#include <bits/stdc++.h>
// #include <unistd.h>
#define fi first
#define se second
#define ssize(x) int(x.size())
#define all(x) x.begin(),x.end()
#define V vector
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
int mod = 1e09+7;
int add(int a, int b) { return a+b >= mod ? a+b-mod : a+b; }
int sub(int a, int b) { return add(mod-b, a); }
int mul(int a, int b) { return int(a*ll(b)%mod); }
__int128_t fpow(__int128_t a, int b) {
__int128_t res = 1;
while (b) {
if (b & 1) res *= a;
b >>= 1, a *= a;
}
return res;
}
void answer(int n, int who) { // PAMIETAC O FLUSHU!
map<int, char> n_to_l = {{0, 'P'}, {1, 'K'}, {2, 'N'}};
map<char, int> l_to_n = {{'P', 0}, {'K', 1}, {'N', 2}};
map<pair<char, char>, int> delta_cnt = { // ja - first, drugi gracz - second
{{'P', 'K'}, 1}, {{'K', 'P'}, -1},
{{'K', 'N'}, 1}, {{'N', 'K'}, -1},
{{'N', 'P'}, 1}, {{'P', 'N'}, -1},
};
mt19937 rng(15050534); // rngesus :(((((((((((((((
V<V<int>> mask(2, V<int>(n));
for (int cnt = 0; cnt < 20; ++cnt)
for (int z = 0; z < 2; ++z)
for (int i = 0; i < n; ++i) mask[z][i] ^= rng() % 2;
string input; cin >> input;
V<int> a(n+1, 0), b(n+1, 0); a[n] = 1;
for (int i = 0; i < n; ++i) a[i] = int(input[i]-'0') ^ mask[who][i];
V<int> rounds = {0, 0};
int p_a = 0, p_b = 0, delta = 0;
int l_a = -1, l_b = -1;
__int128_t partial = 0;
int b_len = 103, t_len = 65, curr_len = 0; // 84 53, 19 12, 11 7, 3 2
__int128_t X = 0;
while (p_a < n || p_b < n) {
int r = rng() % 2;
++rounds[abs(delta)];
if (!delta) { // remis
if (curr_len) {
__int128_t x = (X / fpow(3, curr_len)) % 3;
char c = n_to_l[int(x)], c2;
cout << c; cout.flush(); cin >> c2;
// if (who == 0) fprintf(stderr, "%c\n", c);
partial += l_to_n[c2]*fpow(3, curr_len);
delta += delta_cnt[{c, c2}];
curr_len = (curr_len+1) % t_len;
if (!curr_len) {
for (int i = 0; i < b_len; ++i, partial >>= 1)
b[l_b+i] = int(partial & 1);
l_a = -1, l_b = -1;
}
}
else if (n - max(p_a, p_b) >= 3) {
if (n - max(p_a, p_b) < n / 2 && b_len == 103) b_len = 30, t_len = 19;
if (n - max(p_a, p_b) < b_len) b_len = 19, t_len = 12;
if (n - max(p_a, p_b) < b_len) b_len = 11, t_len = 7;
if (n - max(p_a, p_b) < b_len) b_len = 3, t_len = 2;
// if (who == 0) fprintf(stderr, "b\n");
l_a = p_a, l_b = p_b;
p_a += b_len, p_b += b_len;
X = 0;
for (int i = 0; i < b_len; ++i) X += (__int128_t(a[l_a+i]) << i);
// if (who == 0) fprintf(stderr, "X: %d\n", X);
__int128_t x = X % 3;
char c = n_to_l[int(x)], c2;
cout << c; cout.flush(); cin >> c2;
partial = l_to_n[c2];
delta += delta_cnt[{c, c2}];
curr_len = (curr_len+1) % t_len;
}
else {
// if (who == 0) fprintf(stderr, "c\n");
char c = (a[p_a] == r) ? 'P' : 'K', c2;
cout << c; cout.flush(); cin >> c2;
b[p_b] = (c2 == 'P') ? r : r^1;
p_a += (p_a < n), p_b += (p_b < n);
delta += delta_cnt[{c, c2}];
}
}
else if (delta == -1) { // ja przegrywam
if (p_a < p_b || (p_a == p_b && who == 0)) {
char c = (a[p_a] == r) ? 'P' : 'K';
delta += (c == 'P') ? 1 : 0;
cout << c; cout.flush();
cin >> c;
++p_a;
}
else {
cout << "P", cout.flush();
char c; cin >> c;
delta += (c == 'K') ? 1 : 0;
b[p_b++] = (c == 'P') ? r : (r^1);
}
}
else { // ja wygrywam
