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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#718035 | #9492. 树上简单求和 | yaoyanfeng | 22 | 5438ms | 52404kb | C++14 | 3.5kb | 2024-11-06 19:33:05 | 2024-11-06 19:33:06 |
Judging History
answer
#include <bits/stdc++.h>
#define pii pair<int, int>
#define eb emplace_back
#define ull unsigned long long
using namespace std;
const int N = 200200, B = 470;
int n, m, s, t;
int p[N], q[N];
struct Tree{
vector<int> to[N];
int dfn[N], rnk[N], fa[N], nw, siz[N], son[N], top[N], dep[N];
void add(int u, int v) {
to[u].eb(v), to[v].eb(u);
}
void dfs1(int u, int dp) {
siz[u] = 1, dep[u] = dp;
for (int v : to[u]) if (v != fa[u]) {
fa[v] = u, dfs1(v, dp + 1);
if (!son[u] || siz[v] > siz[son[u]]) son[u] = v;
}
return;
}
void dfs2(int u, int tp) {
top[u] = tp, dfn[u] = ++nw, rnk[nw] = u;
if (son[u]) dfs2(son[u], tp);
else return;
for (int v : to[u]) if (v != fa[u] && v != son[u]) dfs2(v, v);
return;
}
vector<pii> qr(int u, int v) {
vector<pii> ans;
while (top[u] != top[v]) {
if (dep[top[u]] < dep[top[v]]) swap(u, v);
ans.emplace_back(dfn[top[u]], dfn[u]), u = fa[top[u]];
}
if (dep[u] < dep[v]) swap(u, v);
ans.emplace_back(dfn[v], dfn[u]);
return ans;
}
void solve() {
dfs1(1, 1), dfs2(1, 1);
}
} tr1, tr2;
ull a[N], k, add[B], ct[B], sm[B][B], bl[B], br[B], frm[N], ret[N];
// add是对整块的贡献,ret是散块对散块,ct是整块对散块
void init() {
for (int i = 1, x, y; i < n; ++i) scanf("%d%d", &x, &y), tr1.add(x, y);
for (int i = 1, x, y; i < n; ++i) scanf("%d%d", &x, &y), tr2.add(x, y);
tr1.solve(), tr2.solve();
for (int i = 1; i <= n; ++i) p[i] = tr2.dfn[tr1.rnk[i]], q[tr2.dfn[tr1.rnk[i]]] = i;
s = sqrt(n);
for (int i = 1, j = s; i <= n; i = j + 1, j = min(n, j + s)) {
bl[++t] = i, br[t] = j;
for (int k = i; k <= j; ++k) frm[k] = t;
}
for (int i = 1; i <= n; ++i) ++sm[frm[i]][frm[p[i]]];
for (int i = 1; i <= t; ++i) for (int j = 1; j <= t; ++j) sm[j][i] += sm[j - 1][i];
for (int i = 1; i <= n; ++i) ret[tr2.dfn[i]] = a[i], add[frm[tr2.dfn[i]]] += a[i];
return;
}
void modify(int l, int r, ull x) {
if (frm[l] == frm[r]) {
for (int i = l; i <= r; ++i) ret[p[i]] += x, add[frm[p[i]]] += x;
return;
}
int L = frm[l], R = frm[r];
for (int i = l; i <= br[L]; ++i) ret[p[i]] += x, add[frm[p[i]]] += x;
for (int i = bl[R]; i <= r; ++i) ret[p[i]] += x, add[frm[p[i]]] += x;
for (int i = L + 1; i < R; ++i) ct[i] += x;
for (int i = 1; i <= t; ++i) add[i] += (sm[R - 1][i] - sm[L][i]) * x;
return;
}
ull query(int l, int r) {
ull ans = 0;
if (frm[l] == frm[r]) {
for (int i = l; i <= r; ++i) ans += ret[i] + ct[frm[q[i]]];
return ans;
}
int L = frm[l], R = frm[r];
for (int i = l; i <= br[L]; ++i) ans += ret[i] + ct[frm[q[i]]];
for (int i = bl[R]; i <= r; ++i) ans += ret[i] + ct[frm[q[i]]];
for (int i = L + 1; i < R; ++i) ans += add[i];
return ans;
}
void solve(int x, int y, ull k) {
vector<pii> o = tr1.qr(x, y);
for (pii r : o) modify(r.first, r.second, k);
ull ans = 0;
o = tr2.qr(x, y);
for (pii r : o) ans += query(r.first, r.second);
printf("%llu\n", ans);
return;
}
int main() {
int tm1 = clock();
scanf("%d%d", &n, &m);
for (int i = 1; i <= n; ++i) scanf("%llu", a + i);
init();
for (int i = 1, x, y; i <= m; ++i) scanf("%d%d%llu", &x, &y, &k), solve(x, y, k);
cerr << "use " << (clock() - tm1) << " ms\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 4ms
memory: 30728kb
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: 11ms
memory: 26600kb
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: 18ms
memory: 28948kb
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: 13ms
memory: 30800kb
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: 12ms
memory: 30864kb
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: 6ms
memory: 28480kb
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: 445ms
memory: 35568kb
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: 5438ms
memory: 37660kb
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: 5063ms
memory: 36276kb
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: 0
Time Limit Exceeded
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:
Subtask #3:
score: 0
Skipped
Dependency #2:
0%
Subtask #4:
score: 0
Time Limit Exceeded
Test #21:
score: 14
Accepted
time: 2508ms
memory: 45184kb
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: 0
Time Limit Exceeded
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:
Subtask #5:
score: 17
Accepted
Test #27:
score: 17
Accepted
time: 1052ms
memory: 50800kb
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:
ok 200000 lines
Test #28:
score: 17
Accepted
time: 916ms
memory: 52404kb
input:
200000 200000 16779443803326674772 15639579352489825289 13969981610137062426 16505376510381344640 9806280160602498118 1419045977670621133 7677707894082613460 11957033082833096140 2771983498938827257 14706498164400422706 9378952791453329569 1930132295950861416 16111764090559108273 8905137311835789422...
