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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#410403#7506. StrCartesiangrass8cowTL 27ms28460kbC++174.9kb2024-05-13 23:12:482024-05-13 23:12:48

Judging History

你现在查看的是最新测评结果

  • [2024-05-13 23:12:48]
  • 评测
  • 测评结果:TL
  • 用时:27ms
  • 内存:28460kb
  • [2024-05-13 23:12:48]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define pi pair<int,int>
#define fi first
#define se second
#define pb push_back
const int M=5e4+10,N=2e6+10;
int al[M],ar[M],bl[M],br[M];
char c[N];
int lg[N];
namespace Sa{
    int sa[N<<2],t[N<<2],rk[N<<2],tr[N<<2];
    int f[N][22],m;
    void build(int n){
        m=128;
        for(int i=1;i<=n;i++)t[rk[i]=c[i]]++;
        for(int i=1;i<=m;i++)t[i]+=t[i-1];
        for(int i=n;i;i--)sa[t[rk[i]]--]=i;
        for(int k=1;;k<<=1){
            int p=0;
            for(int i=n-k+1;i<=n;i++)tr[++p]=i;
            for(int i=1;i<=n;i++)if(sa[i]>k)tr[++p]=sa[i]-k;
            for(int i=1;i<=m;i++)t[i]=0;
            for(int i=1;i<=n;i++)t[rk[i]]++;
            for(int i=1;i<=m;i++)t[i]+=t[i-1];
            for(int i=n;i;i--)sa[t[rk[tr[i]]]--]=tr[i];
            for(int i=1;i<=n;i++)tr[i]=rk[i];
            rk[sa[1]]=p=1;
            for(int i=2;i<=n;i++)
                rk[sa[i]]=(tr[sa[i-1]]==tr[sa[i]]&&tr[sa[i-1]+k]==tr[sa[i]+k])?p:(++p);
            if(p==n)break;m=p;
        }
        for(int i=1,k=0;i<=n;i++){
            if(k)k--;
            int j=sa[rk[i]-1];
            while(i+k<=n&&j+k<=n&&c[i+k]==c[j+k])k++;
            f[rk[i]][0]=k;
        }
        for(int j=1;j<=20;j++)for(int i=1;i+(1<<j)-1<=n;i++)f[i][j]=min(f[i][j-1],f[i+(1<<(j-1))][j-1]);
    }
    int lcp(int x,int y){
        x=rk[x],y=rk[y];if(x>y)swap(x,y);
        if(x==y)return N;
        x++;int k=lg[y-x+1];
        return min(f[x][k],f[y-(1<<k)+1][k]);
    }
    int cts(int ax,int bx,int ay,int by){
        vector<pi>x,y;
        x.pb({bl[bx],br[bx]});
        x.pb({al[ax],ar[ax]});
        y.pb({bl[by],br[by]});
        y.pb({al[ay],ar[ay]});
        while(!x.empty()&&!y.empty()){
            pi A=x.back(),B=y.back();x.pop_back(),y.pop_back();
            int lc=lcp(A.fi,B.fi),mo=min(A.se-A.fi+1,B.se-B.fi+1);
            if(lc<mo)return (c[A.fi+lc]<c[B.fi+lc])?1:-1;
            A.fi+=mo,B.fi+=mo;
            if(A.fi<=A.se)x.pb(A);
            if(B.fi<=B.se)y.pb(B);
        }
        if(!y.empty())return 1;
        if(!x.empty())return -1;
        return 0;
    }
}
int m,sa[M];
namespace Trie{
    int ch[N][26],cn,e,wh[N],bl_[M],br_[M];
    void dfs(int x){
        if(wh[x])sa[++e]=wh[x];
        for(int i=0;i<26;i++)if(ch[x][i])dfs(ch[x][i]);
    }
    void get(){
        cn=1;
        for(int i=1;i<=m;i++){
            int u=1;
            for(int j=bl[i];j<=br[i];j++){
                int z=c[j]-'a';
                if(!ch[u][z])ch[u][z]=++cn;
                u=ch[u][z];
            }
            wh[u]=i;
        }
        dfs(1);assert(e==m);
        for(int i=1;i<=m;i++)bl_[i]=bl[sa[i]],br_[i]=br[sa[i]];
        for(int i=1;i<=m;i++)bl[i]=bl_[i],br[i]=br_[i];
    }
}
#define ll long long
mt19937 rnd(time(0));
int n,pl[50100],pr[50100],t1[50100],t2[50100];
void Sol(ll k){
    for(int i=1;i<=n;i++)pl[i]=1,pr[i]=m;
    while(1){
        ll ns=0;
        for(int i=1;i<=n;i++)if(pl[i]<=pr[i])ns+=pr[i]-pl[i]+1;
        assert(ns);
        ll wh=(rnd()*rnd()%ns+ns)%ns;
        int X=-1,Y=-1;
        for(int i=1;i<=n;i++)if(pl[i]<=pr[i]){
            if(wh<pr[i]-pl[i]+1){X=i,Y=pl[i]+wh;break;}
            else wh-=pr[i]-pl[i]+1;
        }
        ll s1=0,s2=0;
        for(int i=1;i<=n;i++)if(pl[i]<=pr[i]){
            int l=pl[i],r=pr[i];
            t1[i]=t2[i]=l-1;
            if(Sa::cts(i,l,X,Y)==1){
                if(Sa::cts(i,r,X,Y)==1)t1[i]=r;
                else{
                    while(l<=r){
                        int mi=(l+r)>>1;
                        if(Sa::cts(i,mi,X,Y)==1)t1[i]=mi,l=mi+1;
                        else r=mi-1;
                    }
                }
            }
            s1+=t1[i]-pl[i]+1;
            l=pl[i],r=pr[i];
            if(Sa::cts(i,l,X,Y)>=0){
                if(Sa::cts(i,r,X,Y)>=0)t2[i]=r;
                else{
                    while(l<=r){
                        int mi=(l+r)>>1;
                        if(Sa::cts(i,mi,X,Y)>=0)t2[i]=mi,l=mi+1;
                        else r=mi-1;
                    }
                }
            }
            s2+=t2[i]-pl[i]+1;
        }
        if(s1<k&&k<=s2){printf("%d %d\n",X,sa[Y]);return;}
        assert(s2);
        if(k<=s1){for(int i=1;i<=n;i++)if(pl[i]<=pr[i])pr[i]=t1[i];}
        else{k-=s2;for(int i=1;i<=n;i++)if(pl[i]<=pr[i])pl[i]=t2[i]+1;}
    }
}
int ns;
int main(){
    lg[0]=-1;
    for(int i=1;i<=2000000;i++)lg[i]=lg[i>>1]+1;
    scanf("%d%d",&n,&m);
    for(int i=1;i<=n;i++){
        scanf("%s",c+ns+1);int L=strlen(c+ns+1);
        al[i]=ns+1,ar[i]=ns+L,ns+=L;
        pl[i]=1,pr[i]=m;
    }
    for(int i=1;i<=m;i++){
        scanf("%s",c+ns+1);int L=strlen(c+ns+1);
        bl[i]=ns+1,br[i]=ns+L,ns+=L;
    }
    Trie::get();Sa::build(ns);
    int q;scanf("%d",&q);
    ll K;
    while(q--)scanf("%lld",&K),Sol(K);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 28460kb