if (p_a > p_b || (p_a == p_b && who == 1)) {
cout << "K", cout.flush();
char c; cin >> c;
delta += (c == 'P') ? -1 : 0;
b[p_b++] = (c == 'P') ? r : (r^1);
}
else {
char c = (a[p_a] == r) ? 'P' : 'K';
delta += (c == 'K') ? -1 : 0;
cout << c; cout.flush();
cin >> c;
++p_a;
}
}
assert(abs(delta) < 2);
}
// if (who == 0) fprintf(stderr, "END\n");
// if (who == 0) fprintf(stderr, "%d %d %lf\n", rounds[0], rounds[1], rounds[0]*double(2*b_len)/t_len + rounds[1]);
while (curr_len) {
char c, c2;
if (delta == -1)
cout << 'P', cout.flush(), cin >> c, ++delta;
else if (delta == 1)
cout << 'K', cout.flush(), cin >> c, --delta;
__int128_t x = (X / fpow(3, curr_len)) % 3;
c = n_to_l[int(x)];
cout << c; cout.flush(); cin >> c2;
partial += l_to_n[c2]*fpow(3, curr_len);
delta += delta_cnt[{c, c2}];
curr_len = (curr_len+1) % t_len;
if (!curr_len) {
for (int i = 0; i < b_len; ++i, partial >>= 1)
b[l_b+i] = int(partial & 1);
l_a = -1, l_b = -1;
}
}
// if (who == 1) usleep(5000), fprintf(stderr, "Bajtek:\n");
// else fprintf(stderr, "Algosia:\n");
// for (int i = 0; i < n; ++i) fprintf(stderr, "%d", a[i]);
// fprintf(stderr, "\n");
// for (int i = 0; i < n; ++i) fprintf(stderr, "%d", b[i]);
// fprintf(stderr, "\n");
cout << "! ";
for (int i = 0; i < n; ++i) cout << (b[i] ^ mask[who^1][i]);
// cout << endl;
cout.flush();
}
int main() {
// ios_base::sync_with_stdio(0); cin.tie(0);
string str; cin >> str;
int T = 1, n; cin >> n >> T;
for (++T; --T; ) answer(n, (str[0] == 'A') ? 0 : 1);
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 | #include <bits/stdc++.h> // #include <unistd.h> #define fi first #define se second #define ssize(x) int(x.size()) #define all(x) x.begin(),x.end() #define V vector using namespace std; typedef long long ll; typedef pair<int, int> pii; int mod = 1e09+7; int add(int a, int b) { return a+b >= mod ? a+b-mod : a+b; } int sub(int a, int b) { return add(mod-b, a); } int mul(int a, int b) { return int(a*ll(b)%mod); } __int128_t fpow(__int128_t a, int b) { __int128_t res = 1; while (b) { if (b & 1) res *= a; b >>= 1, a *= a; } return res; } void answer(int n, int who) { // PAMIETAC O FLUSHU! map<int, char> n_to_l = {{0, 'P'}, {1, 'K'}, {2, 'N'}}; map<char, int> l_to_n = {{'P', 0}, {'K', 1}, {'N', 2}}; map<pair<char, char>, int> delta_cnt = { // ja - first, drugi gracz - second {{'P', 'K'}, 1}, {{'K', 'P'}, -1}, {{'K', 'N'}, 1}, {{'N', 'K'}, -1}, {{'N', 'P'}, 1}, {{'P', 'N'}, -1}, }; mt19937 rng(15050534); // rngesus :((((((((((((((( V<V<int>> mask(2, V<int>(n)); for (int cnt = 0; cnt < 20; ++cnt) for (int z = 0; z < 2; ++z) for (int i = 0; i < n; ++i) mask[z][i] ^= rng() % 2; string input; cin >> input; V<int> a(n+1, 0), b(n+1, 0); a[n] = 1; for (int i = 0; i < n; ++i) a[i] = int(input[i]-'0') ^ mask[who][i]; V<int> rounds = {0, 0}; int p_a = 0, p_b = 0, delta = 0; int l_a = -1, l_b = -1; __int128_t partial = 0; int b_len = 103, t_len = 65, curr_len = 0; // 84 53, 19 12, 11 7, 3 2 __int128_t X = 0; while (p_a < n || p_b < n) { int r = rng() % 2; ++rounds[abs(delta)]; if (!delta) { // remis if (curr_len) { __int128_t x = (X / fpow(3, curr_len)) % 