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 Subsequence | didu | AC ✓ | 214ms | 47200kb | C++14 | 3.2kb | 2024-07-10 08:35:17 | 2024-07-10 08:35:17 |
Judging History
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
详细
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"