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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#420273#4887. Fast BridgesHarry27182TL 585ms38356kbC++143.1kb2024-05-24 16:04:302024-05-24 16:04:32

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你现在查看的是最新测评结果

  • [2024-05-24 16:04:32]
  • 评测
  • 测评结果:TL
  • 用时:585ms
  • 内存:38356kb
  • [2024-05-24 16:04:30]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
const int inv6=166374059,mod=998244353;
int tot1,tot2,n,m,x[1005],y[1005],ans,e[1005][1005],vis[1005],val[1005],dp[2][1005][1005],lst[1005];
struct node{int x1,y1,x2,y2;}a[1005],b[1005];vector<pair<int,int> >v[1005];vector<int>mp[1005][1005];
void Add(int &x,int y){x=(x+y>=mod?x+y-mod:x+y);}
void solve(int m)
{
	tot1=0,tot2=0;
	for(int i=1;i<=m;i++)
	{
		x[++tot1]=a[i].x1+1;x[++tot1]=a[i].x2;
		y[++tot2]=a[i].y1+1;y[++tot2]=a[i].y2;
	}
	x[++tot1]=1;x[++tot1]=n+1;y[++tot2]=1;y[++tot2]=n+1;
	sort(x+1,x+tot1+1);sort(y+1,y+tot2+1);
	tot1=unique(x+1,x+tot1+1)-x-1;tot2=unique(y+1,y+tot2+1)-y-1;
	for(int i=1;i<=tot1;i++)for(int j=1;j<=tot2;j++)mp[i][j].clear();
	for(int i=1;i<=m;i++)
	{
		a[i].x1=lower_bound(x+1,x+tot1+1,a[i].x1+1)-x;
		a[i].x2=lower_bound(x+1,x+tot1+1,a[i].x2)-x;
		a[i].y1=lower_bound(y+1,y+tot2+1,a[i].y1+1)-y;
		a[i].y2=lower_bound(y+1,y+tot2+1,a[i].y2)-y;
		mp[a[i].x1-1][a[i].y1-1].emplace_back(i);
	}
	for(int i=1;i<=m;i++)for(int j=1;j<=m;j++)e[i][j]=-0x3f3f3f3f;
	for(int i=1;i<=m;i++)e[i][i]=0;
	for(int i=1;i<=m;i++)
	{
		for(int j=1;j<=m;j++)
		{
			if(i==j)continue;
			if(a[i].x2<a[j].x1&&a[i].y2<a[j].y1)e[i][j]=1;
		}
	}
	for(int k=1;k<=m;k++)
	{
		for(int i=1;i<=m;i++)
		{
			for(int j=1;j<=m;j++)e[i][j]=max(e[i][j],e[i][k]+e[k][j]);
		}
	}
	for(int i=1;i<=tot1;i++)for(int j=1;j<=m;j++)dp[0][i][j]=dp[1][i][j]=0;
	for(int i=tot2-1;i>=1;i--)
	{
		int p=i&1;
		for(int j=1;j<tot1;j++)for(int k=1;k<=m;k++)dp[p][j][k]=0;
		for(int j=tot1-1;j>=1;j--)
		{
			for(int k=1;k<=m;k++)
			{
				dp[p][j][k]=max(dp[p][j+1][k],dp[p^1][j][k]);
				for(int l=0;l<mp[i][j].size();l++)
				{
					int x=mp[i][j][l];
					dp[p][j][k]=max(dp[p][j][k],e[x][k]+1);
				}
			}
			for(int k=1;k<=tot2;k++)v[k].clear();
			for(int k=1;k<=m;k++)
			{
				if(dp[p][j][k]>0)v[a[k].y2].emplace_back(make_pair(a[k].x2,dp[p][j][k]));
			}
			for(int k=1;k<=m;k++)lst[k]=0;
			int res=0;
			for(int k=1;k<tot2;k++)
			{
				for(int j=0;j<v[k].size();j++)
				{
					int len=x[tot1]-x[v[k][j].first],w=v[k][j].second;
					if(lst[w]>=len)continue;
					Add(res,mod-1ll*lst[w]*(y[tot2]-y[k])%mod);
					Add(res,1ll*len*(y[tot2]-y[k])%mod);lst[w]=len;
				}
			}
			Add(ans,1ll*res*(x[i+1]-x[i])%mod*(y[j+1]-y[j])%mod);
		}
	}
}
int main()
{
	//freopen("line.in","r",stdin);
	//freopen("line.out","w",stdout);
	cin.tie(0)->sync_with_stdio(0);
	cin>>m>>n;int flag=0;
	for(int i=1;i<=m;i++)cin>>b[i].x1>>b[i].y1>>b[i].x2>>b[i].y2,flag&=(b[i].y1<b[i].y2);
	for(int i=1;i<m;i++)flag&=(b[i].x2<=b[i+1].x1&&b[i].y2<=b[i+1].y1);
	if(flag==1)
	{
		for(int i=1;i<=m;i++)Add(ans,1ll*b[i].x1*b[i].y1%mod*(n-b[i].x2+1)%mod*(n-b[i].y2+1)%mod);
	}
	else 
	{
		int cnt=0;
		for(int i=1;i<=m;i++)if(b[i].x1!=b[i].x2&&b[i].y1<b[i].y2)a[++cnt]=b[i];
		solve(cnt);cnt=0;
		for(int i=1;i<=m;i++)b[i].y1=n-b[i].y1+1,b[i].y2=n-b[i].y2+1;
		for(int i=1;i<=m;i++)if(b[i].x1!=b[i].x2&&b[i].y1<b[i].y2)a[++cnt]=b[i];
		solve(cnt);
	}
	int res=1ll*n*n%mod*(n-1)%mod*n%mod*(n+1)%mod*inv6%mod*2%mod;
	res=(res-ans+mod)%mod;
	cout<<res;
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 8ms
memory: 31740kb

input:

2 2
1 1 2 2
1 2 2 1

output:

6

result:

ok answer is '6'

Test #2:

score: 0
Accepted
time: 6ms
memory: 27544kb

input:

0 1000000000

output:

916520226

result:

ok answer is '916520226'

Test #3:

score: 0
Accepted
time: 0ms
memory: 33520kb

input:

5 5
1 1 3 3
3 3 5 1
3 3 4 5
3 3 5 4
1 5 3 3

output:

946

result:

ok answer is '946'

Test #4:

score: 0
Accepted
time: 0ms
memory: 31724kb

input:

200 5
1 1 4 2
2 5 4 4
2 3 4 2
2 4 3 5
1 4 4 2
2 5 4 2
1 2 4 4
1 2 2 4
1 4 5 1
3 4 5 1
4 2 5 1
2 2 5 4
3 2 5 1
3 1 5 2
4 2 5 3
1 3 5 1
3 4 4 5
2 2 4 3
2 3 5 4
1 4 5 3
2 2 3 1
2 5 3 3
1 1 5 3
4 4 5 5
1 3 4 4
4 3 5 1
2 3 3 4
3 4 4 2
1 4 4 5
2 1 4 4
1 3 5 2
1 1 3 3
1 5 3 1
1 1 3 5
1 4 3 5
4 5 5 4
1 1 4 ...

output:

708

result:

ok answer is '708'

Test #5:

score: 0
Accepted
time: 27ms
memory: 32492kb

input:

500 10
5 6 7 10
1 3 8 10
3 3 4 9
2 10 10 2
9 4 10 10
5 4 7 8
7 1 10 7
3 1 7 10
5 2 8 9
6 3 7 10
3 10 7 9
4 9 5 1
2 5 3 3
7 10 8 2
7 7 9 8
6 6 8 3
5 10 8 8
1 1 5 5
3 3 10 5
5 5 7 6
3 8 4 7
6 7 7 5
7 3 10 9
5 3 9 4
4 6 10 5
1 5 9 10
5 6 9 7
3 10 10 3
1 2 5 7
4 6 5 1
3 1 8 5
5 8 8 9
1 8 4 3
6 4 7 10
7 ...

output:

27373

result:

ok answer is '27373'

Test #6:

score: 0
Accepted
time: 29ms
memory: 34104kb

input:

500 30
3 13 20 29
14 5 16 25
2 29 9 15
23 30 24 9
1 18 24 28
4 16 5 2
3 29 30 25
4 8 24 19
8 26 10 24
20 14 26 25
15 8 25 25
5 13 18 28
3 30 29 10
14 26 25 11
11 19 16 4
9 4 29 30
15 10 16 8
2 29 12 2
11 22 20 28
4 10 28 1
24 17 30 1
8 26 27 9
15 25 30 14
16 20 24 17
9 23 12 13
9 16 25 28
2 15 8 16
...

output:

7717993

result:

ok answer is '7717993'

Test #7:

score: 0
Accepted
time: 36ms
memory: 36028kb

input:

500 100
25 55 55 43
14 22 84 5
57 7 79 15
63 9 86 23
22 3 53 97
2 22 64 65
32 52 66 30
76 37 79 22
46 100 76 22
21 78 78 44
29 41 92 55
43 14 46 3
14 97 42 1
16 7 35 64
15 27 29 3
11 92 92 70
4 13 66 2
3 38 55 82
41 94 83 44
52 90 100 82
6 100 99 70
18 38 24 22
74 17 98 20
17 94 44 82
33 97 48 19
12...

output:

291628571

result:

ok answer is '291628571'

Test #8:

score: 0
Accepted
time: 86ms
memory: 33776kb

input:

500 8
2 4 8 2
3 7 5 4
2 6 8 1
4 8 5 5
6 6 7 5
2 6 5 5
1 6 8 5
6 5 7 3
4 8 5 7
5 7 6 5
1 6 4 5
2 3 4 2
2 8 8 6
3 8 4 3
5 6 7 2
7 8 8 3
1 8 4 7
1 6 6 1
1 8 7 1
1 4 3 3
2 3 3 1
1 4 5 1
1 8 5 4
7 7 8 5
2 7 4 1
3 7 4 3
2 3 5 1
3 7 8 1
4 7 5 5
6 6 8 3
2 7 5 1
2 5 4 3
5 4 8 2
4 5 8 3
2 3 4 1
2 8 3 2
5 6 8 ...

output:

9321

result:

ok answer is '9321'

Test #9:

score: 0
Accepted
time: 585ms
memory: 38356kb

input:

500 1000000000
228604634 522874974 789854111 585676486
340802063 175643637 661594207 749079321
490078806 844144515 583746323 707696611
833939453 901516824 867397264 848066012
553537526 886003963 679012061 187030606
351500555 847099665 751201742 855105070
169763646 729114554 248951243 211939611
17040...

output:

230090667

result:

ok answer is '230090667'

Test #10:

score: -100
Time Limit Exceeded

input:

500 1000000000
536804949 618264275 757262973 133194920
206604343 420304040 244005624 331707206
64548973 877773848 685024560 565782395
13572244 271309598 835979107 128627415
128103153 561746493 703898577 9276472
209282309 997406956 216339996 279878227
386095652 999498735 908610032 582414132
232191790...

output:


result: