QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#717693 | #9492. 树上简单求和 | sunrise1024 | 5 | 61ms | 43124kb | C++14 | 4.0kb | 2024-11-06 18:43:11 | 2024-11-06 18:43:12 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll=long long;
using ull=unsigned long long;
const int N=4e5+5;
const int K=700;
const int M=N/K+5;
int n,m;
ull a[N];
int cn1,cn2;
int tp1[N],tp2[N];
int in1[N],out1[N],in2[N],out2[N];
vector<int> e1[N],e2[N];
int d1[N],d2[N];
int f1[N][20];
int f2[N][20];
ull val[N];
ull tag[M];
ull cn[M][M];
ull s[M];
int kid[N];
int B;
int l[M],r[M];
void dfs1(int no,int fa){
d1[no]=d1[fa]+1;
f1[no][0]=fa;
for(int i=1;i<20;++i)f1[no][i]=f1[f1[no][i-1]][i-1];
in1[no]=++cn1;
tp1[cn1]=no;
for(int to:e1[no]){
if(to==fa)continue;
dfs1(to,no);
}
out1[no]=++cn1;
tp1[cn1]=-no;
}
void dfs2(int no,int fa){
d2[no]=d2[fa]+1;
f2[no][0]=fa;
for(int i=1;i<20;++i)f2[no][i]=f2[f2[no][i-1]][i-1];
in2[no]=++cn2;
tp2[cn2]=no;
for(int to:e2[no]){
if(to==fa)continue;
dfs2(to,no);
}
out2[no]=++cn2;
tp2[cn2]=-no;
}
int lca1(int x,int y){
if(d1[x]<d1[y])swap(x,y);
for(int i=19;i>=0;--i){
if(d1[f1[x][i]]>=d1[y])x=f1[x][i];
}
if(x==y)return x;
for(int i=19;i>=0;--i){
if(f1[x][i]!=f1[y][i]){
x=f1[x][i];
y=f1[y][i];
}
}
return f1[x][0];
}
int lca2(int x,int y){
if(d2[x]<d2[y])swap(x,y);
for(int i=19;i>=0;--i){
if(d2[f2[x][i]]>=d2[y])x=f2[x][i];
}
if(x==y)return x;
for(int i=19;i>=0;--i){
if(f2[x][i]!=f2[y][i]){
x=f2[x][i];
y=f2[y][i];
}
}
return f2[x][0];
}
void add(int x,ull d){
if(!x)return;
for(int i=1;i<kid[x];++i){
tag[i]+=d;
}
for(int i=l[kid[x]];i<=x;++i){
val[i]+=d;
const int id=(tp1[i]>0?tp1[i]:-tp1[i]);
if(tp1[i]>0){
s[kid[in2[id]]]+=d;
s[kid[out2[id]]]-=d;
}
else{
s[kid[in2[id]]]-=d;
s[kid[out2[id]]]+=d;
}
}
}
ull qu(int x){
if(!x)return 0;
ull sum=0;/*
for(int i=1;i<kid[x];++i)sum+=s[i];
for(int i=1;i<=B;++i){
sum+=tag[i]*cn[kid[x]-1][i];
}*/
for(int i=1;i<=x;++i){
const int id=(tp2[i]>0?tp2[i]:-tp2[i]);
if(tp2[i]>0){
sum+=val[in1[id]]+tag[kid[in1[id]]];
sum-=val[out1[id]]+tag[kid[out1[id]]];
}
else{
sum-=val[in1[id]]+tag[kid[in1[id]]];
sum+=val[out1[id]]+tag[kid[out1[id]]];
}
}
return sum;
}
int main(){
scanf("%d%d",&n,&m);
for(int i=1;i<=n;++i){
scanf("%llu",&a[i]);
}
for(int i=1;i<n;++i){
int u,v;
scanf("%d%d",&u,&v);
e1[u].push_back(v);
e1[v].push_back(u);
}
for(int i=1;i<n;++i){
int u,v;
scanf("%d%d",&u,&v);
e2[u].push_back(v);
e2[v].push_back(u);
}
dfs1(1,0);
dfs2(1,0);
B=(cn1-1)/K+1;
for(int i=1;i<=B;++i){
l[i]=r[i-1]+1;
r[i]=i*K;
}
r[B]=cn1;
for(int i=1;i<=B;++i){
for(int j=l[i];j<=r[i];++j){
kid[j]=i;
}
}
for(int i=1;i<=B;++i){
for(int j=1;j<=B;++j)cn[i][j]=cn[i-1][j];
for(int j=l[i];j<=r[i];++j){
const int id=(tp2[j]>0?tp2[j]:-tp2[j]);
if(tp2[j]>0){
cn[i][kid[in1[id]]]++;
cn[i][kid[out1[id]]]--;
}
else{
cn[i][kid[in1[id]]]--;
cn[i][kid[out1[id]]]++;
}
}
}
for(int i=1;i<=n;++i){
val[in1[i]]=a[i];
s[kid[in2[i]]]+=a[i];
}
while(m--){
int x,y;
ull k;
scanf("%d%d%llu",&x,&y,&k);
int lc=lca1(x,y);
