QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#469873#1281. Longest Common SubsequencediduAC ✓214ms47200kbC++143.2kb2024-07-10 08:35:172024-07-10 08:35:17

Judging History

你现在查看的是最新测评结果

  • [2024-07-10 08:35:17]
  • 评测
  • 测评结果:AC
  • 用时:214ms
  • 内存:47200kb
  • [2024-07-10 08:35:17]
  • 提交

answer

#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cstring>

#define ll long long
#define ls lc[p]
#define rs rc[p]
using namespace std;

const int INF = 1e6+10;
const int MAXN = 1e6+10;

int Tc;

ll a[MAXN],b[MAXN];

int cntla = 0,cntra = 0,cntlb = 0,cntrb = 0;
int la[MAXN],lb[MAXN];//表示第i个1的pos在哪里(从头部开始算)
int ra[MAXN],rb[MAXN];//表示第i个3的pos在哪里(从末尾开始算) 
int suma[MAXN],sumb[MAXN];//2的前缀和数组 

int lc[MAXN<<4],rc[MAXN<<4];
ll sgt[MAXN<<4][3];
int n,m;

ll ans = 0;
ll cnt = 0;//这个是动态开点的节点数 
int rt = 0;//表示最大的区间的线段树标号 

void pushup(int p){
	sgt[p][0] = max(sgt[ls][0],sgt[rs][0]);
	sgt[p][1] = max(sgt[ls][1],sgt[rs][1]);
	return ;
}

void update(int &p,int l,int r,int pos,ll vala,ll valb){
	if(!p)p = ++cnt;
	if(l == r){
		sgt[p][0] = max(sgt[p][0],vala); 
		sgt[p][1] = max(sgt[p][1],valb);
		return ;
	} 
	
	int mid = (l + r) >> 1;
	if(pos <= mid)update(ls,l,mid,pos,vala,valb);
	else update(rs,mid+1,r,pos,vala,valb);
	pushup(p);
}

ll query(int p,int l,int r,int L,int R,int fl){
	if(!p || !sgt[p][fl] || L > R)return 0;
	if(L <= l && r <= R)return sgt[p][fl];
	int mid = (l + r) >> 1;
	
	ll Smx = -INF*10;
	if(L <= mid)Smx = max(Smx,query(ls,l,mid,L,R,fl));
	if(R > mid)Smx = max(Smx,query(rs,mid+1,r,L,R,fl));
	return Smx;
}

void init(){
	for(int i = 0;i <= cnt;i++)sgt[i][0] = sgt[i][1] = lc[i] = rc[i] = 0;
	rt = cnt = 0; cntla = 0,cntlb = 0,cntra = 0,cntrb = 0;
	return ;
}

int main(){
	
	scanf("%d",&Tc);
	while(Tc--){
		init();
		scanf("%d%d",&n,&m);
		
		for(int i = 1;i <= n;i++) scanf("%lld",&a[i]);
		for(int i = 1;i <= m;i++) scanf("%lld",&b[i]);
		for(int i = 1;i <= n;i++) suma[i] = suma[i-1] + (a[i] == 2);
		for(int i = 1;i <= m;i++) sumb[i] = sumb[i-1] + (b[i] == 2);
		for(int i = 1;i <= n;i++) if(a[i] == 1)la[++cntla] = i;
		for(int i = 1;i <= m;i++) if(b[i] == 1)lb[++cntlb] = i;
		for(int i = n;i >= 1;i--) if(a[i] == 3)ra[++cntra] = i;
		for(int i = m;i >= 1;i--) if(b[i] == 3)rb[++cntrb] = i;
		
		ra[0] = n+1;
		rb[0] = m+1;
		ans = 0;
		
		//枚举在答案的最长公共子序列中 有i个1的使用(左侧),有j个3的使用(右侧) 
		//设最右的1在L,最左的3在3 ,所以此时中间的数全填2,那么必须满足两者间相差的2全在 L之前,R之后,因此在 
		//suma[ra[j]-1] - sumb[rb[j]-1]中放入线段树,其实是因为查询在开头,这样便能以差的前缀和变化,反应中间2数量的多少 
		//若suma[la[i]] - sumb[lb[i]]比他更大,说明取之间的2,b比a多,取min就是a对应的数量 
		//反之就是之间的2,a比b多,取min就是取b对应的数量 
		for(int i = min(cntla,cntlb),j = 0;~i;i--){
			while(ra[j] > la[i] && rb[j] > lb[i] && j <= min(cntrb,cntra)){
				update(rt,-INF,INF,suma[ra[j]-1] - sumb[rb[j]-1], j + suma[ra[j]-1],j + sumb[rb[j]-1] ); j++;
				//cout << j << endl;
			}
			ans = max({ans , i - suma[la[i]] + query(rt,-INF,INF,-INF,suma[la[i]] - sumb[lb[i]],0) ,
							 i - sumb[lb[i]] + query(rt,-INF,INF, suma[la[i]] - sumb[lb[i]],INF,1)} );
			//printf("(%d,%d) : %lld\n",i,j,ans);
		}
		
