QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#260212 | #5425. Proposition Composition | grass8cow | WA | 69ms | 27208kb | C++17 | 4.1kb | 2023-11-21 22:16:00 | 2023-11-21 22:16:02 |
Judging History
answer
#include<bits/stdc++.h>
#define ll long long
using namespace std;
int n,m,U[301000],V[300100];ll ans[301000];
int fa[300100],sg[300100];
int F(int x){if(x==fa[x])return x;return fa[x]=F(fa[x]);}
void sol__(){
for(int i=1;i<=n;i++)fa[i]=i;for(int i=1;i<n;i++)sg[i]=0;
int c0=n-1,c1=0;
for(int i=1;i<=m;i++){
if(U[i]>V[i])swap(U[i],V[i]);
int l=F(U[i]),r=F(V[i]);
while(l!=r){
if(sg[l]==0)c0--,c1++;else c1--;
sg[l]++,l=F(l+1);
}
l=F(U[i]);
while(l!=r){int fp=F(l+1);if(sg[l]==2)fa[l]=fp;l=fp;}
ans[i]=1ll*c0*i+c1+1ll*c0*(n-1-c0);
}
}
#define pi pair<int,int>
#define mp make_pair
#define pb push_back
#define fi first
#define se second
int col[301000],pre[301000],nxt[301000],sz[1200100],sc;
int k1[1201000],k2[1200100];
ll ns;
void build(int p,int l,int r){
if(l==r){k1[p]=k2[p]=l;return;}
int mid=(l+r)>>1;build(p<<1,l,mid),build(p<<1|1,mid+1,r);
k1[p]=(pre[k1[p<<1]]<pre[k1[p<<1|1]])?k1[p<<1]:k1[p<<1|1];
k2[p]=(nxt[k2[p<<1]]>nxt[k2[p<<1|1]])?k2[p<<1]:k2[p<<1|1];
}
int ask1(int p,int l,int r,int x,int y){
if(x<=l&&r<=y)return k1[p];
int mid=(l+r)>>1;
if(y<=mid)return ask1(p<<1,l,mid,x,y);
if(x>mid)return ask1(p<<1|1,mid+1,r,x,y);
int o1=ask1(p<<1,l,mid,x,y),o2=ask1(p<<1|1,mid+1,r,x,y);
return (pre[o1]<pre[o2])?o1:o2;
}
int ask2(int p,int l,int r,int x,int y){
if(x<=l&&r<=y)return k2[p];
int mid=(l+r)>>1;
if(y<=mid)return ask2(p<<1,l,mid,x,y);
if(x>mid)return ask2(p<<1|1,mid+1,r,x,y);
int o1=ask2(p<<1,l,mid,x,y),o2=ask2(p<<1|1,mid+1,r,x,y);
return (nxt[o1]>nxt[o2])?o1:o2;
}
ll C2(ll x){return x*(x-1)/2;}
void cut1(pi l,pi r){
nxt[l.se]=r.se,pre[r.se]=l.se;
int co=col[l.fi],S=sz[co],s2=0;
for(int i=l.fi;i!=r.fi;i=nxt[i]){s2++;if(s2*2>S)break;}
s2++,sc++;
if(s2*2<=S){
sz[co]=S-s2,sz[sc]=s2;
for(int i=l.fi;i!=r.fi;i=nxt[i])col[i]=sc;col[r.fi]=sc;
}
else{
s2=0;
for(int i=l.se;i!=n+1;i=pre[i])col[i]=sc,s2++;
for(int i=r.se;i;i=nxt[i])col[i]=sc,s2++;
sz[co]=S-s2,sz[sc]=s2;
}
ns-=C2(S),ns+=C2(sz[co]),ns+=C2(sz[sc]);
}
void cut2(pi x){
nxt[x.se]=0;
int co=col[x.fi],S=sz[co],s2=0;
for(int i=x.fi;i;i=nxt[i]){s2++;if(s2*2>S)break;}
sc++;
if(s2*2<=S){
sz[co]=S-s2,sz[sc]=s2;
for(int i=x.fi;i;i=nxt[i])col[i]=sc;
}
else{
s2=0;for(int i=x.se;i!=n+1;i=pre[i])col[i]=sc,s2++;
sz[co]=S-s2,sz[sc]=s2;
