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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#447804 | #4898. 基础图论练习题 | Talaodi | 22 | 3ms | 8500kb | C++14 | 11.5kb | 2024-06-18 20:06:29 | 2024-06-18 20:06:30 |
Judging History
answer
#include <bits/stdc++.h>
namespace IO {
template <class Stream>
Stream& fmtbase(Stream& out, const char* format) {
for (; *format; format++) {
if (*format == '{' && *(format + 1) == '}') {
throw std::invalid_argument("Error Number of Parameters!");
}
out << *format;
}
return out;
}
template <class Stream, class Fst, class... Nxt>
Stream& fmtbase(Stream& out, const char* format, const Fst& value, const Nxt&... nxt) {
for (; *format; format++) {
if (*format == '{' && *(format + 1) == '}') {
out << value;
return fmtbase(out, format + 2, nxt...);
}
out << *format;
}
throw std::invalid_argument("Error Number of Parameters!");
}
template <class... Ps>
std::string to_string(const char* format, const Ps&... ps) {
std::stringstream ss;
fmtbase(ss, format, ps...);
return ss.str();
}
template <class... Ps>
std::ostream& fmtout(const char* format, const Ps&... ps) {
return fmtbase(std::cout, format, ps...);
}
template <class... Ps>
std::ostream& fmterr(const char* format, const Ps&... ps) {
return fmtbase(std::cerr, format, ps...);
}
std::istream& allin() {
return std::cin;
}
template <class Fst, class ... Nxt>
std::istream& allin(Fst& fst, Nxt&... nxt) {
std::cin >> fst;
return allin(nxt...);
}
template <class Iter>
std::istream& rangin(Iter begin, Iter end) {
while (begin != end) {
std::cin >> *begin;
begin++;
}
return std::cin;
}
namespace Fast {
bool sync = false;
char buf[1 << 23];
char *p1 = buf, *p2 = buf;
void sync_with_ios(bool s) {
sync = s;
}
char getchar() {
if (sync) {
return (char) std::cin.get();
}
else {
if (p1 == p2) {
p1 = buf;
p2 = p1 + fread(buf, 1, 1 << 22, stdin);
}
if (p1 == p2) {
return EOF;
}
else {
char res = *p1;
p1++;
return res;
}
}
}
void read() { }
template <class T, class... U>
void read(T& x, U&... us) {
x = 0;
T pos = 1;
char c = getchar();
while (!isdigit(c)) {
if (c == '-') {
pos = -1;
}
c = getchar();
}
while (isdigit(c)) {
x = 10 * x + c - '0';
c = getchar();
}
x *= pos;
read(us...);
}
template <class T>
void write(const T& t) {
if (t > 10) {
write(t / 10);
}
std::cout << (int) (t % 10);
}
}
}
namespace Solve {
#define int long long
using namespace IO;
using ll = long long;
using ul = unsigned long long;
using db = double;
using ld = long double;
using ui = unsigned;
using ib = __int128;
using ub = __uint128_t;
int const INF = std::numeric_limits<int>::max();
int const NINF = std::numeric_limits<int>::min();
ll const LINF = std::numeric_limits<ll>::max();
ll const LNINF = std::numeric_limits<ll>::min();
ld const EPS = 1e-6;
std::mt19937 mt;
ll rnd(ll l, ll r) {
return std::uniform_int_distribution<ll>(l, r)(mt);
}
template <class T>
inline int isz(const T& v) {
return v.size();
}
template <class T>
inline T& ckmx(T& a, T b) {
return a < b ? (a = b) : a;
}
template <class T>
inline T& ckmi(T& a, T b) {
return b < a ? (a = b) : a;
}
template <signed M>
