Submission #2313303
Source Code Expand
#include<cstdio> #include<cstdlib> #include<cstring> #include<cmath> #include<algorithm> #include<iostream> #define LL long long #define inf 1e17 #define N 200005 #define forson(p) for(int i=head[p];i;i=ne[i]) using namespace std; int gi() { int res=0,s=1; char ch; for(ch=getchar();(ch<'0'||ch>'9')&&ch!='-';ch=getchar()); if(ch=='-') s=-1,ch=getchar(); for(;ch>='0'&&ch<='9';ch=getchar()) res=res*10+ch-48; return res*s; } int n,m,key[N],head[N],len[N<<1],to[N<<1],ne[N<<1],num,siz[N]; int mn,pos,F[N][20],dp[N],vis[N],col[N],que[N],fa[N],mark[N]; LL ans,dis[N][20]; struct tag { int fr; LL mindis; void init() {fr=0,mindis=inf;} tag operator + (const LL &o) const { return (tag){fr,mindis+o}; } bool operator < (const tag &o) const { return mindis==o.mindis ? fr<o.fr : mindis<o.mindis; } }poi[N],now[N],tg; void adde(int u,int v,int w) { to[++num]=v,ne[num]=head[u],head[u]=num,len[num]=w; to[++num]=u,ne[num]=head[v],head[v]=num,len[num]=w; } void findrt(int p,int f,int tot) { siz[p]=1; int mmax=0; forson(p) if(!vis[to[i]]&&to[i]!=f) findrt(to[i],p,tot),siz[p]+=siz[to[i]],mmax=max(mmax,siz[to[i]]); mmax=max(mmax,tot-siz[p]); if(mmax<mn) mn=mmax,pos=p; } void dfssiz(int p,int f) { siz[p]=1; forson(p) if(!vis[to[i]]&&to[i]!=f) dfssiz(to[i],p),siz[p]+=siz[to[i]]; } void dfsdis(int p,int f,LL d,int o) { F[p][dp[p]-dp[o]]=o,dis[p][dp[p]-dp[o]]=d; forson(p) if(dp[to[i]]>dp[o] && to[i]!=f) dfsdis(to[i],p,d+len[i],o); } void solve(int p,int tot,int d) { mn=0x3f3f3f3f,pos=0; findrt(p,0,tot); p=pos,vis[p]=1,dp[p]=d; dfssiz(p,0); forson(p) if(!vis[to[i]]) solve(to[i],siz[to[i]],d+1); dfsdis(p,0,0,p); } int cmp(int x,int y) {return col[x]<col[y];} void upd(int x) { for(int k=0;k<dp[x];++k) if((tag){col[x],dis[x][k]+key[x]} < poi[ F[x][k] ]) poi[ F[x][k] ]=(tag){col[x],dis[x][k]+key[x]}; } int findfa(int x) {return fa[x]==x?x:fa[x]=findfa(fa[x]);} void askmn(int x) { tg.init(); for(int k=0;k<dp[x];++k) if(poi[ F[x][k] ]+dis[x][k]<tg) tg=poi[ F[x][k] ]+dis[x][k]; tg=tg+key[x]; } int main() { n=gi(); for(int i=1;i<=n;++i) key[i]=gi(); for(int i=1,u,v;i<n;++i) u=gi(),v=gi(),adde(u,v,gi()); solve(1,n,1); for(int i=1;i<=n;++i) col[i]=i; m=n; //Boruvka while(m>1) { for(int i=1;i<=n;++i) que[i]=i; sort(que+1,que+n+1,cmp); for(int i=1;i<=n;++i) poi[i].init(); for(int i=1,j=1;i<=n;) { now[col[que[i]]].init(); for(j=i;col[que[j]]==col[que[i]] && j<=n;++j) { if(i==1) continue; askmn(que[j]); if(tg<now[col[que[i]]]) now[col[que[i]]]=tg; } for(;i<j;++i) upd(que[i]); } for(int i=1;i<=n;++i) poi[i].init(); for(int i=n,j=n;i>=1;) { for(j=i;col[que[j]]==col[que[i]] && j>=1;--j) { if(i==n) continue; askmn(que[j]); if(tg<now[col[que[i]]]) now[col[que[i]]]=tg; } for(;i>j;--i) upd(que[i]); } for(int i=1;i<=m;++i) fa[i]=i,mark[i]=0; for(int i=1;i<=m;++i) if(findfa(now[i].fr)!=findfa(i)) fa[fa[now[i].fr]]=fa[i],ans+=now[i].mindis; int mm=m; m=0; for(int i=1;i<=mm;++i) if(!mark[findfa(i)]) mark[fa[i]]=++m; for(int i=1;i<=n;++i) col[i]=mark[fa[col[i]]]; } printf("%lld\n",ans); return 0; }
Submission Info
Submission Time | |
---|---|
Task | J - Tree MST |
User | bluestocking |
Language | C++14 (GCC 5.4.1) |
Score | 1900 |
Code Size | 3370 Byte |
Status | AC |
Exec Time | 1641 ms |
Memory | 77568 KB |
Judge Result
Set Name | sample | All | ||||
---|---|---|---|---|---|---|
Score / Max Score | 0 / 0 | 1900 / 1900 | ||||
Status |
|
|
Set Name | Test Cases |
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sample | sample-01.txt, sample-02.txt, sample-03.txt |
All | sample-01.txt, sample-02.txt, sample-03.txt, 01-01.txt, 01-02.txt, 01-03.txt, 01-04.txt, 01-05.txt, 01-06.txt, 01-07.txt, 01-08.txt, 01-09.txt, 01-10.txt, 01-11.txt, 01-12.txt, 01-13.txt, 01-14.txt, 01-15.txt, 01-16.txt, 01-17.txt, 01-18.txt, 01-19.txt, 01-20.txt, 01-21.txt, 01-22.txt, 01-23.txt, 01-24.txt, 01-25.txt, 01-26.txt, 01-27.txt, 01-28.txt, 01-29.txt, 01-30.txt, 01-31.txt, 01-32.txt, 01-33.txt, 01-34.txt, 01-35.txt, 01-36.txt, 01-37.txt, 01-38.txt, 01-39.txt, 01-40.txt, 01-41.txt, 01-42.txt, 01-43.txt, 01-44.txt, 01-45.txt, 01-46.txt, 01-47.txt, 01-48.txt, 01-49.txt, 01-50.txt, 01-51.txt, 01-52.txt, 01-53.txt, 01-54.txt, 01-55.txt, 01-56.txt, 01-57.txt, 01-58.txt, 01-59.txt, 01-60.txt, 01-61.txt, 01-62.txt, 01-63.txt, 01-64.txt, 01-65.txt, 01-66.txt, 01-67.txt, 01-68.txt, 01-69.txt, 01-70.txt, 01-71.txt, 01-72.txt, 01-73.txt, 01-74.txt, 01-75.txt, 01-76.txt, 01-77.txt, 01-78.txt, 01-79.txt, 01-80.txt, 01-81.txt, 01-82.txt, 01-83.txt, 01-84.txt, 01-85.txt, 01-86.txt, 01-87.txt, 01-88.txt, 01-89.txt, 01-90.txt, sample-01.txt, sample-02.txt, sample-03.txt |
Case Name | Status | Exec Time | Memory |
---|---|---|---|
01-01.txt | AC | 187 ms | 17152 KB |
01-02.txt | AC | 4 ms | 16640 KB |
01-03.txt | AC | 4 ms | 16640 KB |
01-04.txt | AC | 26 ms | 16768 KB |
01-05.txt | AC | 831 ms | 65152 KB |
01-06.txt | AC | 1028 ms | 65152 KB |
01-07.txt | AC | 1007 ms | 65152 KB |
01-08.txt | AC | 1006 ms | 65152 KB |
01-09.txt | AC | 918 ms | 65152 KB |
01-10.txt | AC | 912 ms | 65280 KB |
01-11.txt | AC | 1004 ms | 65152 KB |
01-12.txt | AC | 836 ms | 65152 KB |
01-13.txt | AC | 922 ms | 65280 KB |
01-14.txt | AC | 934 ms | 65152 KB |
01-15.txt | AC | 745 ms | 65152 KB |
01-16.txt | AC | 748 ms | 65152 KB |
01-17.txt | AC | 679 ms | 65152 KB |
01-18.txt | AC | 654 ms | 65152 KB |
01-19.txt | AC | 547 ms | 65280 KB |
01-20.txt | AC | 852 ms | 66304 KB |
01-21.txt | AC | 849 ms | 66304 KB |
01-22.txt | AC | 806 ms | 66304 KB |
01-23.txt | AC | 794 ms | 66304 KB |
01-24.txt | AC | 793 ms | 66304 KB |
01-25.txt | AC | 797 ms | 66304 KB |
01-26.txt | AC | 800 ms | 66304 KB |
01-27.txt | AC | 685 ms | 66304 KB |
01-28.txt | AC | 627 ms | 66304 KB |
01-29.txt | AC | 576 ms | 66304 KB |
01-30.txt | AC | 285 ms | 65152 KB |
01-31.txt | AC | 260 ms | 65152 KB |
01-32.txt | AC | 257 ms | 65152 KB |
01-33.txt | AC | 253 ms | 65152 KB |
01-34.txt | AC | 201 ms | 65152 KB |
01-35.txt | AC | 990 ms | 77568 KB |
01-36.txt | AC | 926 ms | 77568 KB |
01-37.txt | AC | 903 ms | 77568 KB |
01-38.txt | AC | 905 ms | 77568 KB |
01-39.txt | AC | 845 ms | 77568 KB |
01-40.txt | AC | 788 ms | 77568 KB |
01-41.txt | AC | 128 ms | 67200 KB |
01-42.txt | AC | 128 ms | 67840 KB |
01-43.txt | AC | 128 ms | 67328 KB |
01-44.txt | AC | 128 ms | 66944 KB |
01-45.txt | AC | 1628 ms | 65280 KB |
01-46.txt | AC | 1640 ms | 65280 KB |
01-47.txt | AC | 1641 ms | 65408 KB |
01-48.txt | AC | 825 ms | 77568 KB |
01-49.txt | AC | 831 ms | 77568 KB |
01-50.txt | AC | 837 ms | 77568 KB |
01-51.txt | AC | 735 ms | 77568 KB |
01-52.txt | AC | 822 ms | 77568 KB |
01-53.txt | AC | 764 ms | 77568 KB |
01-54.txt | AC | 726 ms | 77568 KB |
01-55.txt | AC | 912 ms | 65408 KB |
01-56.txt | AC | 945 ms | 65280 KB |
01-57.txt | AC | 897 ms | 65152 KB |
01-58.txt | AC | 936 ms | 65152 KB |
01-59.txt | AC | 925 ms | 65280 KB |
01-60.txt | AC | 900 ms | 65280 KB |
01-61.txt | AC | 942 ms | 65280 KB |
01-62.txt | AC | 1093 ms | 65152 KB |
01-63.txt | AC | 962 ms | 65152 KB |
01-64.txt | AC | 1020 ms | 66688 KB |
01-65.txt | AC | 955 ms | 66944 KB |
01-66.txt | AC | 986 ms | 67200 KB |
01-67.txt | AC | 953 ms | 65408 KB |
01-68.txt | AC | 963 ms | 65152 KB |
01-69.txt | AC | 969 ms | 65280 KB |
01-70.txt | AC | 955 ms | 67328 KB |
01-71.txt | AC | 923 ms | 67584 KB |
01-72.txt | AC | 944 ms | 67840 KB |
01-73.txt | AC | 621 ms | 65280 KB |
01-74.txt | AC | 609 ms | 65408 KB |
01-75.txt | AC | 656 ms | 65152 KB |
01-76.txt | AC | 720 ms | 65280 KB |
01-77.txt | AC | 668 ms | 65408 KB |
01-78.txt | AC | 659 ms | 65152 KB |
01-79.txt | AC | 651 ms | 65280 KB |
01-80.txt | AC | 631 ms | 65792 KB |
01-81.txt | AC | 635 ms | 65664 KB |
01-82.txt | AC | 677 ms | 66816 KB |
01-83.txt | AC | 637 ms | 66816 KB |
01-84.txt | AC | 694 ms | 66944 KB |
01-85.txt | AC | 665 ms | 65408 KB |
01-86.txt | AC | 677 ms | 65664 KB |
01-87.txt | AC | 664 ms | 65536 KB |
01-88.txt | AC | 702 ms | 68480 KB |
01-89.txt | AC | 700 ms | 67328 KB |
01-90.txt | AC | 691 ms | 66944 KB |
sample-01.txt | AC | 4 ms | 16640 KB |
sample-02.txt | AC | 4 ms | 16640 KB |
sample-03.txt | AC | 4 ms | 16640 KB |