QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#248348 | #7623. Coloring Tape | ucup-team159# | AC ✓ | 221ms | 9516kb | C++23 | 6.4kb | 2023-11-11 18:34:53 | 2023-11-12 17:58:04 |
Judging History
answer
// #pragma GCC target("avx,avx2")
// #pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
#define rep(i,n) for(int i=0;i<int(n);i++)
#define rep1(i,n) for(int i=1;i<=int(n);i++)
#define per(i,n) for(int i=int(n)-1;i>=0;i--)
#define per1(i,n) for(int i=int(n);i>0;i--)
#define all(c) c.begin(),c.end()
#define si(x) int(x.size())
#define pb push_back
#define eb emplace_back
#define fs first
#define sc second
template<class T> using V = vector<T>;
template<class T> using VV = vector<vector<T>>;
template<class T,class U> bool chmax(T& x, U y){
if(x<y){ x=y; return true; }
return false;
}
template<class T,class U> bool chmin(T& x, U y){
if(y<x){ x=y; return true; }
return false;
}
template<class T> void mkuni(V<T>& v){sort(all(v));v.erase(unique(all(v)),v.end());}
template<class T> int lwb(const V<T>& v, const T& a){return lower_bound(all(v),a) - v.begin();}
template<class T>
V<T> Vec(size_t a) {
return V<T>(a);
}
template<class T, class... Ts>
auto Vec(size_t a, Ts... ts) {
return V<decltype(Vec<T>(ts...))>(a, Vec<T>(ts...));
}
template<class S,class T> ostream& operator<<(ostream& o,const pair<S,T> &p){
return o<<"("<<p.fs<<","<<p.sc<<")";
}
template<class T> ostream& operator<<(ostream& o,const vector<T> &vc){
o<<"{";
for(const T& v:vc) o<<v<<",";
o<<"}";
return o;
}
constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n-1); }
#ifdef LOCAL
#define show(x) cerr << "LINE" << __LINE__ << " : " << #x << " = " << (x) << endl
void dmpr(ostream& os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
os<<t<<" ~ ";
dmpr(os,args...);
}
#define shows(...) cerr << "LINE" << __LINE__ << " : ";dmpr(cerr,##__VA_ARGS__)
#define dump(x) cerr << "LINE" << __LINE__ << " : " << #x << " = {"; \
for(auto v: x) cerr << v << ","; cerr << "}" << endl;
#else
#define show(x) void(0)
#define dump(x) void(0)
#define shows(...) void(0)
#endif
template<class D> D divFloor(D a, D b){
return a / b - (((a ^ b) < 0 && a % b != 0) ? 1 : 0);
}
template<class D> D divCeil(D a, D b) {
return a / b + (((a ^ b) > 0 && a % b != 0) ? 1 : 0);
}
bool B(int x,int i){return (x>>i)&1;}
using P = pair<int,int>;
template<unsigned int mod_>
struct ModInt{
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
constexpr static uint mod = mod_;
uint v;
ModInt():v(0){}
ModInt(ll _v):v(normS(_v%mod+mod)){}
explicit operator bool() const {return v!=0;}
static uint normS(const uint &x){return (x<mod)?x:x-mod;} // [0 , 2*mod-1] -> [0 , mod-1]
static ModInt make(const uint &x){ModInt m; m.v=x; return m;}
ModInt operator+(const ModInt& b) const { return make(normS(v+b.v));}
ModInt operator-(const ModInt& b) const { return make(normS(v+mod-b.v));}
ModInt operator-() const { return make(normS(mod-v)); }
ModInt operator*(const ModInt& b) const { return make((ull)v*b.v%mod);}
ModInt operator/(const ModInt& b) const { return *this*b.inv();}
ModInt& operator+=(const ModInt& b){ return *this=*this+b;}
ModInt& operator-=(const ModInt& b){ return *this=*this-b;}
ModInt& operator*=(const ModInt& b){ return *this=*this*b;}
ModInt& operator/=(const ModInt& b){ return *this=*this/b;}
ModInt& operator++(int){ return *this=*this+1;}
ModInt& operator--(int){ return *this=*this-1;}
template<class T> friend ModInt operator+(T a, const ModInt& b){ return (ModInt(a) += b);}
template<class T> friend ModInt operator-(T a, const ModInt& b){ return (ModInt(a) -= b);}
template<class T> friend ModInt operator*(T a, const ModInt& b){ return (ModInt(a) *= b);}
template<class T> friend ModInt operator/(T a, const ModInt& b){ return (ModInt(a) /= b);}
ModInt pow(ll p) const {
if(p<0) return inv().pow(-p);
ModInt a = 1;
ModInt x = *this;
while(p){
if(p&1) a *= x;
x *= x;
p >>= 1;
}
return a;
}
ModInt inv() const { // should be prime
return pow(mod-2);
}
// ll extgcd(ll a,ll b,ll &x,ll &y) const{
// ll p[]={a,1,0},q[]={b,0,1};
// while(*q){
// ll t=*p/ *q;
// rep(i,3) swap(p[i]-=t*q[i],q[i]);
// }
// if(p[0]<0) rep(i,3) p[i]=-p[i];
// x=p[1],y=p[2];
// return p[0];
// }
// ModInt inv() const {
// ll x,y;
// extgcd(v,mod,x,y);
// return make(normS(x+mod));
// }
bool operator==(const ModInt& b) const { return v==b.v;}
bool operator!=(const ModInt& b) const { return v!=b.v;}
bool operator<(const ModInt& b) const { return v<b.v;}
friend istream& operator>>(istream &o,ModInt& x){
ll tmp;
o>>tmp;
x=ModInt(tmp);
return o;
}
friend ostream& operator<<(ostream &o,const ModInt& x){ return o<<x.v;}
};
using mint = ModInt<998244353>;
void zeta(V<mint>& f,int N){
rep(i,N) rep(j,1<<N) if(0==(j&1<<i)) f[j]+=f[j|(1<<i)];
}
int main(){
cin.tie(0);
ios::sync_with_stdio(false); //DON'T USE scanf/printf/puts !!
cout << fixed << setprecision(20);
int N,M,X; cin >> N >> M >> X;
V<V<int>> lrcs;
rep(cut,1<<(N-1)){
V<int> t;
rep(i,N){
if(i==0 or B(cut,i-1)) t.pb(i);
}
t.pb(N);
int K = si(t)-1;
auto dfs = [&](auto&& self, int k, int L, int R) -> void {
if(k == K){
lrcs.pb({L,R,cut});
return;
}
if(t[k+1]-t[k] == 1){
self(self,k+1,L^(1<<t[k]),R^(1<<t[k]));
}else{
self(self,k+1,L^(1<<t[k]),R^(1<<(t[k+1]-1)));
self(self,k+1,L^(1<<(t[k+1]-1)),R^(1<<t[k]));
}
};
dfs(dfs,0,0,0);
}
VV<P> w2same(M),w2diff(M);
while(X--){
int w,x,y,t; cin >> w >> x >> y >> t;
w--,x--,y--;
if(t == 0) w2same[w].pb(P(x,y));
else w2diff[w].pb(P(x,y));
}
if(!w2same[0].empty()){
cout << 0 << endl; return 0;
}
// first col!!!
V<mint> dp(1<<N); dp[(1<<N)-1] = 1;
V<mint> nx(1<<N);
rep(w,M-1){
// w -> w+1
zeta(dp,N);
V<bool> valid(1<<(N-1),true);
{
auto& same = w2same[w+1], diff = w2diff[w+1];
for(auto& [x,y]: same){
rep(c,1<<(N-1)){
for(int i=x;i<y;i++) if(B(c,i)) valid[c] = false;
}
}
for(auto& [x,y]: diff){
rep(c,1<<(N-1)){
bool isdiff = false;
for(int i=x;i<y;i++) if(B(c,i)) isdiff = true;
if(!isdiff) valid[c] = false;
}
}
}
for(const auto& lrc: lrcs){
int L = lrc[0], R = lrc[1], C = lrc[2];
if(!valid[C]) continue;
nx[R] += dp[L];
}
dp = nx; rep(s,1<<N) nx[s] = 0;
}
cout << accumulate(all(dp),mint(0)) << endl;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3616kb
input:
3 5 3 3 2 3 0 4 1 2 0 5 1 3 0
output:
19
result:
ok 1 number(s): "19"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
5 10 10 9 3 4 1 2 4 5 0 7 2 3 0 9 2 3 0 6 3 5 0 6 2 4 1 2 4 5 0 1 1 3 1 7 2 4 0 10 2 3 0
output:
1514
result:
ok 1 number(s): "1514"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
5 10 20 8 4 5 0 2 2 5 1 8 4 5 0 10 3 5 0 7 1 3 1 1 2 4 1 6 3 5 1 10 3 5 0 4 1 5 1 7 3 4 1 2 2 4 1 8 3 4 0 9 3 5 0 5 2 5 1 9 4 5 0 9 1 2 0 6 1 5 1 8 3 5 0 2 2 4 1 8 3 5 0
output:
28131
result:
ok 1 number(s): "28131"
Test #4:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
10 100 200 95 5 7 0 7 4 6 1 62 9 10 0 32 5 8 1 31 2 6 1 75 7 9 1 1 4 7 1 18 7 10 1 75 1 8 1 87 6 9 1 44 7 8 1 68 6 9 1 95 4 6 0 34 1 2 1 70 1 6 1 31 5 9 1 15 6 10 1 48 5 8 1 51 3 7 1 39 5 9 1 23 2 3 1 7 8 9 1 84 7 10 1 13 4 9 1 18 3 6 1 59 9 10 0 31 8 10 1 6 7 9 1 76 3 10 1 41 5 6 0 33 3 4 1 96 1 10...
output:
655333622
result:
ok 1 number(s): "655333622"
Test #5:
score: 0
Accepted
time: 4ms
memory: 4036kb
input:
10 200 200 106 9 10 0 93 4 10 1 199 3 7 0 73 2 9 1 105 8 9 0 38 9 10 1 73 8 10 1 153 3 9 1 123 2 5 1 159 7 9 0 154 5 7 1 162 3 7 0 113 1 5 1 131 7 9 1 67 4 6 1 178 6 10 0 157 7 9 0 147 9 10 0 154 7 10 0 123 3 4 1 39 8 10 1 139 2 9 1 191 9 10 0 36 4 5 1 17 2 8 1 124 3 7 1 9 9 10 1 71 9 10 1 181 7 8 0...
output:
552037151
result:
ok 1 number(s): "552037151"
Test #6:
score: 0
Accepted
time: 5ms
memory: 3820kb
input:
10 300 200 252 1 5 0 48 9 10 1 18 9 10 1 233 9 10 0 195 2 9 1 125 2 5 1 263 7 9 1 24 1 6 1 258 2 10 1 272 8 10 1 76 5 7 1 147 1 7 1 93 9 10 1 30 6 9 1 10 1 10 1 56 2 10 1 93 8 9 1 206 6 9 1 65 1 9 1 226 3 5 0 88 7 8 1 151 3 4 1 292 9 10 0 129 2 3 1 292 9 10 0 180 7 10 1 4 5 10 1 10 9 10 1 151 4 7 1 ...
output:
4494096
result:
ok 1 number(s): "4494096"
Test #7:
score: 0
Accepted
time: 8ms
memory: 4040kb
input:
10 500 300 210 4 7 1 341 8 9 0 371 2 5 0 21 4 10 1 370 8 9 0 368 1 6 0 395 7 9 0 287 6 10 1 299 3 7 1 379 1 9 1 164 4 10 1 390 7 9 0 455 6 9 0 208 8 10 1 402 3 10 0 112 8 10 1 279 3 10 1 180 7 10 1 456 2 6 0 121 5 6 1 312 5 7 0 335 8 10 0 318 2 10 1 497 8 10 0 108 8 9 0 247 3 6 1 155 5 6 1 308 1 2 0...
output:
705403853
result:
ok 1 number(s): "705403853"
Test #8:
score: 0
Accepted
time: 42ms
memory: 4528kb
input:
12 500 300 115 3 10 1 152 10 12 1 89 8 12 1 276 4 7 0 467 6 7 0 405 5 9 0 189 4 9 1 197 1 3 1 341 7 8 0 67 7 8 1 266 2 6 1 78 8 12 1 317 11 12 0 417 8 10 0 380 2 8 0 255 2 5 1 80 7 9 1 317 5 11 1 470 5 9 0 373 3 4 0 413 4 10 0 393 9 12 0 362 8 10 1 42 7 12 1 486 3 5 0 229 1 5 0 224 6 7 0 55 3 10 1 4...
output:
378086467
result:
ok 1 number(s): "378086467"
Test #9:
score: 0
Accepted
time: 41ms
memory: 4476kb
input:
12 500 500 54 11 12 1 325 10 11 0 83 2 3 1 148 3 10 1 165 3 11 1 16 11 12 1 363 8 10 1 78 11 12 1 258 4 12 1 237 8 11 1 403 2 10 1 354 1 9 1 234 4 7 1 454 9 11 0 160 11 12 1 393 1 3 0 375 9 11 0 494 1 3 0 200 6 12 1 414 11 12 0 217 9 10 0 92 5 9 1 172 5 6 1 110 8 12 1 339 4 12 1 429 2 4 0 29 10 11 1...
output:
948753642
result:
ok 1 number(s): "948753642"
Test #10:
score: 0
Accepted
time: 220ms
memory: 9440kb
input:
14 500 500 362 4 12 1 225 5 9 1 428 5 9 1 101 8 10 1 488 5 9 0 249 11 14 1 232 2 6 1 220 4 10 1 20 7 13 1 154 4 13 1 480 8 14 0 9 2 4 1 201 7 10 1 174 10 11 0 169 13 14 0 256 10 12 1 403 11 13 0 492 10 14 0 167 6 12 1 123 11 13 1 471 9 10 0 77 5 9 1 51 6 10 1 411 11 14 1 422 11 13 0 7 1 7 1 284 5 11...
output:
103280588
result:
ok 1 number(s): "103280588"
Test #11:
score: 0
Accepted
time: 212ms
memory: 9440kb
input:
14 500 0
output:
750061283
result:
ok 1 number(s): "750061283"
Test #12:
score: 0
Accepted
time: 214ms
memory: 9512kb
input:
14 495 0
output:
662120858
result:
ok 1 number(s): "662120858"
Test #13:
score: 0
Accepted
time: 215ms
memory: 9376kb
input:
14 490 0
output:
456608006
result:
ok 1 number(s): "456608006"
Test #14:
score: 0
Accepted
time: 215ms
memory: 9484kb
input:
14 500 5 123 7 12 1 24 13 14 1 170 6 13 1 304 2 8 1 475 10 11 0
output:
715116697
result:
ok 1 number(s): "715116697"
Test #15:
score: 0
Accepted
time: 216ms
memory: 9444kb
input:
14 500 10 237 5 9 1 36 3 14 1 470 5 13 1 315 4 6 1 28 9 12 1 220 11 14 0 160 9 12 1 312 10 11 0 72 7 12 1 230 8 11 0
output:
434022866
result:
ok 1 number(s): "434022866"
Test #16:
score: 0
Accepted
time: 216ms
memory: 9432kb
input:
14 500 15 339 5 10 1 326 4 7 1 421 12 14 0 225 13 14 1 307 1 3 0 285 2 4 0 33 8 10 1 226 2 3 0 478 13 14 1 347 5 11 1 138 5 13 1 141 9 14 1 417 2 8 1 172 6 11 1 222 7 14 1
output:
268520991
result:
ok 1 number(s): "268520991"
Test #17:
score: 0
Accepted
time: 220ms
memory: 9444kb
input:
14 500 20 357 5 14 1 296 10 14 1 490 9 10 0 221 11 12 1 490 12 13 0 469 5 13 1 93 2 8 1 482 12 14 0 461 2 7 1 152 2 13 1 34 8 14 1 60 9 12 1 195 4 5 0 1 6 8 1 3 5 11 1 129 11 13 1 124 13 14 1 434 11 13 0 141 4 5 1 80 6 12 1
output:
691528902
result:
ok 1 number(s): "691528902"
Test #18:
score: 0
Accepted
time: 221ms
memory: 9516kb
input:
14 500 100 85 13 14 0 130 2 7 0 38 5 10 0 450 1 2 1 103 8 10 0 410 11 14 1 39 10 14 0 29 3 4 0 98 9 11 0 226 6 9 1 17 5 6 0 475 9 12 1 337 12 13 1 42 10 11 0 457 8 10 1 49 1 2 0 222 9 13 0 105 7 11 0 403 6 8 1 151 2 8 0 13 11 12 0 483 10 14 1 304 5 9 1 197 5 14 0 58 4 7 0 482 1 12 1 331 12 13 1 398 ...
output:
0
result:
ok 1 number(s): "0"
Test #19:
score: 0
Accepted
time: 8ms
memory: 9444kb
input:
14 498 200 457 10 13 0 163 6 10 0 23 2 5 0 109 5 8 0 113 12 14 0 294 10 12 0 1 10 14 0 451 1 2 0 275 1 13 0 345 10 14 0 171 2 9 0 392 8 11 0 184 13 14 0 328 10 11 0 84 10 13 0 238 6 12 0 306 6 13 0 56 8 14 0 404 10 14 0 90 3 10 0 446 12 14 0 303 9 11 0 71 11 12 0 362 10 13 0 405 13 14 1 258 4 13 0 1...
output:
0
result:
ok 1 number(s): "0"
Test #20:
score: 0
Accepted
time: 0ms
memory: 9356kb
input:
14 497 300 265 5 12 0 368 6 14 0 400 3 10 0 408 13 14 1 494 9 11 1 8 13 14 0 132 10 14 0 203 4 10 0 86 13 14 0 96 3 9 0 39 11 14 0 439 8 9 0 161 1 13 0 264 1 7 0 176 8 10 0 8 10 12 0 299 2 13 0 285 1 13 0 392 7 8 1 143 11 13 0 84 10 11 1 270 1 9 0 311 8 10 0 39 5 10 0 282 4 11 0 45 9 10 0 465 12 14 ...
output:
0
result:
ok 1 number(s): "0"
Test #21:
score: 0
Accepted
time: 4ms
memory: 9312kb
input:
14 499 500 349 7 10 0 440 11 13 0 391 5 11 0 461 8 10 1 172 12 14 0 139 5 10 0 79 3 4 0 456 10 11 0 276 11 14 0 484 5 6 1 178 11 13 0 295 8 11 0 384 3 8 0 112 9 11 0 170 3 7 0 490 12 14 1 243 7 9 0 360 4 7 0 302 10 12 0 266 5 8 0 350 8 12 0 282 7 12 0 480 7 11 1 312 10 13 0 356 13 14 0 277 4 5 0 245...
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 220ms
memory: 9420kb
input:
14 500 3 2 1 2 0 2 2 3 0 2 1 3 1
output:
0
result:
ok 1 number(s): "0"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
1 500 0
output:
1
result:
ok 1 number(s): "1"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
4 2 0
output:
17
result:
ok 1 number(s): "17"
Extra Test:
score: 0
Extra Test Passed