add(in1[x],k);
add(in1[y],k);
add(in1[lc],-k);
add(in1[f1[lc][0]],-k);
lc=lca2(x,y);
printf("%llu\n",qu(in2[x])+qu(in2[y])-qu(in2[lc])-qu(in2[f2[lc][0]]));
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 61ms
memory: 40956kb
input:
3000 3000 7236742292501328495 17973811477309806363 16075782662531676171 17971236571771878676 11392080645527132110 3685563455925680459 9773593720088356683 8313828403245053795 7736401634567449043 1634817828009987181 6951124933529719486 12775126714635387213 15460977209223753216 397573676785925632 31372...
output:
12105153858659381124 18367442707572066757 11668241962484097878 11288238120352358472 1742468310074622166 9942835997686093671 3305677510569607477 17741602000425004088 14984128302052618266 1075081718074605786 6509217537832509095 16750513627843273113 8569443169249732820 14475184194298579044 156111071108...
result:
ok 3000 lines
Test #2:
score: 5
Accepted
time: 59ms
memory: 39012kb
input:
3000 3000 1612333876155866602 8538417838700679227 6080765231437578796 17905224638340228394 12270907925903144224 17944105326358594564 17302041033966840611 1006351124625222126 496336153231744288 9393087977687876980 9553975238547373621 9361882717200384390 15051881329169144319 9757999873162420435 882725...
output:
11133131376095771981 7909873024850695144 16250639243139481926 14562550655578101207 8274205996508264973 178549413271904466 2368406276743327913 7464009386554813982 9439464815411774627 1471756740732097060 15201641099137019227 6774030298556871576 18156105511913219667 1553508745644446823 4225137078364117...
result:
ok 3000 lines
Test #3:
score: 5
Accepted
time: 49ms
memory: 39020kb
input:
3000 3000 9709246061666095435 1861649101703072889 10620139893353930613 17635186539135419482 710209455559527146 6075101384669982511 1120305006358459674 9703156967435388252 1397046737759839382 5259056712870179169 8253156305433022999 710199693203327302 15130650033641744675 10720111924616886955 15543351...
output:
7834604406305153073 5037061270969117785 16481572776620825702 15177894197606565804 3120320619896892806 18008650876379132344 7417108723176816402 13515164814425439399 3299769942258542105 15897528270699011770 11642805469843844638 16764682282380318054 4824039114054405772 4859834102876213962 1234210473247...
result:
ok 3000 lines
Test #4:
score: 5
Accepted
time: 52ms
memory: 43124kb
input:
3000 3000 16538965545220923528 18062192327708400751 10422465150728338588 3471522151129113073 1236650672072793692 1942240200040301168 13090729759591037952 15335798523677372669 9912100622761466753 11177948788405690381 3710859061697501523 4984944638666762977 17278589713462878008 6371292801024547050 868...
output:
8182453933067329108 13535217473847106938 17067385337010269798 3806121648880466130 11322569288575153037 11079197311131660121 9670138330007803226 6554062218199796758 965954569567598779 18055887214749050688 6142620503089407421 8690117812667761187 9547139298346295115 8890987597519353054 1755036654049586...
