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 |
---|---|---|---|---|---|---|---|---|---|
#717933 | #9492. 树上简单求和 | liujiameng | 19 | 4495ms | 94984kb | C++14 | 3.8kb | 2024-11-06 19:18:27 | 2024-11-06 19:18:29 |
Judging History
answer
#include<bits/stdc++.h>
#define ull unsigned long long
using namespace std;
const int N = 2e5 + 10, D = 18;
vector<int>g1[N],g2[N];
int n;
int sqn, dl[N], dr[N], dfn, l[N], r[N], bel[N], fa[N][D+1], dep1[N];
ull a1[N], a2[N];
void dfs(int x, int f)
{
dl[x] = ++dfn, fa[x][0] = f, dep1[x] = dep1[f] + 1;
for(int i=1;i<=D;i++) fa[x][i] = fa[fa[x][i-1]][i-1];
for(auto j:g1[x]) if(j!=f) dfs(j,x);
dr[x] = dfn;
}
int LCA(int x, int y)
{
if(dep1[x]>dep1[y]) swap(x,y);
int i;
for(i=D;i>=0;i--) if(dep1[fa[y][i]]>=dep1[x]) y = fa[y][i];
if(x==y) return x;
for(i=D;i>=0;i--) if(fa[x][i]!=fa[y][i]) x = fa[x][i], y = fa[y][i];
return fa[x][0];
}
void init()
{
dfs(1,0);
sqn = 1000;
int i, j;
for(i=1;r[i-1]!=n;i++) l[i] = r[i-1] + 1, r[i] = min(l[i]+sqn-1,n);
sqn = i - 1;
for(i=1;i<=sqn;i++) for(j=l[i];j<=r[i];j++) bel[j] = i;
}
void add(int a, ull x)
{
a = dl[a];
int p = bel[a], i;
for(i=a;i<=r[p];i++) a1[i] += x;
for(i=p+1;i<=sqn;i++) a2[i] += x;
}
ull ask(int x)
{
return a1[dr[x]] + a2[bel[dr[x]]] - a1[dl[x]-1] - a2[bel[dl[x]-1]];
}
ull ans[N], val[N];
struct qq{int id,x,k;}qu[N*4];int cq;
struct op{int x,id;ull y;}ad[N*8];int co;
void ins(int x, int id, ull y){add(x,y),ad[++co]={x,id,y};}
int cnt[N];
int dep[N], p[N], is[N], fa2[N], up[N], faa[N][D+1];
int LCA2(int x, int y)
{
int i;
if(dep[x]>dep[y]) swap(x,y);
for(i=D;i>=0;i--) if(dep[faa[y][i]]>=dep[x]) y = faa[y][i];
if(x==y) return x;
for(i=D;i>=0;i--) if(faa[x][i]!=faa[y][i]) x = faa[x][i], y = faa[y][i];
return faa[x][0];
}
void dfs2(int x, int f)
{
dep[x] = dep[f] + 1, fa2[x] = faa[x][0] = f;
for(int i=1;i<=D;i++) faa[x][i] = faa[faa[x][i-1]][i-1];
for(auto j:g2[x]) if(j!=f) dfs2(j,x);
}
void init2()
{
dfs2(1,0);
int i;
for(i=1;i<=n;i++) p[i] = i;
sort(&p[1],&p[n]+1,[](int a,int b){return dep[a]>dep[b];});
for(i=1;i<n;i++) if(!is[p[i]])
{
int x = p[i], y = fa2[x], z = sqn;
while(y>1&&z)
{
if(is[y]) break;
y = fa2[y], z--;
}
if(z) is[y] = 1;
}
is[1] = 1;
for(i=2;i<=n;i++) if(is[i])
{
int x = fa2[x];
while(!is[x]) x = fa2[x];
up[i] = x;
}
}
void dfsp(int x, int f)
{
for(auto j:g2[x]) if(j!=f) cnt[j] += cnt[x], dfsp(j,x);
}
int main()
{
int m, i, a, b;
scanf("%d%d", &n, &m);
for(i=1;i<=n;i++) scanf("%llu", &val[i]);
for(i=1;i<n;i++) scanf("%d%d", &a, &b), g1[a].emplace_back(b), g1[b].emplace_back(a);
for(i=1;i<n;i++) scanf("%d%d", &a, &b), g2[a].emplace_back(b), g2[b].emplace_back(a);
init(), init2();
for(i=1;i<=n;i++)
{
ins(i,0,val[i]);
if(i>1) ins(fa[i][0],0,-val[i]);
}
for(i=1;i<=m;i++)
{
int x, y, xx, yy, l;
ull k;
scanf("%d%d%llu", &x, &y, &k), xx = x, yy = y;
l = LCA(x,y), ins(x,i,k), ins(y,i,k), ins(l,i,-k);
if(l!=1) ins(fa[l][0],i,-k);
l = LCA2(x,y);
while(!is[x]&&x!=l) ans[i] += ask(x), x = fa2[x];
while(!is[y]&&y!=l) ans[i] += ask(y), y = fa2[y];
if(x==y)
{
ans[i] += ask(l);
continue;
}
qu[++cq] = {i,1,x}, qu[++cq] = {i,1,y};
while(dep[up[x]]>=dep[l]) x = up[x];
while(dep[up[y]]>=dep[l]) y = up[y];
qu[++cq] = {i,-1,x}, qu[++cq] = {i,-1,y};
if(dep[x]>dep[y]) swap(x,y);
while(dep[x]<dep[y]) ans[i] += ask(y), y = fa2[y];
