QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#325301 | #5605. A-Mazing Puzzle | tom0727 | AC ✓ | 927ms | 59956kb | C++20 | 7.3kb | 2024-02-11 07:33:19 | 2024-02-11 07:33:20 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#if __cplusplus >= 201103L
struct pairhash {
static uint64_t splitmix64(uint64_t x) {
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
template<class T, class U>
size_t operator() (const pair<T,U> &p) const {
static const uint64_t FIXED_RANDOM = (uint64_t)chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(p.first + FIXED_RANDOM) ^ splitmix64(p.second+ FIXED_RANDOM);
}
};
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = (uint64_t)chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
inline int randint(int l, int r) {
return uniform_int_distribution<int>(l,r)(rng);
}
inline double randdouble(double l, double r) {
return uniform_real_distribution<double>(l,r)(rng);
}
inline long long randll(long long l, long long r) {
mt19937_64 rng2((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
return uniform_int_distribution<long long>(l, r)(rng2);
}
#endif
#ifndef ONLINE_JUDGE
# define LOG(x) (cerr << #x << " = " << (x) << endl)
#else
# define LOG(x) 0
#endif
#define fastio ios::sync_with_stdio(false); cin.tie(0);
#define ll long long
#define ull unsigned long long
#define ll128 __int128_t
#define PI 3.14159265358979323846
#define abs(a) ((a>0)?a:-(a))
#define pii pair<int,int>
#define pll pair<ll,ll>
const long double pi = acos(-1.0);
const long double eps = (double)1e-10;
// const int mod = 1e9+7;
int mod;
template<class T>
T qpow(T a, int b) {
T res = 1;
while (b) {
if (b & 1) res *= a;
a *= a;
b >>= 1;
}
return res;
}
int norm(int x) {
if (x < 0) {
x += mod;
}
if (x >= mod) {
x -= mod;
}
return x;
}
struct Z {
int x;
Z(int x = 0) : x(norm(x)) {}
Z(ll x) : x(norm((int)(x % mod))) {}
int val() const {
return x;
}
Z operator-() const {
return Z(norm(mod - x));
}
Z inv() const {
assert(x != 0);
return qpow(*this, mod - 2);
}
Z &operator*=(const Z &rhs) {
x = (int)((ll)(x) * rhs.x % mod);
return *this;
}
Z &operator+=(const Z &rhs) {
x = norm(x + rhs.x);
return *this;
}
Z &operator-=(const Z &rhs) {
x = norm(x - rhs.x);
return *this;
}
Z &operator/=(const Z &rhs) {
return *this *= rhs.inv();
}
friend Z operator*(const Z &lhs, const Z &rhs) {
Z res = lhs;
res *= rhs;
return res;
}
friend Z operator+(const Z &lhs, const Z &rhs) {
Z res = lhs;
res += rhs;
return res;
}
friend Z operator-(const Z &lhs, const Z &rhs) {
Z res = lhs;
res -= rhs;
return res;
}
friend Z operator/(const Z &lhs, const Z &rhs) {
Z res = lhs;
res /= rhs;
return res;
}
friend std::istream &operator>>(std::istream &is, Z &a) {
ll v;
is >> v;
a = Z(v);
return is;
}
friend std::ostream &operator<<(std::ostream &os, const Z &a) {
return os << a.val();
}
};
const int maxn = 1e6+5;
const int maxm = 1e6+5;
struct State {
int c1, r1, c2, r2, m, b;
bool operator<(const State& other) const {
return tuple {m, b} < tuple {other.m, other.b};
}
};
pii dp[51][51][51][51];
int c, r, e; // exit: (e, 0)
int dir[4][2] = {{0, -1}, {-1, 0}, {0, 1}, {1, 0}}; // S, W, N, E
