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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 |
---|---|---|---|---|---|---|---|---|---|
#695898 | #9492. 树上简单求和 | peaneval_kala | 17 | 3901ms | 65816kb | C++23 | 11.4kb | 2024-10-31 21:01:08 | 2024-10-31 21:01:10 |
Judging History
answer
#pragma GCC optimize(3, "unroll-loops", "no-stack-protector")
#define atsum(l, r) accumulate(l, r, 0)
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/hash_policy.hpp>
using namespace std;
using ll = long long;
using ull = unsigned long long;
constexpr int inf = 0x3f3f3f3f;
constexpr ll INF = 0x3f3f3f3f3f3f3f3f;
template <typename T>
inline void chkmin(T &x, T y) { x = min(x, y); }
template <typename T>
inline void chkmax(T &x, T y) { x = max(x, y); }
namespace FastIO
{
// ------------------------------
#define IN_HAS_NEG
#define OUT_HAS_NEG
#define CHK_EOF
#define DISABLE_MMAP
// ------------------------------
#if __cplusplus < 201400
#error Please use C++14 or higher.
#endif
#if __cplusplus > 201700
#define INLINE_V inline
#else
#define INLINE_V
#endif
#if ( defined(LOCAL) || defined (_WIN32) ) && !defined(DISABLE_MMAP)
#define DISABLE_MMAP
#endif
#ifndef DISABLE_MMAP
#include<sys/mman.h>
#endif
#ifdef LOCAL
inline char gc() { return getchar(); }
inline void pc(char c) { putchar(c); }
#else
#ifdef DISABLE_MMAP
INLINE_V constexpr int _READ_SIZE = 1 << 18;
INLINE_V static char _read_buffer[_READ_SIZE], *_read_ptr = nullptr, *_read_ptr_end = nullptr;
inline char gc()
{
if ( __builtin_expect(_read_ptr == _read_ptr_end, false) )
{
_read_ptr = _read_buffer;
_read_ptr_end = _read_buffer + fread(_read_buffer, 1, _READ_SIZE, stdin);
#ifdef CHK_EOF
if ( __builtin_expect(_read_ptr == _read_ptr_end, false) ) return EOF;
#endif
}
return *_read_ptr++;
}
#else
INLINE_V static const char *_read_ptr = (const char *)mmap(nullptr, INT_MAX, 1, 2, 0, 0);
inline char gc() { return *_read_ptr++; }
#endif
INLINE_V constexpr int _WRITE_SIZE = 1 << 18;
INLINE_V static char _write_buffer[_WRITE_SIZE], *_write_ptr = _write_buffer;
inline void pc(char c)
{
*_write_ptr++ = c;
if ( __builtin_expect(_write_buffer + _WRITE_SIZE == _write_ptr, false) )
{
fwrite(_write_buffer, 1, _write_ptr - _write_buffer, stdout);
_write_ptr = _write_buffer;
}
}
INLINE_V struct _auto_flush
{
~_auto_flush() { fwrite(_write_buffer, 1, _write_ptr - _write_buffer, stdout); }
} _auto_flush;
#endif
#ifdef CHK_EOF
inline bool _isdigit(char c) { return ( c & 16 ) && c != EOF; }
inline bool _isgraph(char c) { return c > 32 && c != EOF; }
#else
inline bool _isdigit(char c) { return c & 16; }
inline bool _isgraph(char c) { return c > 32; }
#endif
template < class T >
INLINE_V constexpr bool _is_integer = numeric_limits < T >::is_integer;
template < class T >
INLINE_V constexpr bool _is_signed = numeric_limits < T >::is_signed;
template < class T >
INLINE_V constexpr bool _is_unsigned = _is_integer < T > && !_is_signed < T >;
template <> INLINE_V constexpr bool _is_integer < __int128 > = true;
template <> INLINE_V constexpr bool _is_integer < __uint128_t > = true;
template <> INLINE_V constexpr bool _is_signed < __int128 > = true;
template <> INLINE_V constexpr bool _is_unsigned < __uint128_t > = true;
#undef INLINE_V
inline void read(char &c) { do c = gc(); while ( !_isgraph(c) ); }
inline void read_cstr(char *s)
{
char c = gc(); while ( !_isgraph(c) ) c = gc();
while ( _isgraph(c) ) *s++ = c, c = gc();
*s = 0;
}
inline void read(string &s)
{
char c = gc(); s.clear(); while ( !_isgraph(c) ) c = gc();
