// #include <unistd.h>
#include <algorithm>
#include <iostream>
#include <vector>
#include <deque>
#include <list>
#include <cassert>
using namespace std;
#define LOG(x) ;//{x; cerr.flush();}
#define FOR(i, n) for(int i = 0, __n = (n); i < __n; i++)
#include <vector>
#include <string>
#include <algorithm>
#include <cstdint>
const uint64_t xork[2] { 0xD1B54A32D192ED03ULL, 0xA3C6EF372FE94F82ULL };
string xorkey(const string& s, uint64_t key) {
string out = s;
for (int i = 0; i < (int)s.size(); i++) {
bool bit = ( key >> (i % 64)) & 1;
bool val = s[i] - '0';
out[i] = char('0' + (bit != val));
}
return out;
}
char buff[10000];
char coded[3] = {'N', 'K', 'P'};
char code(int x) {
return coded[x];
}
int decode(char x) {
FOR(i,3) if (coded[i] == x) return i;
}
int comp(int a, int b) {
if(a == b) return 0;
if((a + 1) % 3 == b) return -1;
return 1;
}
pair<int, int> go(int p) {
printf("%c\n", code(p));
fflush(stdout);
scanf("%s", buff);
int p2 = decode(buff[0]);
return {p2, comp(p, p2)};
}
class Binary {
// LSB first: bits[0] = najmłodszy bit
deque<int8_t> bits;
public:
Binary() {}
Binary(const string& s){
bits.resize(s.size());
for(size_t i = 0; i < s.size(); ++i) {
bits[i] = s[s.size() - 1 - i] - '0';
}
trim();
}
void mul2_add(int add) {
bits.push_front(add);
}
int div2() {
if(bits.empty()) return 0;
char res = bits.front();
bits.pop_front();
return res;
}
void mul3_add(int add) {
int carry = add;
FOR(i, bits.size()) {
int cur = carry + bits[i]*3;
bits[i] = cur % 2;
carry = cur / 2;
}
while(carry) {
bits.push_back(carry % 2);
carry /= 2;
}
}
int div3() {
if(bits.empty()) return 0;
int rem = 0;
for (int i = bits.size()-1; i >= 0; i--) {
int cur = rem * 2 + bits[i];
bits[i] = cur / 3;
rem = cur % 3;
}
trim();
return rem;
}
void trim() {
while (!bits.empty() && bits.back() == 0) bits.pop_back();
}
string to_string() const {
if(bits.empty()) return "";
string res;
for (size_t i = 0; i < bits.size(); ++i) {
res.push_back(bits[bits.size() - 1 - i] + '0');
}
return res;
}
size_t size() const {
return bits.size();
}
void add(const Binary& other) {
int carry = 0;
size_t n = max(bits.size(), other.bits.size());
bits.resize(n, 0);
FOR(i, n) {
int cur = bits[i] + (i < other.bits.size() ? other.bits[i] : 0) + carry;
bits[i] = cur % 2;
carry = cur / 2;
}
if(carry) bits.push_back(carry);
}
};
class Code {
int n;
Binary A;
Binary lim;
public:
Code(const string& s): A(s), lim("1"), n(s.size()) {
}
Code(int n):n(n), A(""), lim("1") {
}
int code3() {
lim.mul3_add(0);
return A.div3();
}
int code2() {
lim.mul2_add(0);
return A.div2();
}
void decode3(int p) {
FOR(i, p) {
A.add(lim);
}
lim.mul3_add(0);
}
void decode2(int p) {
FOR(i, p) {
A.add(lim);
}
lim.mul2_add(0);
}
int remaining() const {
if(lim.size() >= n+1) return 0;
else return n + 1 - lim.size();
}
const Binary & value() const {
return A;
}
const Binary & mult() const {
return lim;
}
string to_string() const {
return A.to_string() + "/" + lim.to_string();
}
};
// const int MAGIC3 = 157;
// const int MAGIC2 = 100;
int main() {
scanf("%s", buff);
int player = (buff[0]=='B');
int n, t;
scanf("%d%d", &n, &t);
FOR(test, t) {
LOG(cerr << "Player" << player << ": test" << test << endl;)
scanf("%s", buff);
int result = 0;
int ap = 0, bp = 0;
string inp(buff);
inp = xorkey(inp,xork[player]);
Code A = inp;
