QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#248225 | #7623. Coloring Tape | ucup-team088# | TL | 1035ms | 28944kb | C++17 | 9.0kb | 2023-11-11 17:57:19 | 2023-11-11 17:57:19 |
Judging History
answer
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
#include<chrono>
using namespace std;
//#define int long long
typedef long long ll;
typedef unsigned long long ul;
typedef unsigned int ui;
//ll mod = 1;
constexpr ll mod = 998244353;
//constexpr ll mod = 1000000007;
const int mod17 = 1000000007;
const ll INF = (ll)mod17 * mod17;
typedef pair<int, int>P;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
using ld = double;
typedef pair<ld, ld> LDP;
const ld eps = 1e-10;
const ld pi = acosl(-1.0);
template<typename T>
void chmin(T& a, T b) {
a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
a = max(a, b);
}
template<typename T>
vector<T> vmerge(vector<T>& a, vector<T>& b) {
vector<T> res;
int ida = 0, idb = 0;
while (ida < a.size() || idb < b.size()) {
if (idb == b.size()) {
res.push_back(a[ida]); ida++;
}
else if (ida == a.size()) {
res.push_back(b[idb]); idb++;
}
else {
if (a[ida] < b[idb]) {
res.push_back(a[ida]); ida++;
}
else {
res.push_back(b[idb]); idb++;
}
}
}
return res;
}
template<typename T>
void cinarray(vector<T>& v) {
rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
rep(i, v.size()) {
if (i > 0)cout << " "; cout << v[i];
}
cout << "\n";
}
ll mod_pow(ll x, ll n, ll m = mod) {
if (n < 0) {
ll res = mod_pow(x, -n, m);
return mod_pow(res, m - 2, m);
}
if (abs(x) >= m)x %= m;
if (x < 0)x += m;
//if (x == 0)return 0;
ll res = 1;
while (n) {
if (n & 1)res = res * x % m;
x = x * x % m; n >>= 1;
}
return res;
}
//mod should be <2^31
struct modint {
int n;
modint() :n(0) { ; }
modint(ll m) {
if (m < 0 || mod <= m) {
m %= mod; if (m < 0)m += mod;
}
n = m;
}
operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
bool operator<(modint a, modint b) { return a.n < b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= (int)mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += (int)mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
if (n == 0)return modint(1);
modint res = (a * a) ^ (n / 2);
if (n % 2)res = res * a;
return res;
}
ll inv(ll a, ll p) {
return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
fact[0] = modint(1);
for (int i = 0; i < max_n - 1; i++) {
fact[i + 1] = fact[i] * modint(i + 1);
}
factinv[max_n - 1] = modint(1) / fact[max_n - 1];
for (int i = max_n - 2; i >= 0; i--) {
factinv[i] = factinv[i + 1] * modint(i + 1);
}
}
modint comb(int a, int b) {
if (a < 0 || b < 0 || a < b)return 0;
return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
if (a < 0 || b < 0 || a < b)return 0;
return fact[a] * factinv[a - b];
}
ll gcd(ll a, ll b) {
a = abs(a); b = abs(b);
if (a < b)swap(a, b);
while (b) {
ll r = a % b; a = b; b = r;
}
return a;
}
template<typename T>
void addv(vector<T>& v, int loc, T val) {
if (loc >= v.size())v.resize(loc + 1, 0);
v[loc] += val;
}
/*const int mn = 2000005;
bool isp[mn];
vector<int> ps;
void init() {
fill(isp + 2, isp + mn, true);
for (int i = 2; i < mn; i++) {
if (!isp[i])continue;
ps.push_back(i);
for (int j = 2 * i; j < mn; j += i) {
isp[j] = false;
}
}
}*/
//[,val)
template<typename T>
auto prev_itr(set<T>& st, T val) {
auto res = st.lower_bound(val);
if (res == st.begin())return st.end();
res--; return res;
}
//[val,)
template<typename T>
auto next_itr(set<T>& st, T val) {
auto res = st.lower_bound(val);
return res;
}
using mP = pair<modint, modint>;
mP operator+(mP a, mP b) {
return { a.first + b.first,a.second + b.second };
}
mP operator+=(mP& a, mP b) {
a = a + b; return a;
}
mP operator-(mP a, mP b) {
return { a.first - b.first,a.second - b.second };
}
mP operator-=(mP& a, mP b) {
a = a - b; return a;
}
LP operator+(LP a, LP b) {
return { a.first + b.first,a.second + b.second };
}
LP operator+=(LP& a, LP b) {
a = a + b; return a;
}
LP operator-(LP a, LP b) {
return { a.first - b.first,a.second - b.second };
}
LP operator-=(LP& a, LP b) {
a = a - b; return a;
}
mt19937 mt(time(0));
const string drul = "DRUL";
string senw = "SENW";
//DRUL,or SENW
//int dx[4] = { 1,0,-1,0 };
//int dy[4] = { 0,1,0,-1 };
//------------------------------------
void solve() {
int h, w; cin >> h >> w;
int m; cin >> m;
using ar = array<int, 3>;
vector<vector<ar>> qs(w);
rep(i, m) {
int c, x, y, t; cin >> c >> x >> y >> t; c--; x--; y--;
qs[c].push_back({ t,x,y });
}
for (auto a : qs[0]) {
if (a[0] == 0) {
cout << 0 << "\n"; return;
}
}
vector<vector<P>> vs;
rep(i, (1 << (h-1))) {
int le = 0;
vector<P> ps;
rep(j, h - 1) {
if (i & (1 << j)) {
ps.push_back({ le,j });
le = j + 1;
}
}
ps.push_back({ le,h - 1 });
vs.push_back(ps);
}
sort(all(vs));
vector<vector<P>> G(1 << h);
int tmp = 0;
rep(i, (1 << h)) {
if (i == 0)continue;
vector<int> cur;
vector<int> locs;
rep(j, h)if (i & (1 << j))locs.push_back(j);
vector<P> cp;
int ni = 0;
function<void(int)> dfs = [&](int cur) {
if (cur == h) {
int id = lower_bound(all(vs), cp) - vs.begin();
G[i].push_back({ ni,id });
assert(vs[id] == cp);
tmp++;
return;
}
for (int to : locs)if(to>=cur) {
cp.push_back({ cur,to });
ni |= (1 << cur);
dfs(to + 1);
ni ^= (1 << cur);
cp.pop_back();
if (to == cur) {
for (int ad = to + 1; ad < h; ad++) {
cp.push_back({ cur,ad });
ni |= (1 << ad);
dfs(ad + 1);
ni ^= (1 << ad);
cp.pop_back();
}
}
}
};
dfs(0);
}
//cout << tmp << "\n";
vector<modint> dp(1 << h);
vector<modint> ndp(1 << h);
dp.back() = 1;
vector<int> col(h);
for (int j = 1; j < w; j++) {
int tmp = 0;
vector<bool> isok(vs.size());
rep(i, vs.size()) {
rep(j, vs[i].size()) {
for (int k = vs[i][j].first; k <= vs[i][j].second; k++) {
col[k] = j;
}
}
isok[i] = true;
for (auto a : qs[j]) {
if (a[0] && col[a[1]] == col[a[2]])isok[i] = false;
if (!a[0] && col[a[1]] != col[a[2]])isok[i] = false;
}
}
fill(all(ndp), 0);
rep(i, (1 << h))if (dp[i] != (modint)0) {
for (P pto : G[i])if (isok[pto.second]) {
ndp[pto.first] += dp[i]; tmp++;
}
}
//cout << tmp << "\n";
swap(dp, ndp);
//coutarray(dp);
}
modint ans = 0;
rep(i, (1 << h))ans += dp[i];
cout << ans << "\n";
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
//cout << fixed<<setprecision(10);
//init_f();
//init();
//init2();
//while(true)
//expr();
//int t; cin >> t; rep(i, t)
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 11908kb
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: 4ms
memory: 11908kb
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: 4ms
memory: 11924kb
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: 33ms
memory: 13192kb
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: 44ms
memory: 13152kb
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: 49ms
memory: 13136kb
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: 75ms
memory: 13136kb
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: 834ms
memory: 28944kb
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: 1035ms
memory: 28852kb
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: -100
Time Limit Exceeded
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...