		printf("%lld\n",ans);
	}
	
	return 0;
}

//cf741c
//cf1556g
//cf1844e
//cf1693f

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 20356kb

input:

3
3 3
1 2 3
1 2 3
3 3
1 1 1
1 1 2
3 3
1 3 2
1 2 3

output:

3
2
2

result:

ok 3 tokens

Test #2:

score: 0
Accepted
time: 173ms
memory: 18120kb

input:

139889
1 10
2
2 1 2 2 3 1 1 2 3 3
7 1
3 2 3 3 1 1 2
2
6 1
2 1 3 1 1 1
1
8 7
3 1 3 3 2 2 3 1
3 2 2 1 3 3 3
10 3
3 2 1 1 2 2 1 1 1 1
3 1 1
5 2
1 2 1 3 1
1 2
1 4
1
3 3 3 3
7 2
3 1 2 1 2 2 3
3 2
6 2
3 1 1 2 1 3
1 3
1 4
1
3 1 1 3
4 2
2 3 2 3
1 3
1 8
1
1 1 3 1 3 3 3 1
4 1
1 3 3 3
1
10 10
3 1 2 1 2 2 2 2 1...

output:

1
1
1
4
2
2
0
1
2
1
1
1
1
6
1
0
1
2
2
3
4
4
1
1
1
0
2
2
3
4
4
1
1
3
2
1
2
1
3
1
1
1
3
1
1
2
3
2
1
3
1
4
1
2
2
1
3
1
1
2
3
1
2
4
4
2
2
1
1
1
2
4
3
2
1
1
2
3
1
2
2
1
5
2
4
2
1
2
3
2
5
2
1
3
1
3
1
2
1
2
2
4
3
2
0
1
1
3
2
3
2
2
0
0
2
3
1
2
0
4
1
4
1
1
3
1
1
0
1
1
1
1
3
2
2
2
3
3
3
1
2
2
3
2
1
1
3
3
2
3
...

result:

ok 139889 tokens

Test #3:

score: 0
Accepted
time: 214ms
memory: 20300kb

input:

100000
10 10
1 1 1 3 1 2 1 1 1 1
3 1 1 2 1 2 2 2 1 3
10 10
1 1 3 2 3 1 1 2 3 2
3 3 1 3 2 1 1 1 2 1
10 10
2 2 3 3 1 2 3 1 3 2
2 3 2 3 2 1 2 3 3 1
10 10
3 3 1 1 1 3 2 3 2 2
2 2 1 2 2 2 2 2 3 3
10 10
3 3 3 2 1 3 3 1 3 1
1 3 1 1 3 2 1 1 1 3
10 10
1 1 2 1 3 1 1 3 1 3
2 1 1 1 1 3 2 1 2 2
10 10
2 2 3 1 2 2...

output:

4
5
5
4
4
5
4
5
4
7
4
5
5
4
4
5
4
6
6
6
3
4
4
4
5
4
4
4
6
4
5
5
5
3
5
6
5
4
4
4
4
5
5
3
4
4
3
7
3
4
5
4
4
4
3
5
5
5
4
6
5
3
5
5
3
3
3
5
3
4
4
5
4
4
3
4
5
6
5
6
7
5
4
5
4
4
6
5
4
5
6
5
4
3
3
4
3
4
4
4
4
4
5
4
5
5
5
4
2
6
3
5
5
5
5
4
4
4
4
4
5
5
4
4
5
6
5
4
3
4
4
4
3
4
3
3
4
5
5
3
4
6
4
3
4
5
6
5
5
5
...

result:

ok 100000 tokens

Test #4:

score: 0
Accepted
time: 180ms
memory: 20276kb

input:

59509
16 16
3 3 3 2 3 3 1 3 1 2 1 1 3 1 3 2
3 3 3 1 1 3 1 1 2 2 2 2 3 3 1 1
16 17
2 1 1 1 3 1 1 2 3 3 2 1 2 3 3 3
1 1 3 1 1 1 1 1 1 3 2 3 2 1 3 1 3
19 10
1 1 3 3 2 1 1 2 3 1 2 3 3 1 3 1 2 1 1
3 1 1 3 1 1 1 2 2 1
10 14
3 3 3 1 1 3 3 1 3 1
3 1 3 2 2 3 3 1 1 3 1 3 3 3
12 20
1 1 2 2 1 1 2 1 1 2 3 1
1 1 ...

output:

6
10
7
6
8
4
6
6
7
6
6
7
5
8
8
5
8
5
8
5
5
7
6
5
5
7
6
6
8
7
5
6
6
4
7
7
6
5
7
7
7
9
5
5
8
9
7
7
6
11
8
5
7
9
6
7
8
5
5
6
6
8
8
6
9
8
4
6
7
8
7
5
8
4
5
6
8
8
5
6
6
7
7
8
5
6
7
6
7
5
10
10
6
6
8
6
6
7
5
7
5
6
6
7
3
6
10
5
6
7
7
8
7
4
4
5
7
5
7
7
6
5
6
8
6
8
6
6
7
7
8
4
4
6
7
6
5
5
6
7
8
9
6
8
7
9
8
8...

result:

ok 59509 tokens

Test #5:

score: 0
Accepted
time: 207ms
memory: 20224kb

input:

50000
20 20
1 3 3 2 1 2 1 1 1 2 3 2 1 2 2 2 2 2 1 3
3 2 2 1 3 3 1 2 3 2 1 2 2 3 2 3 1 3 2 1
20 20
1 3 2 3 2 2 1 1 1 3 3 2 2 2 3 3 3 3 3 1
2 3 2 3 1 2 1 2 2 2 1 3 1 3 1 2 3 2 3 1
20 20
1 3 1 1 2 3 1 2 2 3 3 1 2 1 1 1 2 2 1 2
2 1 1 2 2 2 1 1 1 3 1 1 3 1 2 1 2 2 3 1
20 20
3 3 3 2 1 2 2 2 1 2 2 2 2 2 3 ...

output:

8
10
11
8
7
8
9
9
9
8
7
9
9
8
8
10
8
8
10
9
8
8
8
10
9
8
9
9
8
7
5
7
8
7
9
9
9
7
10
11
12
12
8
10
11
10
9
9
10
8
8
8
9
10
8
9
9
10
9
8
8
8
10
8
9
11
9
6
9
6
9
8
8
11
9
10
9
8
8
9
10
9
9
7
9
9
9
8
9
11
6
8
8
8
8
9
9
8
9
7
8
7
6
8
10
9
9
10
8
9
8
9
11
9
8
7
8
8
10
11
6
8
9
9
8
7
9
9
10
9
7
10
8
9
9
8
...

result:

ok 50000 tokens

Test #6:

score: 0
Accepted
time: 168ms
memory: 20160kb

input:

11967
85 68
1 2 2 2 1 3 3 1 3 3 1 2 2 1 1 2 1 2 1 3 2 2 3 2 3 1 2 3 1 2 3 2 1 1 2 1 3 1 2 3 2 1 2 2 1 2 3 2 2 1 1 1 3 2 2 2 2 3 2 1 3 3 1 3 2 3 1 2 3 2 1 2 1 3 2 3 3 2 2 3 2 2 1 1 2
1 3 3 1 2 1 1 1 2 1 2 3 1 1 3 2 1 3 3 1 1 3 1 1 3 2 2 1 2 1 1 2 3 3 2 1 2 2 3 2 1 2 3 1 3 3 3 1 3 1 3 1 3 3 1 1 3 1 2 ...

output:

32
29
25
37
25
29
22
27
31
31
22
22
31
37
23
29
27
29
22
31
26
30
25
28
26
27
24
26
25
25
28
30
23
33
33
24
21
29
23
35
26
36
26
23
24
33
31
28
25
22
31
35
32
35
26
25
30
35
28
36
27
25
25
28
33
26
30
27
23
35
32
36
30
28
26
30
31
33
28
24
33
36
21
30
33
33
29
29
22
22
29
27
20
38
29
31
30
35
34
39
...

result:

ok 11967 tokens

Test #7:

score: 0
Accepted
time: 208ms
memory: 20312kb

input:

10000
100 100
2 3 2 2 2 3 2 3 1 1 2 2 2 2 1 2 3 3 3 2 3 3 1 3 3 2 2 3 1 1 3 3 2 3 1 3 3 1 2 2 2 3 1 2 3 1 2 2 3 3 1 1 3 1 3 1 2 2 2 2 2 3 2 1 3 1 2 2 1 2 1 2 1 2 3 2 3 1 3 2 2 1 2 1 2 3 1 3 2 1 3 3 2 2 1 1 3 1 1 2
3 1 1 2 1 1 1 3 3 2 3 3 3 2 1 3 3 2 2 2 1 3 1 3 1 3 1 2 2 1 1 2 3 2 3 3 2 1 3 2 3 3 3 ...

output:

38
40
34
35
39
40
38
40
39
39
36
38
42
41
39
37
42
43
35
37
36
34
39
40
41
40
33
36
38
38
42
38
40
42
44
42
35
41
35
44
39
45
36
37
39
38
40
40
35
37
39
39
40
43
42
37
41
41
39
44
43
35
40
41
37
40
39
39
36
38
40
39
38
39
37
35
40
40
41
38
36
42
41
38
38
38
34
43
37
36
40
39
41
46
38
42
40
37
47
39
...

result:

ok 10000 tokens

Test #8:

score: 0
Accepted
time: 207ms
memory: 20216kb

input:

1000
1000 1000
3 1 3 3 3 2 3 1 3 2 1 1 3 1 2 2 3 3 1 2 2 3 3 3 3 1 3 3 3 1 1 2 2 1 1 2 1 2 2 2 1 3 1 3 1 1 1 2 3 1 3 1 3 1 1 2 1 1 1 3 1 2 1 1 2 3 2 2 2 1 1 2 2 1 2 2 3 3 2 1 1 2 2 3 1 3 2 1 2 3 3 1 3 2 2 3 2 1 1 3 3 3 1 3 1 2 2 3 1 3 3 3 1 3 2 3 2 3 2 1 2 1 1 1 1 3 1 3 1 2 3 3 1 1 3 3 2 3 3 2 1 1 3...

output:

366
357
362
343
351
343
357
344
343
357
343
348
353
354
358
346
349
357
347
357
344
349
353
356
354
358
350
361
356
342
353
362
350
350
351
353
364
355
355
361
348
349
354
354
347
345
346
361
349
338
360
344
353
339
351
344
343
352
345
354
335
359
355
351
350
355
354
342
347
347
356
358
364
356
351
...

result:

ok 1000 tokens

Test #9:

score: 0
Accepted
time: 203ms
memory: 20316kb

input:

100
10000 10000
2 2 2 3 2 3 3 2 2 1 1 1 3 3 2 3 2 3 1 2 1 2 2 1 3 2 1 3 1 3 3 2 2 2 2 2 1 3 3 3 2 3 1 3 3 3 2 1 1 2 2 1 2 1 1 3 1 2 3 1 1 3 3 2 1 3 2 2 2 3 3 3 1 2 2 1 3 1 1 3 3 1 3 2 2 2 2 2 1 1 1 2 3 2 2 1 2 2 1 2 3 3 2 3 3 3 1 3 1 3 3 3 2 1 1 2 1 3 1 3 2 2 1 1 2 1 3 3 2 3 3 3 1 2 2 1 3 2 1 3 2 1 ...

output:

3431
3388
3380
3406
3403
3366
3399
3389
3390
3374
3389
3356
3419
3423
3348
3392
3366
3392
3411
3398
3436
3429
3371
3410
3414
3366
3377
3406
3384
3391
3391
3421
3400
3409
3412
3407
3429
3405
3444
3381
3414
3398
3437
3390
3381
3397
3396
3399
3412
3382
3403
3368
3393
3445
3410
3396
3393
3430
3416
3391
...

result:

ok 100 tokens

Test #10:

score: 0
Accepted
time: 204ms
memory: 22736kb

input:

10
100000 100000
3 1 2 2 1 1 1 3 2 3 1 3 3 1 2 3 1 2 3 3 3 2 3 3 3 3 2 1 1 3 3 1 1 2 3 1 2 3 1 2 2 2 3 3 2 1 1 3 3 1 2 3 3 2 3 3 3 3 1 2 1 3 1 3 3 2 2 2 3 3 3 2 1 1 2 1 3 1 3 2 3 3 3 3 2 3 1 2 2 2 2 3 2 3 1 3 3 1 3 3 1 1 3 2 1 3 1 3 3 3 3 3 2 1 1 2 2 3 1 3 2 3 3 3 2 2 3 1 3 2 1 3 1 2 3 2 2 1 3 3 2 1...