Code B(n);
int step = 0; int step2 = 0, step3 = 0;
while(A.remaining() > 0 || B.remaining() > 0) {
LOG(cerr << "P" << player << " r" << result << " = " << A.to_string() << " " << B.to_string() << endl;)
if (result == 0) {
int p = A.code3();
// LOG(cerr << player << ":code3 " << p << endl;)
if (player) p = (p + step3%3)%3;
auto [p2, res] = go(p);
if (!player) p2 = (p2 + 3 - step3%3)%3;
result += res;
B.decode3(p2);
step3++;
} else {
if((A.remaining() < B.remaining()) || (player == 0 && A.remaining() == B.remaining() )) {
// LOG(cerr << player << ":code2 me " << endl;)
auto [p2, res] = result > 0 ? go(0) : go(1);
// jeśli wynik jest dodatni, to chcemy przegrać, więc wysyłamy 0, jeśli ujemny, to chcemy wygrać, więc wysyłamy 1
result += res;
if(step2 & 1) p2 = 1 - p2; // optimizer
B.decode2(p2);
} else {
int p = A.code2();
if(step2 & 1) p = 1 - p; // optimizer
// LOG(cerr << player <<":code2 you " << p << endl;)
auto [p2, res] = go(p);
result += res;
}
step2++;
}
// LOG(if(player== 0) {
// cerr << "[" << player << "] " << result << A.remaining() << " " << B.remaining() << " " << A.to_string() << "<>" << B.to_string() << endl;
// })
step ++;
}
LOG(cerr << "P" << player << " r" << result << " = " << A.to_string() << " " << B.to_string() << endl;)
string sB = B.value().to_string();
sB = string(n - sB.size(), '0') + sB;
sB = xorkey(sB, xork[!player]);
printf("! %s\n", sB.c_str());
fflush(stdout);
// cerr<< "! " << step << " " << step2 << " " << step3 << " " << step2 + step3*1.58 << endl;
// cerr.flush();
// usleep(20000);
cerr << step << endl; cerr.flush();
}
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 | // #include <unistd.h> #include <algorithm> #include <iostream> #include <vector> #include <deque> #include <list> #include <cassert> using namespace std; #define LOG(x) ;//{x; cerr.flush();} #define FOR(i, n) for(int i = 0, __n = (n); i < __n; i++) #include <vector> #include <string> #include <algorithm> #include <cstdint> const uint64_t xork[2] { 0xD1B54A32D192ED03ULL, 0xA3C6EF372FE94F82ULL }; string xorkey(const string& s, uint64_t key) { string out = s; for (int i = 0; i < (int)s.size(); i++) { bool bit = ( key >> (i % 64)) & 1; bool val = s[i] - '0'; out[i] = char('0' + (bit != val)); } return out; } char buff[10000]; char coded[3] = {'N', 'K', 'P'}; char code(int x) { return coded[x]; } int decode(char x) { FOR(i,3) if (coded[i] == x) return i; } int comp(int a, int b) { if(a == b) return 0; if((a + 1) % 3 == b) return -1; return 1; } pair<int, int> go(int p) { printf("%c\n", code(p)); fflush(stdout); scanf("%s", buff); int p2 = decode(buff[0]); return {p2, comp(p, p2)}; } class Binary { // LSB first: bits[0] = najmłodszy bit deque<int8_t> bits; public: Binary() {} Binary(const string& s){ bits.resize(s.size()); for(size_t i = 0; i < s.size(); ++i) { bits[i] = s[s.size() - 1 - i] - '0'; } trim(); } void mul2_add(int add) { bits.push_front(add); } int div2() { if(bits.empty()) return 0; char res = bits.front(); bits.pop_front(); return res; } void mul3_add(int add) { int carry = add; FOR(i, bits.size()) { int cur = carry + bits[i]*3; bits[i] = cur % 2; carry = cur / 2; } while(carry) { bits.push_back(carry % 2); carry /= 2; } } int div3() { if(bits.empty()) return 0; int rem = 0; for (int i = bits.size()-1; i >= 