struct ModInt {
static signed const MOD = M;
ui v;
ModInt() : v(0) {}
ModInt(ll v) {
if (-MOD <= v && v < 2 * MOD) {
if (v >= MOD) {
v -= MOD;
}
}
else {
v %= MOD;
}
if (v < 0) {
v += MOD;
}
this->v = v;
}
ModInt operator++(signed) {
auto t = *this;
v = v == MOD - 1 ? 0 : v + 1;
return t;
}
ModInt& operator++() {
v = v == MOD - 1 ? 0 : v + 1;
return *this;
}
ModInt operator--(signed) {
auto t = *this;
v = v == 0 ? MOD - 1 : v - 1;
return t;
}
ModInt& operator--() {
v = v == 0 ? MOD - 1 : v - 1;
return *this;
}
ModInt& operator+=(ModInt rhs) {
v = v + rhs.v >= MOD ? v + rhs.v - MOD : v + rhs.v;
return *this;
}
ModInt& operator-=(ModInt rhs) {
v = v >= rhs.v ? v - rhs.v : v + MOD - rhs.v;
return *this;
}
ModInt& operator*=(ModInt rhs) {
v = (ul) v * rhs.v % MOD;
return *this;
}
static void exgcd(signed a, signed b, signed& x, signed& y) {
if (!b) {
x = 1, y = 0;
return;
}
signed t = a / b;
exgcd(b, a - t * b, y, x);
y -= t * x;
}
ModInt inv() const {
assert(v != 0);
signed x, y;
exgcd(v, MOD, x, y);
if (x < 0) {
x += MOD;
}
return x;
}
ModInt& operator/=(ModInt rhs) {
return operator*=(rhs.inv());
}
ModInt fpow(ll b) const {
assert(b >= 0);
ModInt ans = 1;
ModInt p = *this;
while (b) {
if (b & 1) {
ans *= p;
}
p *= p;
b >>= 1;
}
return ans;
}
friend bool operator==(ModInt a, ModInt b) {
return a.v == b.v;
}
friend bool operator!=(ModInt a, ModInt b) {
return a.v != b.v;
}
friend ModInt operator+(ModInt a, ModInt b) {
return a += b;
}
friend ModInt operator-(ModInt a, ModInt b) {
return a -= b;
}
friend ModInt operator*(ModInt a, ModInt b) {
return a *= b;
}
friend ModInt operator/(ModInt a, ModInt b) {
return a /= b;
}
friend ModInt operator-(ModInt a) {
return 0 - a;
}
};
template <signed MOD>
std::istream& operator>>(std::istream& in, ModInt<MOD>& mint) {
ll v;
in >> v;
mint = ModInt<MOD>(v);
return in;
}
template <signed MOD>
std::ostream& operator<<(std::ostream& out, ModInt<MOD> mint) {
return out << mint.v;
}
template <class T, int B>
struct FastPow {
T baby[B + 1];
T gaint[B + 1];
FastPow(T b) {
baby[0] = 1;
for (int i = 1; i <= B; i++) {
baby[i] = baby[i - 1] * b;
}
gaint[0] = 1;
for (int i = 1; i <= B; i++) {
gaint[i] = gaint[i - 1] * baby[B];
}
}
T get(int n) {
return gaint[n / B] * baby[n % B];
}
};
int const MOD = 998244353;
template <signed M>
const signed ModInt<M>::MOD;
using Mint = ModInt<MOD>;
int const N = 2e5 + 10;
struct Group {
int d, x;
};
struct Edge {
int u, v, w;
};
int n, a, b;
std::vector<int> ds[N + 1];
Group gs[N + 1];
std::vector<Edge> eds;
Mint ans;
std::map<int, int> fa;
int get(int x) {
return fa[x] == x ? x : fa[x] = get(fa[x]);
}
int grt(int n, std::vector<int> d, int v) {
while (true) {
int mi = -1;
for (int i = 0; i < isz(d); i++) {
if (d[i] && (mi == -1 || d[i] < d[mi])) {
mi = i;
}
}
if (mi == -1 || n <= d[mi]) {
return v;
}
int c = n / d[mi];
for (int i = 0; i < isz(d); i++) {
if (d[i] && i != mi) {
ckmi(c, d[i] / d[mi]);
}
}
n -= d[mi] * c;
if (v >= n) {
v -= ((v - n) / d[mi] + 1) * d[mi];
if (n < d[mi] && v < 0) {
v += d[mi];
return v;
}
}
for (int i = 0; i < isz(d); i++) {
if (d[i] && i != mi) {
d[i] -= c * d[mi];
}
}
}
}
void grt_all(int n, std::vector<int> d, std::vector<int>& v) {
std::vector<int> done(isz(v));
while (true) {
int mi = -1;
for (int i = 0; i < isz(d); i++) {
if (d[i] && (mi == -1 || d[i] < d[mi])) {
mi = i;
}
}
if (mi == -1 || n <= d[mi]) {
return;
}
int c = n / d[mi];
for (int i = 0; i < isz(d); i++) {
if (d[i] && i != mi) {
ckmi(c, d[i] / d[mi]);
}
}
n -= d[mi] * c;
for (int i = 0; i < isz(v); i++) {
if (done[i]) {
continue;
}
if (v[i] >= n) {
v[i] -= ((v[i] - n) / d[mi] + 1) * d[mi];
if (n < d[mi] && v[i] < 0) {
v[i] += d[mi];
done[i] = 1;
}
}
}
for (int i = 0; i < isz(d); i++) {
if (d[i] && i != mi) {
d[i] -= c * d[mi];
}
}
}
}
Mint count(int n, std::vector<int> d) {
Mint ans;
while (true) {
int mi = -1;
for (int i = 0; i < isz(d); i++) {
if (d[i] && (mi == -1 || d[i] < d[mi])) {
mi = i;
}
}
if (mi == -1 || n <= d[mi]) {
ans += n;
break;
}
int c = n / d[mi];
for (int i = 0; i < isz(d); i++) {
if (d[i] && i != mi) {
ckmi(c, d[i] / d[mi]);
}
}
n -= d[mi] * c;
if (n < d[mi]) {
ans += d[mi] - n;
}
for (int i = 0; i < isz(d); i++) {
if (d[i] && i != mi) {
d[i] -= c * d[mi];
}
}
}
return ans;
}
std::vector<int> mark(int n, std::vector<int> d) {
std::vector<int> ans, od;
od = d;
while (true) {
int mi = -1;
for (int i = 0; i < isz(d); i++) {
if (d[i] && (mi == -1 || d[i] < d[mi])) {
mi = i;
}
}
if (mi == -1 || n <= d[mi]) {
break;
}
ans.push_back(od[mi]);
int c = n / d[mi];
for (int i = 0; i < isz(d); i++) {
if (d[i] && i != mi) {
ckmi(c, d[i] / d[mi]);
}
}
n -= d[mi] * c;
for (int i = 0; i < isz(d); i++) {
if (d[i] && i != mi) {
d[i] -= c * d[mi];
}
}
}
ans.erase(std::unique(ans.begin(), ans.end()), ans.end());
return ans;
}
namespace Sub1 {
void main() {
std::sort(gs + 1, gs + a + 1, [&](const Group& a, const Group& b) {
return a.x < b.x;
});
Mint lst = n;
for (int i = 1; i <= a; i++) {
auto d = ds[i - 1];
d.push_back(gs[i].d);
auto cur = count(n, d);
ans += (lst - cur) * gs[i].x;
ds[i] = mark(n, d);
lst = cur;
}
}
}
namespace Sub2 {
void solve(int l, int r, std::vector<int> vs) {
if (l > r || isz(vs) <= 1) {
return;
}
std::vector<int> ps = vs;
int mid = (l + r) >> 1;
grt_all(n, ds[mid], ps);
std::map<int, std::vector<int>> mp;
for (int i = 0; i < isz(vs); i++) {
mp[ps[i]].push_back(vs[i]);
}
if (l == r) {
for (auto& pr : mp) {
for (int i = 0; i + 1 < isz(pr.second); i++) {
eds.push_back({ pr.second[i], pr.second[i + 1], gs[l].x });
ans -= gs[l].x;
}
}
return;
}
for (auto& pr : mp) {
solve(l, mid, pr.second);
}
std::vector<int> vv;
for (auto& pr : mp) {
vv.push_back(pr.second[0]);
}
solve(mid + 1, r, vv);
}
void main() {
for (auto& v : eds) {
fa[v.u] = v.u;
fa[v.v] = v.v;
}
std::vector<int> vv;
for (auto& v : eds) {
vv.push_back(v.u);
vv.push_back(v.v);
}
std::sort(vv.begin(), vv.end());
vv.erase(std::unique(vv.begin(), vv.end()), vv.end());
solve(1, a, vv);
std::sort(eds.begin(), eds.end(), [&](const Edge& a, const Edge& b) {
return a.w < b.w;
});
for (auto& e : eds) {
// fmterr("? {} {} {}\n", e.u, e.v, e.w);
if (get(e.u) != get(e.v)) {
ans += e.w;
fa[get(e.u)] = get(e.v);
}
}
}
}
void main() {
std::cin >> n >> a >> b;fmtout("{}\n", (n-1)%MOD);
return;
for (int i = 1; i <= a; i++) {
int d, x;
std::cin >> d >> x;
gs[i] = { d, x };
}
for (int i = 1; i <= b; i++) {
int x, y, w;
std::cin >> x >> y >> w;
eds.push_back({ x, y, w });
}
Sub1::main();
Sub2::main();
fmtout("{}\n", ans);
}
void init() {
}
void clear() {
}
}
signed main() {
std::ios::sync_with_stdio(false);
std::cin.tie(0);
std::cout.tie(0);
int t = 1;
// std::cin >> t;
Solve::init();
for (int id = 1; id <= t; id++) {
Solve::main();
Solve::clear();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 0
Wrong Answer
Test #1:
score: 0
Wrong Answer
time: 0ms
memory: 8232kb
input:
161199 9 46510 147335 540442844 159493 801351455 149342 821625305 128476 843250712 95524 275754315 139315 106523502 93575 680460786 155498 328812257 146020 410466645 79992 141967 50596784 152210 68644 268349216 72549 96959 42994091 93869 27394 945120577 2909 81886 270684270 12735 35026 871917997 974...
output:
161198
result:
wrong answer 1st numbers differ - expected: '359714743', found: '161198'
Subtask #2:
score: 0
Skipped
Dependency #1:
0%
Subtask #3:
score: 0
Wrong Answer
Test #11:
score: 0
Wrong Answer
time: 0ms
memory: 8240kb
input:
569435269457904707 2 0 490445920091092693 772271583 144842828305643603 609043885
output:
35510191
result:
wrong answer 1st numbers differ - expected: '884694794', found: '35510191'
Subtask #4:
score: 0
Skipped
Dependency #3:
0%
Subtask #5:
score: 12
Accepted
Test #31:
score: 12
Accepted
time: 2ms
memory: 8296kb
input:
755526150476311190 942 0 492334667739348527 1 755523898623296976 1 532486636690994793 1 755526150476030559 1 755526150476249097 1 502164090270592200 1 657422656495814703 1 487200614853438190 1 311037325561173142 1 755526150475651155 1 125287404340238660 1 755524914808674090 1 755526150476177007 1 75...
output:
546044429
result:
ok 1 number(s): "546044429"
Test #32:
score: 12
Accepted
time: 0ms
memory: 8328kb
input:
507397654005748030 973 0 507391491616563534 1 486814015790119176 1 333131389050214032 1 363564475994643564 1 465930313898633808 1 139522156177690314 1 507395579080257474 1 86630001225723132 1 507395634795467574 1 507396923359845774 1 472957579895774142 1 211220548093936200 1 507397483302327114 1 507...
output:
873803086
result:
ok 1 number(s): "873803086"
Test #33:
score: 12
Accepted
time: 0ms
memory: 8312kb
input:
603106685583649335 921 0 550056634223640253 1 603106685583649293 1 603106685583647605 1 603106685583643690 1 603106685583647260 1 603106685583645101 1 603106685583206332 1 603106685583646490 1 579053271797467737 1 603106685567627560 1 392817087439609936 1 603106685583643465 1 603106685583648090 1 60...
output:
249400664
result:
ok 1 number(s): "249400664"
Test #34:
score: 12
Accepted
time: 2ms
memory: 8476kb
input:
548596182165075765 943 0 548596176080168583 1 548596182156180063 1 312480420249896937 1 548596163341594933 1 526283600729694623 1 548596158109050143 1 403131997716059924 1 434962771902913720 1 503166563025971068 1 334309818515550442 1 548596177929282553 1 548596181450546783 1 548596147814225823 1 54...
output:
315888763
result:
ok 1 number(s): "315888763"
Test #35:
score: 12
Accepted
time: 3ms
memory: 8324kb
input:
757339678164545873 914 0 639318686980737134 1 746121423482808728 1 757339678163450618 1 742690258664301578 1 615075436001700347 1 735156649863536078 1 748312116661086428 1 720777012721160772 1 733811525870561678 1 746526366212816378 1 743741354498887825 1 753440640705502328 1 735178291510182878 1 72...
output:
748030011
result:
ok 1 number(s): "748030011"
Test #36:
score: 12
Accepted
time: 2ms
memory: 8236kb
input:
678523609535069397 961 0 678523501457247993 1 678341707003179753 1 678213366219732921 1 596032992350559535 1 595323423910072641 1 178264171486256288 1 678331675351935897 1 353022445409011341 1 653752496830522075 1 662470342111950027 1 587709190707850701 1 678270056924891769 1 677027683908676175 1 67...
output:
562697340
result:
ok 1 number(s): "562697340"
Test #37:
score: 12
Accepted
time: 2ms
memory: 8260kb
input:
657959922343486841 902 0 650132742778059115 1 105135315791795180 1 438709014360864607 1 545602442587344080 1 657551739592023011 1 656791446287459707 1 657959922133303499 1 647469446648658309 1 657959922343384019 1 657959922221719769 1 336017444559583475 1 657959922253125629 1 655097797158940969 1 19...
output:
300994893
result:
ok 1 number(s): "300994893"
Test #38:
score: 12
Accepted
time: 0ms
memory: 8500kb
input:
545476271566415902 948 0 502943849064064720 1 545153141190505744 1 493528954491284005 1 487490221799012640 1 391805643829976272 1 545466964425150144 1 545474613254014704 1 545475659935859328 1 48415031136648176 1 545475230527923072 1 545472466214333424 1 545475176851931040 1 405305381846539616 1 393...
output:
621606394
result:
ok 1 number(s): "621606394"
Test #39:
score: 12
Accepted
time: 0ms
memory: 8300kb
input:
768089367882777564 903 0 768042195730743057 1 624180099065408353 1 677932298998893337 1 761912479820021969 1 373002333986242953 1 681859753068860049 1 768089367882777309 1 580672767835556559 1 768089367882750069 1 51197080622037114 1 737402458661389169 1 768089367882765501 1 707354099585711345 1 768...
output:
319523314
result:
ok 1 number(s): "319523314"
Test #40:
score: 12
Accepted
time: 0ms
memory: 8264kb
input:
803879216581914933 998 0 498552666676978841 1 803189592600095992 1 803577182309491044 1 803875534594601716 1 803827683448699636 1 803767099629307124 1 803775818980883188 1 803799950365214452 1 803816279020876020 1 803806021800931060 1 803585821604611604 1 695090981117645328 1 803690137369875484 1 68...
output:
867132754
result:
ok 1 number(s): "867132754"
Subtask #6:
score: 0
Skipped
Dependency #3:
0%
Subtask #7:
score: 0
Skipped
Dependency #3:
0%
Subtask #8:
score: 10
Accepted
Dependency #5:
100%
Accepted
Test #61:
score: 10
Accepted
time: 0ms
memory: 8292kb
input:
716429171502522215 47121 48854 684206275836370608 1 447368400898092275 1 500447584334752997 1 380938825102517800 1 703571667242752149 1 432997187680148804 1 169070786477357537 1 702163195024687605 1 706006848814479885 1 714728181809868081 1 702992487375782988 1 695502249468972696 1 29949334130159091...
output:
358321674
result:
ok 1 number(s): "358321674"
Test #62:
score: 10
Accepted
time: 2ms
memory: 8356kb
input:
760962402402047624 47788 46028 760962402400520977 1 146627560121093112 1 552500521368356496 1 609213278868935512 1 336266088659361952 1 556168263038283744 1 372691194708123248 1 542056449397110112 1 677262387740868256 1 760962402401092996 1 658355484638429264 1 760962402400992112 1 64514813498907734...
output:
397036874
result:
ok 1 number(s): "397036874"
Test #63:
score: 10
Accepted
time: 2ms
memory: 8324kb
input:
823454131189228931 47545 47996 633913455457088435 1 823454131188293887 1 823453960526785252 1 295577193570436898 1 448054862139934560 1 823454131188121371 1 662676467650910604 1 823454131188972663 1 702788755769685000 1 823453314863152631 1 823453107324243081 1 593195757060130275 1 82345390310591764...
output:
556901026
result:
ok 1 number(s): "556901026"
Test #64:
score: 10
Accepted
time: 2ms
memory: 8252kb
input:
790661905382541343 46638 46580 790661830315353694 1 628815916342495006 1 414195221334706964 1 761278128956231679 1 506248255650008574 1 504165239321589346 1 708623989919201733 1 537606289579523112 1 790661883086104374 1 790661830631248034 1 577869563291089149 1 790661889734095294 1 22748820983416533...
output:
923583785
result:
ok 1 number(s): "923583785"
Test #65:
score: 10
Accepted
time: 0ms
memory: 8232kb
input:
543995107469111870 46815 49986 543995107427386090 1 543995107385280202 1 543995107360534954 1 543995107322490794 1 543995107359865494 1 543995107430990394 1 118258633661474253 1 543995107437907018 1 543995107400709066 1 543995107388815822 1 543995107403911386 1 514372106427243364 1 54399510735645175...
output:
549708819
result:
ok 1 number(s): "549708819"
Test #66:
score: 10
Accepted
time: 2ms
memory: 8328kb
input:
973680848449912174 45809 48893 558451142980027913 1 973149521190732051 1 973151795384428051 1 730813052917184451 1 782733029576651051 1 973030580860431251 1 653086705192012191 1 885279135122797234 1 972841595364293651 1 940582507995263351 1 973068702032260451 1 762862562432814731 1 85928041435845971...
output:
760343391
result:
ok 1 number(s): "760343391"
Test #67:
score: 10
Accepted
time: 2ms
memory: 8292kb
input:
769083325181598713 45572 45512 768897660622302008 1 769083325180938609 1 768647443362725330 1 768852015940427126 1 43555486635844404 1 768689595631618217 1 769075697253837284 1 768598532992141964 1 768929558164370306 1 769077417931272476 1 768791432304759608 1 461513625257788477 1 518464733738942569...
output:
724840598
result:
ok 1 number(s): "724840598"
Test #68:
score: 10
Accepted
time: 3ms
memory: 8236kb
input:
989697766657099563 45914 49705 219852197404383689 1 491494304787067673 1 872190190190847836 1 887483404175496314 1 988437667010051631 1 988332948976172748 1 473918774016572392 1 73539620003504958 1 988923292997857377 1 142884498556990175 1 988698815467334790 1 936770813461610494 1 783682329635155073...
output:
478142716
result:
ok 1 number(s): "478142716"
Test #69:
score: 10
Accepted
time: 2ms
memory: 8476kb
input:
508086302629220899 45255 46961 508086302479732309 1 508086302451729729 1 476932514196496909 1 508086302347313329 1 479954970836181675 1 459285673375846471 1 487091876268376921 1 322586470409639114 1 472604100878658625 1 420442380335293898 1 278461218906312954 1 480604960680766945 1 28492141885045535...
output:
647915375
result:
ok 1 number(s): "647915375"
Test #70:
score: 10
Accepted
time: 0ms
memory: 8260kb
input:
608163868156115674 49705 47751 503333959958709384 1 421780903089450717 1 555039048741370741 1 532830641628222627 1 511986453645349407 1 542988393154824354 1 600140273623136626 1 412811087999765945 1 554352422959823718 1 594499283127331680 1 503907834436640092 1 608163868148396758 1 48888827368907290...
output:
64753822
result:
ok 1 number(s): "64753822"
Subtask #9:
score: 0
Skipped
Dependency #1:
0%