output:

33573
33651
33656
33615
33599
33519
33490
33488
33510
33572

result:

ok 10 tokens

Test #11:

score: 0
Accepted
time: 193ms
memory: 47200kb

input:

1
1000000 1000000
1 3 2 3 1 1 2 2 2 1 2 1 3 1 1 2 2 3 2 1 3 1 1 1 3 2 2 1 1 1 2 1 2 3 3 1 2 1 2 3 3 2 1 1 1 1 1 2 2 3 2 3 2 1 3 3 1 2 2 3 1 3 3 3 2 3 2 1 2 1 2 3 2 2 1 1 1 3 1 3 2 1 1 3 1 1 2 1 1 3 3 2 1 2 3 3 3 2 1 3 3 2 3 1 1 1 1 3 3 2 3 2 1 1 2 1 3 3 3 3 3 3 2 3 1 3 2 1 2 3 1 2 3 2 2 3 3 1 1 1 1 ...

output:

333799

result:

ok "333799"

Test #12:

score: 0
Accepted
time: 209ms
memory: 47056kb

input:

1
1000000 1000000
2 1 2 1 1 3 1 3 2 2 2 2 1 3 2 2 2 3 2 1 3 3 3 2 3 1 1 1 3 2 3 2 1 1 3 1 3 2 2 3 1 1 2 3 1 1 1 2 3 3 2 1 2 2 2 3 1 2 2 3 1 2 2 1 3 2 2 1 1 2 1 1 2 1 2 1 2 2 3 1 3 3 3 2 1 1 1 1 1 1 3 1 3 1 2 1 3 3 2 3 1 1 2 1 1 1 1 1 2 2 1 1 2 3 1 3 2 3 3 3 3 1 3 1 3 1 3 1 3 2 2 2 3 3 3 2 1 3 3 3 3 ...

output:

334219

result:

ok "334219"

Test #13:

score: 0
Accepted
time: 213ms
memory: 40896kb

input:

1
1000000 1000000
1 2 2 2 2 1 3 3 3 2 1 1 3 3 1 2 3 1 2 1 2 3 2 3 1 2 1 2 1 1 2 1 1 3 2 1 1 1 2 3 2 1 1 1 1 3 3 2 3 3 1 3 1 3 3 2 1 2 3 1 2 3 2 3 2 3 2 2 3 1 3 2 2 3 3 1 1 1 3 2 2 1 2 3 1 1 1 1 1 3 1 3 1 3 1 2 2 2 1 1 2 1 1 2 1 2 1 2 1 1 3 1 1 1 3 2 1 1 1 2 3 3 3 3 2 3 2 1 1 3 1 3 2 2 1 1 3 3 1 1 3 ...

output:

333870

result:

ok "333870"

Test #14:

score: 0
Accepted
time: 192ms
memory: 40852kb

input:

1
1000000 1000000
1 1 2 3 3 3 1 1 1 1 1 3 2 3 3 1 2 3 2 1 2 3 1 3 3 1 2 2 1 2 2 2 1 1 3 2 2 3 3 3 2 1 2 2 1 1 2 2 1 3 3 1 3 3 1 1 3 2 3 2 2 2 1 1 3 1 2 2 3 3 3 3 1 3 3 1 2 3 2 1 2 1 3 1 3 2 1 2 1 3 1 1 1 2 3 2 2 1 3 1 3 3 3 2 1 2 1 2 1 2 3 3 3 1 3 1 1 2 2 3 1 1 1 2 1 1 3 2 1 1 3 3 2 2 1 3 1 2 2 2 2 ...

output:

334023

result:

ok "334023"

Test #15:

score: 0
Accepted
time: 204ms
memory: 47148kb

input:

1
1000000 1000000
2 2 3 1 3 2 3 2 2 3 3 2 3 3 1 1 1 3 3 1 2 2 3 1 1 2 1 3 3 3 1 1 1 2 1 2 3 1 1 3 3 3 3 3 1 3 3 1 2 1 1 3 2 1 2 3 3 2 3 2 3 3 1 2 3 3 3 3 2 1 2 1 1 2 1 3 2 2 3 3 3 1 2 2 3 2 3 3 2 2 1 3 3 1 2 1 2 1 1 2 2 1 1 3 2 3 3 2 3 2 1 2 1 2 2 3 3 2 3 2 1 2 1 3 2 3 1 2 2 2 1 1 3 1 2 2 1 1 1 1 1 ...

output:

334141

result:

ok "334141"