bool bad[51][51][4]; // S, W, N, E; if bad, cannot use
char D1, D2;
vector<pii> op;
int mapdir(int d) {
if (d == 'S') return 0;
if (d == 'W') return 1;
if (d == 'N') return 2;
if (d == 'E') return 3;
}
queue<State> q;
void bfs() {
while (q.size()) {
auto [c1, r1, c2, r2, m, b] = q.front(); q.pop();
// printf("{%d, %d, %d, %d} = %d, %d\n",c1,r1,c2,r2,m,b);
vector<State> tmp;
for (int o = 0; o < 4; o++) {
auto [o1, o2] = op[o];
int nc1 = c1 + dir[o1][0], nr1 = r1 + dir[o1][1];
int nc2 = c2 + dir[o2][0], nr2 = r2 + dir[o2][1];
// if (c1 == 2 && r1 == 0 && c2 == 2 && r2 == 1) {
// printf("o1 = %d, o2 = %d, bad1 = %d, bad2 = %d\n",o1,o2,bad[c1][r1][o1],bad[c2][r2][o2]);
// printf("nc1 = %d, nr1 = %d, nc2 = %d, nr2 = %d\n",nc1,nr1,nc2,nr2);
// }
int bp = 0;
if (bad[c1][r1][o1]) nc1 = c1, nr1 = r1, bp++;
if (bad[c2][r2][o2]) nc2 = c2, nr2 = r2, bp++;
if (c1 == e && r1 == 0) nc1 = c1, nr1 = r1; // 终点:在原地呆着
if (c2 == e && r2 == 0) nc2 = c2, nr2 = r2;
State nstate = {nc1, nr1, nc2, nr2, m+1, b+bp};
tmp.push_back(nstate);
}
sort(tmp.begin(), tmp.end());
for (auto nstate : tmp) {
auto [C1, R1, C2, R2, M, B] = nstate;
if (!(C1 == e && R1 == 0) && C1 == C2 && R1 == R2) continue;
// if (c1 == 4 && r1 == 0 && c2 == 4 && r2 == 1)
// printf("{%d, %d, %d, %d} = %d, %d\n",C1,R1,C2,R2,M,B);
if (pii{M, B} < dp[C1][R1][C2][R2]) {
dp[C1][R1][C2][R2] = {M, B};
q.push(nstate);
}
}
}
cout << dp[e][0][e][0].first << " " << dp[e][0][e][0].second << "\n";
}
int main() {
int c1, r1, d1, c2, r2, d2;
cin >> c >> r >> e;
cin >> c1 >> r1 >> D1 >> c2 >> r2 >> D2;
memset(dp, 63, sizeof(dp));
dp[c1][r1][c2][r2] = {0, 0};
// cout << dp[1][1][1][1].first << " " << dp[1][1][1][1].second << endl;
d1 = mapdir(D1), d2 = mapdir(D2);
for (int i = 0; i < 4; i++) {
op.push_back({d1, d2});
d1++, d2++;
d1 %= 4, d2 %= 4;
}
int n; cin >> n;
while (n--) {
int ci, ri; cin >> ci >> ri; // (ci, ri) -> (ci, ri+1)
// (ci, ri): N bad
// (ci, ri+1): S bad
bad[ci][ri][2] = 1;
bad[ci][ri+1][0] = 1;
}
cin >> n;
while (n--) {
int ci, ri; cin >> ci >> ri; // (ci, ri) -> (ci+1, ri)
// (ci, ri): E bad
// (ci+1, ri): W bad
bad[ci][ri][3] = 1;
bad[ci+1][ri][1] = 1;
}
for (int i = 1; i <= c; i++) {
for (int j = 1; j <= r; j++) {
if (i == 1) bad[i][j][1] = 1;
if (i == c) bad[i][j][3] = 1;
if (j == 1) bad[i][j][0] = 1;
if (j == r) bad[i][j][2] = 1;
}
}
bad[e][1][0] = 0;
fill(bad[e][0], bad[e][0]+4, 0);
q.push({c1, r1, c2, r2, 0, 0});
bfs();
}
详细
Test #1:
score: 100
Accepted
time: 4ms
memory: 56552kb
input:
7 4 4 3 2 S 6 3 S 6 1 1 1 2 1 3 2 3 5 1 5 3 11 2 1 3 1 3 2 5 2 6 2 2 3 4 3 5 3 6 3 3 4 6 4
output:
8 1
result:
ok single line: '8 1'
Test #2:
score: 0
Accepted
time: 3ms
memory: 56408kb
input:
3 4 2 1 3 S 3 2 S 1 3 3 5 1 1 2 1 1 2 1 3 2 3
output:
7 2
result:
ok single line: '7 2'
Test #3:
score: 0
Accepted
time: 850ms
memory: 58952kb
input:
50 50 4 15 28 W 9 43 E 49 11 47 42 33 3 4 36 49 21 21 15 34 43 5 32 35 3 21 7 1 40 4 22 44 11 40 46 43 13 26 32 6 44 25 31 46 26 7 45 4 18 10 10 21 3 20 31 8 34 40 42 1 48 43 18 17 9 39 17 2 48 25 39 35 45 43 8 2 22 17 6 46 33 1 38 6 28 25 29 32 45 12 11 20 8 48 14 9 2 24 45 38 1 20 34 5 46 24 50 13...
output:
91 52
result:
ok single line: '91 52'
Test #4:
score: 0
Accepted
time: 531ms
memory: 58976kb
input:
50 50 25 1 50 N 50 50 E 1 45 25 1 16 37
output:
100 26
result:
ok single line: '100 26'
Test #5:
score: 0
Accepted
time: 8ms
memory: 56544kb
input:
10 10 1 10 1 N 10 2 N 0 81 9 1 9 2 9 3 9 4 9 5 9 6 9 7 9 8 9 9 8 10 8 9 8 8 8 7 8 6 8 5 8 4 8 3 8 2 7 1 7 2 7 3 7 4 7 5 7 6 7 7 7 8 7 9 6 10 6 9 6 8 6 7 6 6 6 5 6 4 6 3 6 2 5 1 5 2 5 3 5 4 5 5 5 6 5 7 5 8 5 9 4 10 4 9 4 8 4 7 4 6 4 5 4 4 4 3 4 2 3 1 3 2 3 3 3 4 3 5 3 6 3 7 3 8 3 9 2 10 2 9 2 8 2 7 2...
output:
120 4
result:
ok single line: '120 4'
Test #6:
score: 0
Accepted
time: 0ms
memory: 56676kb
input:
3 3 1 3 1 N 3 2 N 0 4 1 2 1 3 2 1 2 2
output:
13 4
result:
ok single line: '13 4'
Test #7:
score: 0
Accepted
time: 0ms
memory: 56480kb
input:
4 3 1 4 1 N 4 2 N 0 6 1 2 1 3 2 1 2 2 3 2 3 3
output:
15 4
result:
ok single line: '15 4'
Test #8:
score: 0
Accepted
time: 5ms
memory: 56432kb
input:
5 5 1 2 4 N 2 1 S 2 2 2 2 4 3 1 1 1 3 3 3
output:
9 4
result:
ok single line: '9 4'
Test #9:
score: 0
Accepted
time: 3ms
memory: 56476kb
input:
5 6 5 4 1 E 5 2 S 3 4 1 3 1 2 1 3 4 2 4 3 4 4
output:
11 2
result:
ok single line: '11 2'
Test #10:
score: 0
Accepted
time: 3ms
memory: 56448kb
input:
4 4 3 1 2 E 4 1 W 2 3 2 4 1 5 1 1 2 1 1 3 3 2 3 3
output:
5 2
result:
ok single line: '5 2'
Test #11:
score: 0
Accepted
time: 0ms
memory: 56520kb
input:
10 10 2 1 1 E 6 1 W 1 6 1 1 1 1
output:
8 4
result:
ok single line: '8 4'
Test #12:
score: 0
Accepted
time: 4ms
memory: 56488kb
input:
10 10 2 1 1 E 3 1 W 3 5 5 5 6 5 7 3 9 8 9 7 9 6
output:
6 1
result:
ok single line: '6 1'
Test #13:
score: 0
Accepted
time: 0ms
memory: 56452kb
input:
4 8 2 2 4 S 2 6 S 1 2 2 1 2 5
output:
8 1
result:
ok single line: '8 1'
Test #14:
score: 0
Accepted
time: 7ms
memory: 56480kb
input:
5 10 1 3 2 E 5 2 E 2 3 2 5 2 2 1 1 1 2
output:
9 3
result:
ok single line: '9 3'
Test #15:
score: 0
Accepted
time: 4ms
memory: 56736kb
input:
10 10 2 2 3 S 3 3 E 4 2 1 3 1 2 2 3 2 3 1 2 2 2 3 2
output:
11 2
result:
ok single line: '11 2'
Test #16:
score: 0
Accepted
time: 0ms
memory: 56536kb
input:
1 5 1 1 2 S 1 3 S 1 1 4 0
output:
3 0
result:
ok single line: '3 0'
Test #17:
score: 0
Accepted
time: 874ms
memory: 59956kb
input:
50 50 49 14 39 N 30 28 N 50 1 3 30 21 26 11 32 37 7 14 46 49 44 46 17 16 46 38 42 25 7 9 38 29 22 15 6 20 20 34 49 7 48 27 19 18 27 8 29 17 22 41 11 8 6 43 20 29 13 47 14 46 31 43 18 43 40 28 39 35 2 13 31 47 23 35 37 46 3 1 18 11 9 39 31 22 28 12 15 14 24 23 35 47 16 3 13 19 35 5 6 30 18 46 44 2 30...
output:
74 0
result:
ok single line: '74 0'
Test #18:
score: 0
Accepted
time: 904ms
memory: 59316kb
input:
50 50 28 39 24 W 50 30 N 48 4 35 19 38 23 43 12 49 26 35 20 40 24 9 29 41 2 16 23 36 26 40 45 5 31 10 41 49 34 44 39 4 2 8 40 11 10 40 10 13 18 6 18 28 2 4 17 22 41 38 20 29 6 35 35 20 42 47 32 21 20 38 17 33 42 45 21 4 39 32 49 32 26 3 11 28 12 6 28 47 2 42 29 14 22 23 34 40 47 23 47 26 39 16 1 17 ...
output:
67 29
result:
ok single line: '67 29'
Test #19:
score: 0
Accepted
time: 927ms
memory: 59324kb
input:
50 50 31 17 31 S 9 3 S 48 43 19 48 37 39 21 27 23 9 22 35 3 35 15 15 20 18 2 48 3 8 25 28 44 33 23 36 21 49 27 22 12 34 14 30 32 25 17 45 38 41 36 3 17 47 18 34 17 4 38 20 28 21 41 17 6 11 10 1 11 8 41 43 32 30 9 11 2 2 29 3 46 39 20 34 5 29 22 38 3 11 32 8 29 2 33 10 19 37 3 47 37 1 9 29 27 48 18 4...
output:
53 8
result:
ok single line: '53 8'
Test #20:
score: 0
Accepted
time: 878ms
memory: 59116kb
input:
50 50 35 47 40 N 20 27 N 50 38 4 24 32 7 49 46 46 35 15 5 10 2 21 6 48 38 31 25 24 34 16 16 34 41 6 40 37 8 9 11 28 29 18 13 12 5 18 32 40 17 11 38 28 31 8 13 31 41 10 42 23 27 4 28 20 40 49 8 25 33 13 11 49 15 30 14 27 15 22 31 10 10 6 30 3 42 7 46 16 14 1 37 17 8 17 24 2 41 11 35 14 46 45 26 21 12...
output:
68 18
result:
ok single line: '68 18'
Test #21:
score: 0
Accepted
time: 0ms
memory: 56444kb
input:
10 10 1 3 1 N 3 2 N 0 81 9 1 9 2 9 3 9 4 9 5 9 6 9 7 9 8 9 9 8 10 8 9 8 8 8 7 8 6 8 5 8 4 8 3 8 2 7 1 7 2 7 3 7 4 7 5 7 6 7 7 7 8 7 9 6 10 6 9 6 8 6 7 6 6 6 5 6 4 6 3 6 2 5 1 5 2 5 3 5 4 5 5 5 6 5 7 5 8 5 9 4 10 4 9 4 8 4 7 4 6 4 5 4 4 4 3 4 2 3 1 3 2 3 3 3 4 3 5 3 6 3 7 3 8 3 9 2 10 2 9 2 8 2 7 2 6...
output:
42 4
result:
ok single line: '42 4'
Test #22:
score: 0
Accepted
time: 4ms
memory: 56720kb
input:
4 4 1 4 1 N 4 2 N 0 9 1 1 1 2 1 3 2 2 2 3 2 4 3 1 3 2 3 3
output:
24 4
result:
ok single line: '24 4'
Test #23:
score: 0
Accepted
time: 4ms
memory: 56480kb
input:
50 50 1 1 50 N 50 50 E 0 0
output:
100 1
result:
ok single line: '100 1'
Test #24:
score: 0
Accepted
time: 315ms
memory: 57844kb
input:
50 50 28 39 24 W 50 30 N 0 1 40 17
output:
67 28
result:
ok single line: '67 28'
Test #25:
score: 0
Accepted
time: 23ms
memory: 56880kb
input:
25 25 14 19 12 W 25 15 N 0 1 20 8
output:
34 13
result:
ok single line: '34 13'
Test #26:
score: 0
Accepted
time: 12ms
memory: 56536kb
input:
25 16 14 19 9 W 25 12 N 0 1 20 5
output:
31 13
result:
ok single line: '31 13'
Test #27:
score: 0
Accepted
time: 3ms
memory: 56740kb
input:
12 16 1 6 9 W 12 12 N 0 1 7 5
output:
31 13
result:
ok single line: '31 13'