while(x!=y) ans[i] += ask(x) + ask(y), x = fa2[x], y = fa2[y];
ans[i] += ask(x);
}
sort(&qu[1],&qu[cq]+1,[](qq a,qq b){return a.x<b.x;});
for(i=1;i<=cq;)
{
int l = i, r = i, x, j;
ull res = 0;
while(r<=cq&&qu[r].x==qu[l].x) r++;
r--, x = qu[l].x;
for(i=1;i<=n;i++) cnt[i] = 0;
for(i=x;i;i=fa2[i]) cnt[i] = 1;
dfsp(1,0);
sort(&qu[l],&qu[r]+1,[](qq a,qq b){return a.id<b.id;});
for(i=l,j=1;i<=r;i++)
{
while(ad[j].id<=qu[i].id) res += ad[j].y * cnt[ad[j].x];
ans[qu[i].id] += res * qu[j].k;
}
i = r + 1;
}
for(i=1;i<=m;i++) printf("%llu\n", ans[i]);
return 0;
}
詳細信息
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 8ms
memory: 24720kb
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: 8ms
memory: 25908kb
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: 6ms
memory: 25416kb
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: 7ms
memory: 28164kb
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: 8ms
memory: 26096kb
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: 0ms
memory: 22892kb
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: 12
Accepted
time: 356ms
memory: 50876kb
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:
ok 70000 lines
Test #8:
score: 12
Accepted
time: 3776ms
memory: 50896kb
input:
70000 70000 17769190865915081913 3772925482507158804 10559962993069063712 16307277356502651642 12014171661057147061 1923543107882042577 13408785599350410314 17786178374951015816 2038922879833426794 2540043772647346461 15419977514837351390 5175974305273838292 16815288359165841441 6295059675346852046 ...
output:
16215781699519408534 17067966839552063165 1639359200259068228 1157756671621253300 12850966537933214537 13917563606289473282 11146906493479190751 869141055866285398 529460535280965984 11437720548737856517 12321579881011015953 4005153170897692243 10217866116994297464 8892403813874757974 12520505236760...
result:
ok 70000 lines
Test #9:
score: 12
Accepted
time: 2779ms
memory: 50880kb
input:
70000 70000 1322605819855709761 1534349070722535975 3956030287626175223 12996546673549161162 7258680666490714729 15591023033141410544 11626890152249303179 7745771567168540351 5535931029756133379 11840793767439557739 6286106656048048381 9490665709724541446 4561258384162386434 2460318488748442222 1303...
output:
7565012138645637258 1080785033897684285 4000254219257999844 8727142139647715419 1784876728989450460 2474052717732723820 5108017366064709316 5232698473118606856 7893212823648229982 6449010654774296779 16571818815110297674 603759348329356530 7364528294111530037 4667545362378304836 3039728935129459889 ...
result:
ok 70000 lines
Test #10:
score: 12
Accepted
time: 4495ms
memory: 49112kb
input:
70000 70000 2918414982140182939 1004760492603077644 7526656799259998488 6665485253854847449 7752199419154649757 12763267823077347079 11745132191692540338 6726116817426709990 15550876907005962464 9760509858122842638 684733892856965421 10077915441058780247 8380400329996723109 16920573433866702239 3069...
output:
8230389499860859172 16425656898047941538 107743004356580170 9778122844868660722 11068387722102791183 13252614309136720348 15937842372230698728 12777338070107774364 17974062134369145560 3740400391792770609 7367804332878038809 14236246024207211797 5659238205278608512 10550373456364765526 3478082332928...