while ( _isgraph(c) ) s.push_back(c), c = gc();
}
#ifdef IN_HAS_NEG
template < class T, enable_if_t < _is_signed < T >, int > = 0 >
inline void read(T &x)
{
char c = gc(); bool f = true; x = 0;
while ( !_isdigit(c) ) { if ( c == 45 ) f = false; c = gc(); }
if ( f ) while ( _isdigit(c) ) x = x * 10 + ( c & 15 ), c = gc();
else while ( _isdigit(c) ) x = x * 10 - ( c & 15 ), c = gc();
}
template < class T, enable_if_t < _is_unsigned < T >, int > = 0 >
#else
template < class T, enable_if_t < _is_integer < T >, int > = 0 >
#endif
inline void read(T &x)
{
char c = gc(); while ( !_isdigit(c) ) c = gc();
x = 0; while ( _isdigit(c) ) x = x * 10 + ( c & 15 ), c = gc();
}
inline void write(char c) { pc(c); }
inline void write_cstr(const char *s) { while ( *s ) pc(*s++); }
inline void write(const string &s) { for ( char c : s ) pc(c); }
#ifdef OUT_HAS_NEG
template < class T, enable_if_t < _is_signed < T >, int > = 0 >
inline void write(T x)
{
char buffer[numeric_limits < T >::digits10 + 1]; int digits = 0;
if ( x >= 0 ) do buffer[digits++] = ( x % 10 ) | 48, x /= 10; while ( x );
else { pc(45); do buffer[digits++] = -( x % 10 ) | 48, x /= 10; while ( x ); }
while ( digits ) pc(buffer[--digits]);
}
template < class T, enable_if_t < _is_unsigned < T >, int > = 0 >
#else
template < class T, enable_if_t < _is_integer < T >, int > = 0 >
#endif
inline void write(T x)
{
char buffer[numeric_limits < T >::digits10 + 1]; int digits = 0;
do buffer[digits++] = ( x % 10 ) | 48, x /= 10; while ( x );
while ( digits ) pc(buffer[--digits]);
}
template < int N > struct _tuple_io_helper
{
template < class ...T >
static inline void _read(tuple < T... > &x)
{ _tuple_io_helper < N - 1 >::_read(x), read(get < N - 1 > (x)); }
template < class ...T >
static inline void _write(const tuple < T... > &x)
{ _tuple_io_helper < N - 1 >::_write(x), pc(32), write(get < N - 1 > (x)); }
};
template <> struct _tuple_io_helper < 1 >
{
template < class ...T >
static inline void _read(tuple < T... > &x) { read(get < 0 > (x)); }
template < class ...T >
static inline void _write(const tuple < T... > &x) { write(get < 0 > (x)); }
};
template < class ...T >
inline void read(tuple < T... > &x) { _tuple_io_helper < sizeof...(T) >::_read(x); }
template < class ...T >
inline void write(const tuple < T... > &x) { _tuple_io_helper < sizeof...(T) >::_write(x); }
template < class T1, class T2 >
inline void read(pair < T1, T2 > &x) { read(x.first), read(x.second); }
template < class T1, class T2 >
inline void write(const pair < T1, T2 > &x) { write(x.first), pc(32), write(x.second); }
template < class T1, class ...T2 >
inline void read(T1 &x, T2 &...y) { read(x), read(y...); }
template < class ...T >
inline void read_cstr(char *x, T *...y) { read_cstr(x), read_cstr(y...); }
template < class T1, class ...T2 >
inline void write(const T1 &x, const T2 &...y) { write(x), write(y...); }
template < class ...T >
inline void write_cstr(const char *x, const T *...y) { write_cstr(x), write_cstr(y...); }
template < class T >
inline void print(const T &x) { write(x); }
inline void print_cstr(const char *x) { write_cstr(x); }
template < class T1, class ...T2 >
inline void print(const T1 &x, const T2 &...y) { print(x), pc(32), print(y...); }
template < class ...T >
inline void print_cstr(const char *x, const T *...y) { print_cstr(x), pc(32), print_cstr(y...); }
inline void println() { pc(10); }
inline void println_cstr() { pc(10); }
template < class ...T >
inline void println(const T &...x) { print(x...), pc(10); }