}
ns-=C2(S),ns+=C2(sz[co]),ns+=C2(sz[sc]);
}
void cut3(pi x){
pre[x.se]=n+1;
int co=col[x.fi],S=sz[co],s2=0;
for(int i=x.fi;i!=n+1;i=pre[i]){s2++;if(s2*2>S)break;}
sc++;
if(s2*2<=S){
sz[co]=S-s2,sz[sc]=s2;
for(int i=x.fi;i!=n+1;i=pre[i])col[i]=sc;
}
else{
s2=0;for(int i=x.se;i;i=nxt[i])col[i]=sc,s2++;
sz[co]=S-s2,sz[sc]=s2;
}
ns-=C2(S),ns+=C2(sz[co]),ns+=C2(sz[sc]);
}
void sol_(){
n--;
ns=C2(n);
for(int i=1;i<=n;i++)col[i]=1;sz[1]=n;
sc=1;
for(int i=1;i<n;i++)pre[i+1]=i,nxt[i]=i+1;pre[1]=n+1,nxt[n]=0;
build(1,1,n);
for(int i=1;i<=m;i++){
if(U[i]>V[i])swap(U[i],V[i]);if(U[i]==V[i]){
ans[i]+=ns;continue;};V[i]--;
vector<pi>o1,o2;
while(1){
int sb=ask1(1,1,n,U[i],V[i]),pr=pre[sb];
if(pr>=U[i])break;
o1.pb(mp(sb,pr)),pre[sb]=n+1;
}
while(1){
int sb=ask2(1,1,n,U[i],V[i]),nx=nxt[sb];
if(nx<=V[i])break;
o2.pb(mp(sb,nx)),nxt[sb]=0;
}
sort(o1.begin(),o1.end(),[&](pi x,pi y){return col[x.fi]<col[y.fi];}),
sort(o2.begin(),o2.end(),[&](pi x,pi y){return col[x.fi]<col[y.fi];});
int i1=0,i2=0;
while(i1<(int)o1.size()&&i2<(int)o2.size()){
if(col[o1[i1].fi]==col[o2[i2].fi])cut1(o1[i1],o2[i2]),i1++,i2++;
else if(col[o1[i1].fi]<col[o2[i2].fi])cut2(o1[i1]),i1++;
else cut3(o2[i2]),i2++;
}
while(i1<(int)o1.size())cut2(o1[i1]),i1++;
while(i2<(int)o2.size())cut3(o2[i2]),i2++;
ans[i]+=ns;
}
}
void sol(){
scanf("%d%d",&n,&m);
for(int i=1;i<=m;i++)scanf("%d%d",&U[i],&V[i]),ans[i]=0;
if(n==1){for(int i=1;i<=m;i++)puts("0");return;}
sol__();
sol_();
for(int i=1;i<=m;i++)printf("%lld\n",ans[i]);
}
int main(){
int T;scanf("%d",&T);while(T--)sol();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 18168kb
input:
3 4 3 2 4 4 2 3 3 7 3 3 4 1 2 1 7 6 4 1 3 4 6 2 5 3 4
output:
6 5 6 21 24 10 15 12 3 2
result:
ok 10 numbers
Test #2:
score: 0
Accepted
time: 47ms
memory: 16108kb
input:
45540 10 9 10 1 1 10 10 1 1 10 1 10 10 1 1 10 3 3 10 1 10 4 1 2 1 10 3 4 1 10 7 6 7 1 5 6 1 7 6 6 7 1 6 7 9 7 3 3 7 7 5 4 1 1 9 1 9 1 6 5 8 7 1 8 4 4 5 6 1 1 1 8 6 6 4 5 3 3 3 2 3 1 3 3 3 9 3 1 3 3 2 2 3 3 3 1 2 2 1 1 2 3 3 1 10 1 2 1 7 1 1 7 3 8 1 3 1 3 3 3 1 3 2 2 1 3 1 3 3 3 3 6 3 1 1 3 1 3 1 3 1...
output:
45 36 36 36 36 36 36 36 36 45 36 28 21 21 15 10 10 10 6 36 44 50 57 28 21 15 28 28 21 21 15 15 10 3 1 1 3 3 3 3 1 1 1 0 0 45 21 3 1 1 1 1 1 1 1 3 1 1 1 1 1 45 36 36 36 36 36 36 36 3 3 1 0 0 0 0 0 0 3 1 0 0 15 10 10 0 0 0 0 0 0 0 0 28 34 21 6 6 6 6 1 0 0 21 15 15 0 0 0 0 0 0 0 45 53 0 0 0 0 0 0 0 0 1...