result:
ok 70000 lines
Test #11:
score: 0
Time Limit Exceeded
input:
70000 70000 14167059704556856337 16190708842842354431 16763990539754009056 7631426709261583690 16701377874952853623 13128000186728267818 13668914249103068169 11444044591715948726 461080622438520919 15327533341012334586 15905150558482528923 18113008235210277231 18273290154232335325 871461822812191943...
output:
result:
Subtask #3:
score: 0
Skipped
Dependency #2:
0%
Subtask #4:
score: 14
Accepted
Test #21:
score: 14
Accepted
time: 1629ms
memory: 91508kb
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:
ok 200000 lines
Test #22:
score: 14
Accepted
time: 2061ms
memory: 90404kb
input:
200000 200000 13175752638648662841 17926176333479943540 18069418271192836667 7662981418770774166 17432280672869071045 9361466030141569604 17336291298429915451 758279154724011577 10229986883918215412 16695796270233481895 1104033984864960726 9768530369533627193 7121962912997584423 8574667967472399164 ...
output:
761007177180158471 99932139211644879 9085452500188024811 10579196290428182519 9823187704909577710 18023302821814112676 12490017484705421441 12628966555486388857 14265121989865566834 6520346880672680237 13101459183526308131 999924043939340162 18263995506773932901 5204528109864295202 12531805215875429...
result:
ok 200000 lines
Test #23:
score: 14
Accepted
time: 1727ms
memory: 93696kb
input:
200000 200000 7686280868723494190 956703982700755675 9999621735507690021 16173863373498393354 13710049849600478540 17103229081434028663 17565545023679367555 2828484246894512005 1583487132574088302 6282276626784421099 11842426946394217784 3255349046251970557 9837219010639574935 8803965402777990679 10...
output:
9027980728293426417 390552393210324231 11163738403290403569 7251051512011369232 11710945043516484177 8385783841330898676 10540689232459717148 13494924758898800208 10783463309429788767 15497109458285729613 3973164643641949159 16591368938886703497 17545967451093599325 7502098747509618204 7748818626114...
result:
ok 200000 lines
Test #24:
score: 14
Accepted
time: 1748ms
memory: 92048kb
input:
200000 200000 3398335727711776744 2517912491303558304 9944108242783740552 11465445588414101188 8918103911029611319 6248803476150904656 13839544089125989886 11613304797643373734 2743278001758631252 5880657146483100262 17520221750013284250 3574310479117269847 17332054826892442501 4186477155186295241 7...
output:
11201243883635739649 5642768912062346910 14237324928813743475 17949858083662777758 7007085524141292752 16431646654432642924 9544485471385114348 17223214017002242047 6358064993672703329 7126356965173878837 10226578739676773239 17581948280120185856 7547085902091221485 2256786006467014785 1348515941789...
result:
ok 200000 lines
Test #25:
score: 14
Accepted
time: 1819ms
memory: 94984kb
input:
200000 200000 16389428600328688123 13285293781493429938 16272776262151288852 2788638121841944928 840590085080737028 472104557233550161 2950757076856426026 884621482021485766 4656207248358869553 4325985129321868698 15439653714414044259 8869605634233383357 2875651646205284961 18315661660942366682 3209...
output:
11670281421082997569 13170194106693978241 4379481616026191349 1374955090149450188 16981223657037354332 15581757479756062245 964815911596550839 14653197660590615612 1244503873454847903 12992317503104122180 8922002840354854569 9883361056075385805 4661992164326801469 5993972796274466263 476463508437351...
result:
ok 200000 lines
Test #26:
score: 14
Accepted
time: 1786ms
memory: 93652kb
input:
200000 200000 8926134977558578929 14277420964906340273 14017501029945049702 16291239250458096854 5699993893720160591 1404316482439341580 6509187990544574711 3321495986616857673 9576515208059172862 16437943937474607467 3444518963957979419 17039197068804123693 9035882298315219046 10231648064038856650 ...
output:
11394865482866208122 4540012560447567167 14181315197904653108 1138165850159307501 4403319165822720694 3554076031362588972 4848001086504005989 17788785233422248859 5278865852900446472 9052657317349052491 7439239802335183804 280124506773607363 4951887064424754895 4442074242463250219 112728736814611771...
result:
ok 200000 lines
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:
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:
result:
Subtask #7:
score: 0
Skipped
Dependency #1:
100%
Accepted
Dependency #2:
0%