template < class ...T >
inline void println_cstr(const T *...x) { print_cstr(x...), pc(10); }
}
using namespace FastIO;
template <typename T>
inline void clear(T &x) {
T y;
swap(x, y);
}
const int N = 2e5 + 10, C = 35;
int n, m, cc;
ull a[N], ans[N];
struct Tree{
basic_string<int> vec[N];
int top[N], son[N], siz[N], dfn[N], dfncnt, fa[N], dep[N], id[N];
ull qwq[N];
void dfs(int u) {
qwq[u] += a[u];
siz[u] = 1;
for (int v : vec[u])
if (v != fa[u]) {
qwq[v] = qwq[u];
fa[v] = u, dep[v] = dep[u] + 1, dfs(v), siz[u] += siz[v];
if (siz[v] > siz[son[u]]) son[u] = v;
}
}
void dfs2(int u) {
id[dfn[u] = ++dfncnt] = u;
if (son[u]) top[son[u]] = top[u], dfs2(son[u]);
for (int v : vec[u])
if (v != fa[u] && v != son[u]) dfs2(top[v] = v);
}
inline int lca(int u, int v) {
while (top[u] != top[v]) dep[top[u]] > dep[top[v]] ? u = fa[top[u]] : v = fa[top[v]];
return dep[u] < dep[v] ? u : v;
}
inline int dist(int u, int v) { return dep[u] + dep[v] - 2 * dep[lca(u, v)]; }
inline ull val(int u, int v) { return qwq[u] + qwq[v] - qwq[lca(u, v)] - qwq[fa[lca(u, v)]]; }
} T1, T2;
int B;
int pos[N];
struct Block2 {
ull val[N], res[N];
inline void clr() { memset(val, 0, sizeof(val)), memset(res, 0, sizeof(res)); }
inline ull query(int c) { return val[c] + res[pos[c] - 1]; }
inline ull query(int l, int r) { return query(r) - query(l - 1); }
inline void update(int u, ull v) {
for (int c = pos[u]; c <= pos[n]; c++) res[c] += v;
for (int c = u; pos[c] == pos[u]; c++) val[c] += v;
}
} B2;
int type[N * C], ql[N * C], qr[N * C];
ull qaq[N * C];
inline void update(int u, int v, ull k) {
while (T1.top[u] != T1.top[v]) {
if (T1.dep[T1.top[u]] < T1.dep[T1.top[v]]) swap(u, v);
++cc, ql[cc] = T1.dfn[T1.top[u]], qr[cc] = T1.dfn[u], qaq[cc] = k, u = T1.fa[T1.top[u]];
}
if (T1.dfn[u] > T1.dfn[v]) swap(u, v);
++cc, ql[cc] = T1.dfn[u], qr[cc] = T1.dfn[v], qaq[cc] = k;
}
inline void query(int u, int v, int id) {
while (T2.top[u] != T2.top[v]) {
if (T2.dep[T2.top[u]] < T2.dep[T2.top[v]]) swap(u, v);
++cc, type[cc] = id, ql[cc] = T2.dfn[T2.top[u]], qr[cc] = T2.dfn[u], u = T2.fa[T2.top[u]];
}
if (T2.dfn[u] > T2.dfn[v]) swap(u, v);
++cc, ql[cc] = T2.dfn[u], qr[cc] = T2.dfn[v], type[cc] = id;
}
ull tag;
int cnt[N];
inline void solve(int L, int R) {
tag = 0;
B2.clr();
memset(cnt, 0, sizeof(cnt));
for (int i = L; i <= R; i++) ++cnt[T2.dfn[T1.id[i]]];
for (int i = 1; i <= n;i ++) cnt[i] += cnt[i - 1];
for (int i = 1; i <= cc; i++)
if (type[i]) {
ans[type[i]] += (cnt[qr[i]] - cnt[ql[i] - 1]) * tag;
ans[type[i]] += B2.query(ql[i], qr[i]);
} else {
if (L > qr[i] || R < ql[i]) continue;
if (L >= ql[i] && R <= qr[i]) tag += qaq[i];
else {
for (int c = max(L, ql[i]); c <= min(R, qr[i]); c++) B2.update(T2.dfn[T1.id[c]], qaq[i]);
}
}
}
int main() {
read(n, m);
B = sqrt(n);
for (int i = 1; i <= n; i++) read(a[i]), pos[i] = (i - 1) / B + 1;
for (int i = 1; i < n; i++) {
int u, v;
read(u, v), T1.vec[u].push_back(v), T1.vec[v].push_back(u);
}
for (int i = 1; i < n; i++) {
int u, v;
read(u, v), T2.vec[u].push_back(v), T2.vec[v].push_back(u);
}
T1.dfs(1), T2.dfs(1);
T1.dfs2(T1.top[1] = 1), T2.dfs2(T2.top[1] = 1);
for (int i = 1; i <= m; i++) {
int x, y;
ull k;
read(x, y, k);
ans[i] = T2.val(x, y);
update(x, y, k), query(x, y, i);
}
for (int l = 1, r; l <= n; l = r + 1) {
r = min(l + B - 1, n);
solve(l, r);
}
for (int i = 1; i <= m; i++) println(ans[i]);
return 0;
}
详细
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 23ms
memory: 39884kb
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: 22ms
memory: 39860kb
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: 19ms
memory: 39952kb
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: 19ms
memory: 41392kb
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: 23ms
memory: 42052kb
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: 12
Accepted
Dependency #1:
100%
Accepted
Test #6:
score: 12
Accepted
time: 0ms
memory: 39276kb
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: 3352ms
memory: 64844kb
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: 3163ms
memory: 65816kb
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: 2864ms
memory: 59592kb
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: 3699ms
memory: 53528kb
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: 12
Accepted
time: 2575ms
memory: 57112kb
input:
70000 70000 14167059704556856337 16190708842842354431 16763990539754009056 7631426709261583690 16701377874952853623 13128000186728267818 13668914249103068169 11444044591715948726 461080622438520919 15327533341012334586 15905150558482528923 18113008235210277231 18273290154232335325 871461822812191943...
output:
5416890687002400795 15434184693210288436 14994504916760087024 2057026449542829151 14782289435774270062 5375237679514404106 6242405047854012647 13176621545709355733 14860610197328732602 2320525143444929350 4955538191022622551 16072981679771537209 16493487770453132249 7457010288198365370 1095949888193...
result:
ok 70000 lines
Test #12:
score: 12
Accepted
time: 3523ms
memory: 53504kb
input:
70000 70000 6512290618577097706 2307104154841663907 18099814251235047570 8297332016606109910 6979819983598849680 18022671181330012408 7003320957516774041 10765303713874539785 15263207007138552812 11713955610641877995 9084887894280210904 3653718255996209121 14197591595561260765 2937670413926210256 43...
output:
5372775214253596890 927985558228810546 3829815088328182672 17496384540548895622 2541458359607440535 9685902106698191409 13649653134779075960 2952563488513208867 3457470079648848247 11542323450217419837 6576344363223624061 12316990756988470568 17923006133291073450 13069551524451668138 648013229980407...
result:
ok 70000 lines
Test #13:
score: 12
Accepted
time: 3901ms
memory: 52700kb
input:
70000 70000 13665984219894847790 9458613748861462697 7467746948118990839 10855454155004540952 10025433108785732161 15816172836312183738 2834129139700401667 221649423184372325 8409217794427284711 16119623676185869010 12488380095384700010 3049877130176336551 5805665682633632307 13224802542929355280 18...
output:
7934210059911784858 14305091721658406168 5803801684631217062 8806866881905382618 14997911434771439753 7006465422324293550 15394754861139766679 8377831978907312075 12227086919743533414 8784212755151945751 17039860679476902214 6474495685436520748 11136139762939837997 16869294577244011226 1164744311638...
result:
ok 70000 lines
Subtask #3:
score: 0
Time Limit Exceeded
Dependency #2:
100%
Accepted
Test #14:
score: 0
Time Limit Exceeded
input:
120000 120000 4056283459929576306 2264755903151268173 1157390036441353969 5734735320959854923 6025999163810189446 3972481234804681969 4746636248696530169 6716674455256322787 6407347371842702902 7463142557880503801 208361219405474896 512530621977574257 6488145455921761864 6595856237657889728 95997703...
output:
result:
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:
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:
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:
100%
Accepted
Dependency #3:
0%