3; char c = n_to_l[int(x)], c2; cout << c; cout.flush(); cin >> c2; // if (who == 0) fprintf(stderr, "%c\n", c); partial += l_to_n[c2]*fpow(3, curr_len); delta += delta_cnt[{c, c2}]; curr_len = (curr_len+1) % t_len; if (!curr_len) { for (int i = 0; i < b_len; ++i, partial >>= 1) b[l_b+i] = int(partial & 1); l_a = -1, l_b = -1; } } else if (n - max(p_a, p_b) >= 3) { if (n - max(p_a, p_b) < n / 2 && b_len == 103) b_len = 30, t_len = 19; if (n - max(p_a, p_b) < b_len) b_len = 19, t_len = 12; if (n - max(p_a, p_b) < b_len) b_len = 11, t_len = 7; if (n - max(p_a, p_b) < b_len) b_len = 3, t_len = 2; // if (who == 0) fprintf(stderr, "b\n"); l_a = p_a, l_b = p_b; p_a += b_len, p_b += b_len; X = 0; for (int i = 0; i < b_len; ++i) X += (__int128_t(a[l_a+i]) << i); // if (who == 0) fprintf(stderr, "X: %d\n", X); __int128_t x = X % 3; char c = n_to_l[int(x)], c2; cout << c; cout.flush(); cin >> c2; partial = l_to_n[c2]; delta += delta_cnt[{c, c2}]; curr_len = (curr_len+1) % t_len; } else { // if (who == 0) fprintf(stderr, "c\n"); char c = (a[p_a] == r) ? 'P' : 'K', c2; cout << c; cout.flush(); cin >> c2; b[p_b] = (c2 == 'P') ? r : r^1; p_a += (p_a < n), p_b += (p_b < n); delta += delta_cnt[{c, c2}]; } } else if (delta == -1) { // ja przegrywam if (p_a < p_b || (p_a == p_b && who == 0)) { char c = (a[p_a] == r) ? 'P' : 'K'; delta += (c == 'P') ? 1 : 0; cout << c; cout.flush(); cin >> c; ++p_a; } else { cout << "P", cout.flush(); char c; cin >> c; delta += (c == 'K') ? 1 : 0; b[p_b++] = (c == 'P') ? r : (r^1); } } else { // ja wygrywam if (p_a > p_b || (p_a == p_b && who == 1)) { cout << "K", cout.flush(); char c; cin >> c; delta += (c == 'P') ? -1 : 0; b[p_b++] = (c == 'P') ? r : (r^1); } else { char c = (a[p_a] == r) ? 'P' : 'K'; delta += (c == 'K') ? -1 : 0; cout << c; cout.flush(); cin >> c; ++p_a; } } assert(abs(delta) < 2); } // if (who == 0) fprintf(stderr, "END\n"); // if (who == 0) fprintf(stderr, "%d %d %lf\n", rounds[0], rounds[1], rounds[0]*double(2*b_len)/t_len + rounds[1]); while (curr_len) { char c, c2; if (delta == -1) cout << 'P', cout.flush(), cin >> c, ++delta; else if (delta == 1) cout << 'K', cout.flush(), cin >> c, --delta; __int128_t x = (X / fpow(3, curr_len)) % 3; c = n_to_l[int(x)]; cout << c; cout.flush(); cin >> c2; partial += l_to_n[c2]*fpow(3, curr_len); delta += delta_cnt[{c, c2}]; curr_len = (curr_len+1) % t_len; if (!curr_len) { for (int i = 0; i < b_len; ++i, partial >>= 1) b[l_b+i] = int(partial & 1); l_a = -1, l_b = -1; } } // if (who == 1) usleep(5000), fprintf(stderr, "Bajtek:\n"); // else fprintf(stderr, "Algosia:\n"); // for (int i = 0; i < n; ++i) fprintf(stderr, "%d", a[i]); // fprintf(stderr, "\n"); // for (int i = 0; i < n; ++i) fprintf(stderr, "%d", b[i]); // fprintf(stderr, "\n"); cout << "! "; for (int i = 0; i < n; ++i) cout << (b[i] ^ mask[who^1][i]); // cout << endl; cout.flush(); } int main() { // ios_base::sync_with_stdio(0); cin.tie(0); string str; cin >> str; int T = 1, n; cin >> n >> T; for (++T; --T; ) answer(n, (str[0] == 'A') ? 0 : 1); return 0; } |
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