[j], dpcount[j]});
pq.pop();
}
int maxlower=lower_bound(dsorted, dsorted+n, make_pair(c[asorted[i]], asorted[i]))-dsorted;
//cout << asorted[i]+1 << " " << maxlower << '\n';
if (maxlower!=0)
{
auto result=find(0, 0, MAXN, 0, maxlower);
//cout << "result " << result.first+1 << " " << result.second << '\n';
dpmax[i]=result.first+1;
dpcount[i]=result.second;
}
pq.push({-b[asorted[i]], i});
}
maxcardinality=*max_element(dpmax, dpmax+n);
for (i=0; i<n; i++)
if (dpmax[i]==maxcardinality)
totalways=(totalways+dpcount[i])%MOD;
cout << maxcardinality << " " << totalways;
return 0;
}
/*#include <bits/stdc++.h>
using namespace std;
const int MAXN=100000;
const int MOD=30013;
int a[MAXN], b[MAXN], c[MAXN], d[MAXN];
bool compare(int x, int y)
{
return b[x]<b[y];
}
bool intersect(int x, int y)
{
if (b[x]>a[y])
return true;
if (d[x]>c[y])
return true;
return false;
}
int main()
{
int n, maxcardinality, totalways=0, i, j;
cin >> n;
int sorted[n], dpmax[n], dpcount[n];
for (i=0; i<n; i++)
cin >> a[i] >> b[i] >> c[i] >> d[i];
for (i=0; i<n; i++)
sorted[i]=i;
sort(sorted, sorted+n, compare);
for (i=0; i<n; i++)
{
dpmax[i]=1;
dpcount[i]=1;
for (j=0; j<i; j++)
{
if (!intersect(sorted[j], sorted[i]))
{
if (dpmax[j]+1>dpmax[i])
{
dpmax[i]=dpmax[j]+1;
dpcount[i]=dpcount[j];
}
else if (dpmax[j]+1==dpmax[i])
dpcount[i]=(dpcount[i]+dpcount[j])%30013;
}
}
}
maxcardinality=*max_element(dpmax, dpmax+n);
for (i=0; i<n; i++)
if (dpmax[i]==maxcardinality)
totalways=(totalways+dpcount[i])%MOD;
cout << maxcardinality << " " << totalways;
return 0;
}*/
Compilation message
trapezoid.cpp: In function 'int main()':
trapezoid.cpp:48:44: warning: unused variable 'j' [-Wunused-variable]
48 | int n, maxcardinality, totalways=0, i, j;
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Partially correct |
1 ms |
2392 KB |
Partially correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
5 |
Correct |
3 ms |
2396 KB |
Output is correct |
6 |
Partially correct |
4 ms |
2396 KB |
Partially correct |
7 |
Correct |
6 ms |
2648 KB |
Output is correct |
8 |
Partially correct |
7 ms |
2648 KB |
Partially correct |
9 |
Correct |
14 ms |
2704 KB |
Output is correct |
10 |
Correct |
27 ms |
3160 KB |
Output is correct |
11 |
Correct |
36 ms |
3164 KB |
Output is correct |
12 |
Correct |
88 ms |
4140 KB |
Output is correct |
13 |
Partially correct |
93 ms |
4556 KB |
Partially correct |
14 |
Correct |
108 ms |
4812 KB |
Output is correct |
15 |
Partially correct |
119 ms |
5204 KB |
Partially correct |
16 |
Partially correct |
127 ms |
5556 KB |
Partially correct |
17 |
Correct |
141 ms |
5612 KB |
Output is correct |
18 |
Correct |
127 ms |
5756 KB |
Output is correct |
19 |
Partially correct |
141 ms |
5824 KB |
Partially correct |
20 |
Partially correct |
158 ms |
6084 KB |
Partially correct |