QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#230933 | #7635. Fairy Chess | ucup-team296# | AC ✓ | 1020ms | 132104kb | C++14 | 4.5kb | 2023-10-28 22:11:23 | 2023-10-28 22:11:23 |
Judging History
answer
#include <bits/stdc++.h>
#define long uint64_t
#define DEBUG
using namespace std;
// @author: pashka
struct state {
long x[6];
};
bool operator < (const state &a, const state &b) {
for (int i = 0; i < 6; i++) {
if (a.x[i] < b.x[i]) return true;
if (a.x[i] > b.x[i]) return false;
}
return false;
}
vector<vector<long>> beat(6, vector<long>(64));
map<state, int> mem[13];
vector<int> tt;
void print(long x) {
for (int i = 0; i < 8; i++) {
for (int j = 0; j < 8; j++) {
cout << ((x >> (i * 8 + j)) & 1);
}
cout << "\n";
}
cout << "\n";
}
int c = 0;
int ntz(uint64_t x) {
// We return the number of trailing zeros in
// the binary representation of x.
//
// We have that 0 <= x < 2^64.
//
// We begin by applying a function sensitive only
// to the least significant bit (lsb) of x:
//
// x -> x^(x-1) e.g. 0b11001000 -> 0b00001111
//
// Observe that x^(x-1) == 2^(ntz(x)+1) - 1.
uint64_t y = x^(x-1);
// Next, we multiply by 0x03f79d71b4cb0a89,
// and then roll off the first 58 bits.
constexpr uint64_t debruijn = 0x03f79d71b4cb0a89;
uint8_t z = (debruijn*y) >> 58;
// What? Don't look at me like that.
//
// With 58 bits rolled off, only 6 bits remain,
// so we must have one of 0, 1, 2, ..., 63.
//
// It turns out this number was judiciously
// chosen to make it so each of the possible
// values for y were mapped into distinct slots.
//
// So we just use a look-up table of all 64
// possible answers, which have been precomputed in
// advance by the the sort of people who write
// chess engines in their spare time:
constexpr std::array<int,64> lookup = {
0, 47, 1, 56, 48, 27, 2, 60,
57, 49, 41, 37, 28, 16, 3, 61,
54, 58, 35, 52, 50, 42, 21, 44,
38, 32, 29, 23, 17, 11, 4, 62,
46, 55, 26, 59, 40, 36, 15, 53,
34, 51, 20, 43, 31, 22, 10, 45,
25, 39, 14, 33, 19, 30, 9, 24,
13, 18, 8, 12, 7, 6, 5, 63
};
return lookup[z];
}
int go(state st, int i) {
auto res = mem[i][st];
if (res != 0) return res;
res = 2;
long mm = ULLONG_MAX - st.x[tt[i]];
while (mm) {
int x = ntz(mm);
mm -= (1ull << x);
// if (i == 0 && ((x / 8 >= 4) || (x % 8 >= 4))) continue;
state st2 = st;
for (int j = 0; j < 6; j++) {
st2.x[j] = st2.x[j] | beat[tt[i]][x];
st2.x[j] = st2.x[j] | beat[j][x];
}
int g = go(st2, i + 1);
if (g == 2) {
res = 1;
break;
}
}
mem[i][st] = res;
// c++;
// if (c % 100000 == 0) {
// cout << c << endl;
// }
return res;
}
int main() {
ios::sync_with_stdio(false);
for (int t = 0; t < 6; t++) {
for (int i = 0; i < 8; i++) {
for (int j = 0; j < 8; j++) {
int x = i * 8 + j;
for (int ii = 0; ii < 8; ii++) {
for (int jj = 0; jj < 8; jj++) {
int y = ii * 8 + jj;
bool bb = false;
if (t == 1 || t == 2 || t == 4 || t == 5) {
if (ii == i || jj == j) bb = true;
}
if (t == 0 || t == 2 || t == 3 || t == 5) {
if ((ii - jj) == (i - j) || (ii + jj == i + j)) bb = true;
}
if (t == 3 || t == 4 || t == 5) {
if ((abs(ii - i) == 2 && abs(jj - j) == 1) ||
(abs(ii - i) == 1 && abs(jj - j) == 2)) bb = true;
}
if (bb) {
beat[t][x] = beat[t][x] | (1ull << y);
}
}
}
}
}
}
// for (int t = 0; t < 64; t++) {
// print(beat[1][t]);
// }
string types = "BRQACM";
string s;
cin >> s;
tt.resize(12);
for (int i = 0; i < 12; i++) {
for (int j = 0; j < 6; j++) {
if (types[j] == s[i]) tt[i] = j;
}
}
state st;
for (int i = 0;i < 6; i++) st.x[i] = 0;
auto res = go(st, 0);
cout << (res == 1 ? "Alice" : "Bob");
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 100ms
memory: 21684kb
input:
BBAARRCCQQMM
output:
Bob
result:
ok single line: 'Bob'
Test #2:
score: 0
Accepted
time: 5ms
memory: 4980kb
input:
BAMBAMQQRCCR
output:
Alice
result:
ok single line: 'Alice'
Test #3:
score: 0
Accepted
time: 3ms
memory: 4260kb
input:
QQRAACMRMCBB
output:
Alice
result:
ok single line: 'Alice'
Test #4:
score: 0
Accepted
time: 4ms
memory: 5896kb
input:
MBBARQRMACQC
output:
Alice
result:
ok single line: 'Alice'
Test #5:
score: 0
Accepted
time: 2ms
memory: 4176kb
input:
ACQCMQRBBRMA
output:
Alice
result:
ok single line: 'Alice'
Test #6:
score: 0
Accepted
time: 0ms
memory: 4888kb
input:
MRCMABRQCQAB
output:
Alice
result:
ok single line: 'Alice'
Test #7:
score: 0
Accepted
time: 9ms
memory: 6216kb
input:
BBRCMMQAAQRC
output:
Alice
result:
ok single line: 'Alice'
Test #8:
score: 0
Accepted
time: 4ms
memory: 5536kb
input:
RRMCQMACABQB
output:
Alice
result:
ok single line: 'Alice'
Test #9:
score: 0
Accepted
time: 7ms
memory: 5304kb
input:
QMQBMRBACACR
output:
Alice
result:
ok single line: 'Alice'
Test #10:
score: 0
Accepted
time: 5ms
memory: 4744kb
input:
CMRQAQCBBRAM
output:
Alice
result:
ok single line: 'Alice'
Test #11:
score: 0
Accepted
time: 10ms
memory: 7164kb
input:
CABCRQMMRQAB
output:
Alice
result:
ok single line: 'Alice'
Test #12:
score: 0
Accepted
time: 33ms
memory: 11216kb
input:
ARCBBCMQRAQM
output:
Alice
result:
ok single line: 'Alice'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3948kb
input:
ARCMCARMQBBQ
output:
Alice
result:
ok single line: 'Alice'
Test #14:
score: 0
Accepted
time: 22ms
memory: 9004kb
input:
AQABMCQCMRRB
output:
Bob
result:
ok single line: 'Bob'
Test #15:
score: 0
Accepted
time: 5ms
memory: 4976kb
input:
ACMRABRQMCBQ
output:
Alice
result:
ok single line: 'Alice'
Test #16:
score: 0
Accepted
time: 25ms
memory: 9948kb
input:
CBARMBCQMQAR
output:
Bob
result:
ok single line: 'Bob'
Test #17:
score: 0
Accepted
time: 28ms
memory: 11468kb
input:
RBABRQMCAMQC
output:
Bob
result:
ok single line: 'Bob'
Test #18:
score: 0
Accepted
time: 2ms
memory: 4176kb
input:
MBCQBQARRMCA
output:
Alice
result:
ok single line: 'Alice'
Test #19:
score: 0
Accepted
time: 20ms
memory: 8128kb
input:
AMBQRBCQACMR
output:
Bob
result:
ok single line: 'Bob'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3932kb
input:
QRAMQMBBCRAC
output:
Alice
result:
ok single line: 'Alice'
Test #21:
score: 0
Accepted
time: 0ms
memory: 4592kb
input:
ARBCQMMBARQC
output:
Alice
result:
ok single line: 'Alice'
Test #22:
score: 0
Accepted
time: 48ms
memory: 14064kb
input:
CACAMBRQQRBM
output:
Bob
result:
ok single line: 'Bob'
Test #23:
score: 0
Accepted
time: 16ms
memory: 8292kb
input:
CQRRMMBQABCA
output:
Bob
result:
ok single line: 'Bob'
Test #24:
score: 0
Accepted
time: 20ms
memory: 8676kb
input:
ABABCQRMMCRQ
output:
Alice
result:
ok single line: 'Alice'
Test #25:
score: 0
Accepted
time: 11ms
memory: 6660kb
input:
CMBRAAQRQMBC
output:
Bob
result:
ok single line: 'Bob'
Test #26:
score: 0
Accepted
time: 2ms
memory: 4020kb
input:
AQBMRMQRBACC
output:
Alice
result:
ok single line: 'Alice'
Test #27:
score: 0
Accepted
time: 16ms
memory: 7608kb
input:
BRACQQMCAMBR
output:
Bob
result:
ok single line: 'Bob'
Test #28:
score: 0
Accepted
time: 4ms
memory: 4776kb
input:
MCCAQBMQRABR
output:
Bob
result:
ok single line: 'Bob'
Test #29:
score: 0
Accepted
time: 20ms
memory: 10004kb
input:
RBQBCRAACMQM
output:
Bob
result:
ok single line: 'Bob'
Test #30:
score: 0
Accepted
time: 9ms
memory: 5932kb
input:
ACRQARMBBQMC
output:
Bob
result:
ok single line: 'Bob'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
MRCQBCBQRMAA
output:
Alice
result:
ok single line: 'Alice'
Test #32:
score: 0
Accepted
time: 11ms
memory: 6196kb
input:
ACRQQCMMBBAR
output:
Bob
result:
ok single line: 'Bob'
Test #33:
score: 0
Accepted
time: 2ms
memory: 5040kb
input:
MMACQBRQABRC
output:
Bob
result:
ok single line: 'Bob'
Test #34:
score: 0
Accepted
time: 0ms
memory: 4232kb
input:
QACMQABRMCBR
output:
Alice
result:
ok single line: 'Alice'
Test #35:
score: 0
Accepted
time: 5ms
memory: 6116kb
input:
ACAQRCMRMBQB
output:
Alice
result:
ok single line: 'Alice'
Test #36:
score: 0
Accepted
time: 15ms
memory: 7756kb
input:
RABQCQMCABMR
output:
Bob
result:
ok single line: 'Bob'
Test #37:
score: 0
Accepted
time: 6ms
memory: 5088kb
input:
QQBARCRBMMAC
output:
Alice
result:
ok single line: 'Alice'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
RQMRQABCABCM
output:
Alice
result:
ok single line: 'Alice'
Test #39:
score: 0
Accepted
time: 3ms
memory: 4492kb
input:
RQAMBRQCCBMA
output:
Alice
result:
ok single line: 'Alice'
Test #40:
score: 0
Accepted
time: 2ms
memory: 3988kb
input:
QQBACMARMRBC
output:
Alice
result:
ok single line: 'Alice'
Test #41:
score: 0
Accepted
time: 5ms
memory: 5948kb
input:
QAQCRRAMMCBB
output:
Alice
result:
ok single line: 'Alice'
Test #42:
score: 0
Accepted
time: 3ms
memory: 5340kb
input:
QQBMCBRARMAC
output:
Bob
result:
ok single line: 'Bob'
Test #43:
score: 0
Accepted
time: 68ms
memory: 18160kb
input:
BABARRCCQQMM
output:
Bob
result:
ok single line: 'Bob'
Test #44:
score: 0
Accepted
time: 452ms
memory: 60080kb
input:
BBARARCCQQMM
output:
Alice
result:
ok single line: 'Alice'
Test #45:
score: 0
Accepted
time: 35ms
memory: 11900kb
input:
BBAARCRCQQMM
output:
Alice
result:
ok single line: 'Alice'
Test #46:
score: 0
Accepted
time: 121ms
memory: 26392kb
input:
BBAARRCQCQMM
output:
Bob
result:
ok single line: 'Bob'
Test #47:
score: 0
Accepted
time: 97ms
memory: 21640kb
input:
BBAARRCCQMQM
output:
Bob
result:
ok single line: 'Bob'
Test #48:
score: 0
Accepted
time: 295ms
memory: 49296kb
input:
BBAACCRQMQRM
output:
Bob
result:
ok single line: 'Bob'
Test #49:
score: 0
Accepted
time: 380ms
memory: 62328kb
input:
BACBACQRRQMM
output:
Bob
result:
ok single line: 'Bob'
Test #50:
score: 0
Accepted
time: 1020ms
memory: 132104kb
input:
RAABBRCCQQMM
output:
Bob
result:
ok single line: 'Bob'
Test #51:
score: 0
Accepted
time: 52ms
memory: 15068kb
input:
RABRBQMCACQM
output:
Bob
result:
ok single line: 'Bob'
Test #52:
score: 0
Accepted
time: 1ms
memory: 3916kb
input:
CMMQQABCRABR
output:
Alice
result:
ok single line: 'Alice'
Test #53:
score: 0
Accepted
time: 155ms
memory: 32076kb
input:
RBAABRCCQQMM
output:
Alice
result:
ok single line: 'Alice'
Extra Test:
score: 0
Extra Test Passed