0; i--) { int cur = rem * 2 + bits[i]; bits[i] = cur / 3; rem = cur % 3; } trim(); return rem; } void trim() { while (!bits.empty() && bits.back() == 0) bits.pop_back(); } string to_string() const { if(bits.empty()) return ""; string res; for (size_t i = 0; i < bits.size(); ++i) { res.push_back(bits[bits.size() - 1 - i] + '0'); } return res; } size_t size() const { return bits.size(); } void add(const Binary& other) { int carry = 0; size_t n = max(bits.size(), other.bits.size()); bits.resize(n, 0); FOR(i, n) { int cur = bits[i] + (i < other.bits.size() ? other.bits[i] : 0) + carry; bits[i] = cur % 2; carry = cur / 2; } if(carry) bits.push_back(carry); } }; class Code { int n; Binary A; Binary lim; public: Code(const string& s): A(s), lim("1"), n(s.size()) { } Code(int n):n(n), A(""), lim("1") { } int code3() { lim.mul3_add(0); return A.div3(); } int code2() { lim.mul2_add(0); return A.div2(); } void decode3(int p) { FOR(i, p) { A.add(lim); } lim.mul3_add(0); } void decode2(int p) { FOR(i, p) { A.add(lim); } lim.mul2_add(0); } int remaining() const { if(lim.size() >= n+1) return 0; else return n + 1 - lim.size(); } const Binary & value() const { return A; } const Binary & mult() const { return lim; } string to_string() const { return A.to_string() + "/" + lim.to_string(); } }; // const int MAGIC3 = 157; // const int MAGIC2 = 100; int main() { scanf("%s", buff); int player = (buff[0]=='B'); int n, t; scanf("%d%d", &n, &t); FOR(test, t) { LOG(cerr << "Player" << player << ": test" << test << endl;) scanf("%s", buff); int result = 0; int ap = 0, bp = 0; string inp(buff); inp = xorkey(inp,xork[player]); Code A = inp; Code B(n); int step = 0; int step2 = 0, step3 = 0; while(A.remaining() > 0 || B.remaining() > 0) { LOG(cerr << "P" << player << " r" << result << " = " << A.to_string() << " " << B.to_string() << endl;) if (result == 0) { int p = A.code3(); // LOG(cerr << player << ":code3 " << p << endl;) if (player) p = (p + step3%3)%3; auto [p2, res] = go(p); if (!player) p2 = (p2 + 3 - step3%3)%3; result += res; B.decode3(p2); step3++; } else { if((A.remaining() < B.remaining()) || (player == 0 && A.remaining() == B.remaining() )) { // LOG(cerr << player << ":code2 me " << endl;) auto [p2, res] = result > 0 ? go(0) : go(1); // jeśli wynik jest dodatni, to chcemy przegrać, więc wysyłamy 0, jeśli ujemny, to chcemy wygrać, więc wysyłamy 1 result += res; if(step2 & 1) p2 = 1 - p2; // optimizer B.decode2(p2); } else { int p = A.code2(); if(step2 & 1) p = 1 - p; // optimizer // LOG(cerr << player <<":code2 you " << p << endl;) auto [p2, res] = go(p); result += res; } step2++; } // LOG(if(player== 0) { // cerr << "[" << player << "] " << result << A.remaining() << " " << B.remaining() << " " << A.to_string() << "<>" << B.to_string() << endl; // }) step ++; } LOG(cerr << "P" << player << " r" << result << " = " << A.to_string() << " " << B.to_string() << endl;) string sB = B.value().to_string(); sB = string(n - sB.size(), '0') + sB; sB = xorkey(sB, xork[!player]); printf("! %s\n", sB.c_str()); fflush(stdout); // cerr<< "! " << step << " " << step2 << " " << step3 << " " << step2 + step3*1.58 << endl; // cerr.flush(); // usleep(20000); cerr << step << endl; cerr.flush(); } return 0; } |
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