result:
ok 3000 lines
Test #5:
score: 5
Accepted
time: 51ms
memory: 41208kb
input:
3000 3000 17759588706587888497 10550000524636484378 11601004513528075994 7150322911283804521 4459707248078569712 10692395730842402625 8940418793863522991 12967068928670540447 9954278250450015940 13702413838608801301 10598390500439869870 15110245227553613794 490862872212325709 15164980555660957366 94...
output:
9743736929788175512 16812303667256960040 14694223512340829897 550204232580650311 1175342872438242313 17622261358285047637 7413682703975031220 12643066512274062227 1868985217436232595 5471830334855681322 8070132260376389587 3970361922096052085 218281824643752746 991917103472727104 2960248244218479023...
result:
ok 3000 lines
Subtask #2:
score: 0
Time Limit Exceeded
Dependency #1:
100%
Accepted
Test #6:
score: 12
Accepted
time: 5ms
memory: 38624kb
input:
5 7 0 3 2 6 4 1 2 2 4 1 5 5 3 3 4 4 2 2 5 5 1 5 3 0 3 2 5 4 4 4 4 4 3 5 2 0 3 4 3 5 5 6
output:
15 21 10 13 17 26 18
result:
ok 7 lines
Test #7:
score: 0
Time Limit Exceeded
input:
70000 70000 3805295436278888199 9842309351516174725 1566744796319231180 2206519284152256579 2715928675931950447 6346821976624501261 16020972671480798719 14702021753902144915 17127828773798978442 15779168055669690475 4964561323934614661 9395102787554964450 6377076753365184543 15167378195767668817 288...
output:
5971729064136092190 6457394048987305727 13604212649915736394 8639973959364892219 437861319070967556 16133076880026962355 5384937395694479961 4591478439775690843 16071919565966962790 15485626634068969082 10235993901046758372 3449528613427081475 8064280362779764074 12784984512326434905 424951714880051...
result:
Subtask #3:
score: 0
Skipped
Dependency #2:
0%
Subtask #4:
score: 0
Time Limit Exceeded
Test #21:
score: 0
Time Limit Exceeded
input:
200000 200000 622783158027686223 2242697872372232537 8481648430436878777 10092474834140799044 15403999682625301609 12614289513474949582 9180944589267018841 7823784919308285798 8257785171198951273 5134508521895120821 8041682272181381093 3835432206618893170 2653803171409877650 5589823419153460372 1007...
output:
9042998055336671259 11611293489264521142 5835924579879681322 9187084356907537870 17810346410706951073 565636160725988981 837626748701483168 16059573289829807099 7246210357888652619 7725251776483176497 17088098442183693937 9042305714006927228 10907378739216215456 6526772063609981609 51578202456469609...
result:
Subtask #5:
score: 0
Time Limit Exceeded
Test #27:
score: 0
Time Limit Exceeded
input:
200000 200000 1958469220619413759 14991498002015735322 6054491201406941902 18206143187746582567 15082377615826460430 2936248617457291604 10073577150351675920 16534472678586906457 2207599132486246393 10301540360769075442 1492580560381080472 551692353431379140 13238280352539145808 8462626987240986565 ...
output:
11479812171669345085 7612644482907856514 7664363696211351499 10419050713553268082 7115244954460011045 9683711549165598600 15714069303067445091 5098969076555779384 17312050420753525411 13302302653999024684 15237835478514966949 1011923303415334401 15280591493481885526 11613220426756932450 109080667232...
result:
Subtask #6:
score: 0
Time Limit Exceeded
Test #34:
score: 0
Time Limit Exceeded
input:
200000 200000 6794776813641982926 1561596256197101737 10910039723053043515 7892247858295192798 12233819960547881004 17695389034783066733 9173201689566865598 17626618141377486739 7358781671024283919 6787559733384974662 3884392438269280436 14872846228351316833 9037842441501571648 14299818404271084016 ...
output:
5519324519442957729 13462861144392030499 8898301730697138469 4148979398311169421 15090246851327208067 8628707816538336707 13867297907038176506 10296428352441857103 15654304415409320656 7404566644919251615 9870876264015800597 6356224262148620783 249874952637342736 9023132497407647441 1416175985367538...
result:
Subtask #7:
score: 0
Skipped
Dependency #1:
100%
Accepted
Dependency #2:
0%