output:
16293566981830212911 10264859857591337484 8994663676867609646 2754771179506593788 4767946170760042771 742819530451319825 2803285017809086810 3484130454853725644 7697600623078121691 5084812233611883732 3280787561128521192 1047502191383912852 14082348302073768112 2601331176748190671 117450452631909696...
result:
ok 200000 lines
Test #29:
score: 17
Accepted
time: 708ms
memory: 51676kb
input:
200000 200000 12029385893748061284 9172822681287286332 11779114870282057106 4849897936395853889 6103529715098530443 8797239236736271231 11618134370305604768 10908476427113524251 3933201111692274240 4499796948331538987 4232975400910660164 10415557794345312125 17360908993089799508 13708880030692860522...
output:
13101691483811142037 7858940297704268921 9131311782659594969 3979986497647305855 131040009215643795 10080455913202724993 13237896591702170157 4007300413168456185 10099014266690222675 16590528230541839393 10133194446659869919 16360073169922464941 15194261798246191631 5464643399868946391 1634883990603...
result:
ok 200000 lines
Test #30:
score: 17
Accepted
time: 1041ms
memory: 51376kb
input:
200000 200000 12279899037614140058 8888114948527866653 13928233147675322734 12454101025136386040 5288759580423671283 8776652717163613021 16449880332412915864 17287034922899709125 10532733829212727135 10764189288575553991 13953267646406847995 13908054688602304211 5827028562849173311 10886964702131020...
output:
16698510136139978210 16369094547606910925 1326550504815919356 15571631364851754526 15142726028067532669 16433307477502505346 2288796203808772846 14834334808701484355 11332372387379739662 16882038025761766711 15880577744881855798 3482331692875200083 3909893051643604341 17525221195783380334 1592129559...
result:
ok 200000 lines
Test #31:
score: 17
Accepted
time: 634ms
memory: 51112kb
input:
200000 200000 4893160298280825903 18198846065921817748 16343447781007974282 15723743432312964985 12871862738540236681 9972578954818260019 125153552836276808 5361924347833293579 11971958522882153451 6606998668153528639 9846700557419796517 924197471899377062 16510652970019285610 13527675083280389351 1...
output:
12217733345977585604 15090345895939064308 8800682550100929240 8418299123801754016 9906718252280231096 3019478245971491784 9496949828298647194 17471225676572414614 11441204915622920024 5759065639620250580 3072007946120216696 17839333347550122908 11855291417460815970 1574976372415972484 15048267748478...
result:
ok 200000 lines
Test #32:
score: 17
Accepted
time: 876ms
memory: 50824kb
input:
200000 200000 16269080113100378653 4484500057558985491 3155111047194780915 1955124878557628793 1131676785723263995 15670458790089679131 12642775067469645913 16058994799171671871 11128893081798077921 17630174838696618160 10509057764997030178 2736352128209806460 11214180975026520052 990613932293281058...
output:
12064924625133015846 16862321744372560028 1994646811747150992 10140722851099240116 2557503422311666754 15259878734280971978 3955576474907811510 3673505041702176640 7400377071018962046 12622228824601464114 10514727287268994992 17046945994663165568 3131278608817391298 7110396577833899144 2955850235837...
result:
ok 200000 lines
Test #33:
score: 17
Accepted
time: 1055ms
memory: 51244kb
input:
200000 200000 7793598924465250299 11320616179551810509 4514956344247028440 13595219380199005841 9022300443122747211 5306720789215014051 12829201090248291001 17484907120965865432 4426007998575926549 16938003364463208590 8456717373555158888 9856394533639307403 4263328592244098713 4497412961128822026 1...
output:
10753764993328700009 18007939111928197938 9749484091345535325 5504011101575545606 13062921586637652283 11960644823021452066 5934883515296641825 14816522537666728261 11155114586067595959 7338645965836498696 6416169899635462788 11575170211633743517 11478197945758314236 5225462134046697629 164046911152...
result:
ok 200000 lines
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%