result:
ok 249586 numbers
Test #3:
score: 0
Accepted
time: 50ms
memory: 18096kb
input:
2507 86 4 41 41 36 36 31 30 86 1 110 22 1 110 110 1 11 11 110 1 110 1 110 1 1 110 107 106 72 72 106 106 74 74 1 110 110 1 58 58 110 1 110 1 1 110 101 100 110 1 100 100 110 1 8 7 114 180 114 1 114 1 114 1 1 114 1 114 114 1 37 38 49 48 105 106 1 114 90 90 1 114 9 9 114 1 67 68 20 20 114 1 1 114 54 55 ...
output:
3655 3740 3823 3570 5995 5886 5886 5886 5886 5886 5886 5778 5778 5778 5778 5778 5778 5778 5778 5778 5778 5671 5671 5671 5671 5565 6441 6328 6328 6328 6328 6328 6216 6105 5995 5995 5995 5995 5995 5995 5886 5886 5886 5886 5778 5671 5671 5565 5565 5460 5460 5460 5460 5460 5356 5253 5253 5253 5151 5151 ...
result:
ok 249877 numbers
Test #4:
score: 0
Accepted
time: 40ms
memory: 21628kb
input:
3 82425 27858 30801 30802 1 82425 73850 73850 1 82425 65949 65949 82425 1 76026 76025 61936 61936 82425 1 82425 1 82425 1 6504 6504 82425 1 25155 25156 79743 79743 1 82425 69406 69406 29247 29247 18351 18351 23171 23170 29704 29703 82425 1 1 82425 82425 1 74918 74917 22395 22394 893 894 82425 1 391 ...
output:
3396899100 3396816676 3396816676 3396734253 3396734253 3396734253 3396651831 3396651831 3396651831 3396651831 3396651831 3396651831 3396651831 3396569410 3396569410 3396569410 3396569410 3396569410 3396569410 3396486990 3396404571 3396404571 3396404571 3396404571 3396322153 3396239736 3396157320 339...
result:
ok 116748 numbers
Test #5:
score: 0
Accepted
time: 69ms
memory: 27208kb
input:
1 250000 250000 248617 248617 1 250000 47808 47809 1 250000 1 250000 110493 110494 1 250000 66675 66676 141326 141327 250000 1 115279 115280 193218 193219 250000 1 77714 77715 1 250000 1 250000 212943 212943 223061 223060 1 250000 250000 1 1 250000 71059 71059 1 250000 246523 246522 1 250000 88700 8...
output:
31249875000 31249875000 31249625001 31249375003 31249375003 31249125006 31249125006 31248875010 31248625015 31248625015 31248375021 31248125028 31248125028 31247875036 31247875036 31247875036 31247875036 31247625045 31247625045 31247625045 31247625045 31247625045 31247625045 31247375055 31247375055 ...
result:
ok 250000 numbers
Test #6:
score: -100
Wrong Answer
time: 61ms
memory: 18120kb
input:
45364 9 7 1 8 9 8 8 9 8 2 9 8 2 8 4 2 10 2 2 10 1 10 10 7 8 9 4 4 10 10 1 10 2 9 9 1 6 8 6 7 6 2 5 1 1 5 5 5 1 5 2 3 5 1 10 1 2 10 9 6 1 8 2 9 2 1 9 8 2 8 8 1 1 4 1 1 1 1 1 1 1 1 8 1 2 2 3 7 3 2 2 2 3 1 2 3 2 3 3 3 3 3 5 1 4 2 3 9 3 1 1 2 1 2 2 1 2 1 1 1 3 2 2 2 3 2 3 2 3 1 3 2 3 6 3 1 2 2 2 2 1 3 3...
output:
36 29 28 16 16 16 8 45 29 45 53 61 36 18 17 9 15 5 4 4 4 2 2 45 36 17 16 15 15 15 0 0 0 0 28 3 4 1 1 1 1 1 10 3 1 1 1 1 1 0 0 0 3 1 3 3 3 1 0 0 6 36 30 12 8 8 3 4 5 5 1 0 0 0 0 0 6 5 6 1 0 0 0 0 0 0 28 32 19 20 11 7 7 21 17 17 12 4 3 2 1 1 21 11 7 6 3 3 1 2 1 1 28 25 21 22 23 23 24 11 1 1 28 1 1 0 0...
result:
wrong answer 15th numbers differ - expected: '16', found: '17'