input:

2 3
a
ab
a
aa
ba
2
3
4

output:

1 3
2 1

result:

ok Correct Answer

Test #2:

score: 0
Accepted
time: 27ms
memory: 28436kb

input:

27 28
ptdtljwzjbyctrjetnossaiogcfce
kmuwnsxjenpjybcwrecoqddbltzvnkzzrxvne
lsbqkpbgihqahpotzrnggqrompohf
ixonxrpixmurqgdtedhavpawmddfw
ruhqnxhvucv
fvarlrf
uyxxjzjf
tlzrxaykw
kldatopsv
fywmszxti
yraazxvbfebdhekphdrqhvpmferaghezebm
dovtqdvdd
waohxsasgl
biakvxhqx
aeyzaqum
repmbqtrvwd
dvqojkduc
sjxapwnyz...

output:

23 1
2 27
4 11
2 11
21 9
11 13
7 6
27 1
5 26
17 3
21 23
1 10
6 25
13 5
17 20
22 22
1 5
23 21
10 23
3 18
10 14
16 14
18 5
22 26
14 6
12 22
19 17
14 17
23 28
10 20
26 15
27 6
19 28
16 27
21 25
16 1
6 8
10 20
12 19
1 10
17 10
14 14
18 19
15 27
10 9
9 27
4 19
8 1
17 7
21 1
17 26
26 13
22 13
27 7
2 28
15...

result:

ok Correct Answer

Test #3:

score: -100
Time Limit Exceeded

input:

21673 22789
osjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwn...

output:

11748 7566
13026 16461
9916 11268
12937 6138
20884 12212
310 19018
14665 17118
7698 15274
18832 22061
7551 10949
12970 7192
1098 9710
19691 12422
5351 11239
14696 2061
2889 12319
8909 10800
6739 1691
19504 5705
599 16293
2991 6114
20067 16922
11544 17617
7562 4195
7364 20824
19750 22736
15334 22205
...

result: