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#include <bits/stdc++.h>
#include "abc.h"
// you may find the definitions useful
const int OP_ZERO = 0; // f(OP_ZERO, x0, x1) = 0
const int OP_NOR = 1; // f(OP_NOR, x0, x1) = !(x0 || x1)
const int OP_GREATER = 2; // f(OP_GREATER, x0, x1) = (x0 > x1)
const int OP_NOT_X1 = 3; // f(OP_NOT_X1, x0, x1) = !x1
const int OP_LESS = 4; // f(OP_LESS, x0, x1) = (x0 < x1)
const int OP_NOT_X0 = 5; // f(OP_NOT_X0, x0, x1) = !x0
const int OP_XOR = 6; // f(OP_XOR, x0, x1) = (x0 ^ x1)
const int OP_NAND = 7; // f(OP_NAND, x0, x1) = !(x0 && x1)
const int OP_AND = 8; // f(OP_AND, x0, x1) = (x0 && x1)
const int OP_EQUAL = 9; // f(OP_EQUAL, x0, x1) = (x0 == x1)
const int OP_X0 = 10; // f(OP_X0, x0, x1) = x0
const int OP_GEQ = 11; // f(OP_GEQ, x0, x1) = (x0 >= x1)
const int OP_X1 = 12; // f(OP_X1, x0, x1) = x1
const int OP_LEQ = 13; // f(OP_LEQ, x0, x1) = (x0 <= x1)
const int OP_OR = 14; // f(OP_OR, x0, x1) = (x0 || x1)
const int OP_ONE = 15; // f(OP_ONE, x0, x1) = 1
constexpr int K = 16;
constexpr int S = 26;
constexpr int G = 20;
// Alice
int // returns la
alice(/* in */ const int n, /* in */ const char names[][5], /* in */ const unsigned short numbers[], /* out */ bool outputs_alice[]) {
// assert(n == 1);
for (int t = 0; t < n; t++) {
for (int i = 0; i < K; i++) {
outputs_alice[t * (K + G) + i] = (numbers[t] >> i) & 1;
}
for (int i = 0; i < G; i++) {
outputs_alice[t * (K + G) + K + i] = ((names[t][i / 5] - 'a') >> i % 5) & 1;
}
}
return n * (K + G);
}
// Bob
int // returns lb
bob(/* in */ const int m, /* in */ const char senders[][5], /* in */ const char recipients[][5], /* out */ bool outputs_bob[]) {
for (int i = 0; i < m; i++) {
for (int j = 0; j < G; j++) {
outputs_bob[i * 2 * G + j] = ((senders[i][j / 5] - 'a') >> j % 5) & 1;
}
for (int j = 0; j < G; j++) {
outputs_bob[i * 2 * G + G + j] = ((recipients[i][j / 5] - 'a') >> j % 5) & 1;
}
}
return 2 * m * G;
}
// Circuit
int // returns l
circuit(/* in */ const int la, /* in */ const int lb, /* out */ int operations[], /* out */ int operands[][2], /* out */ int outputs_circuit[][16]) {
int len = la + lb;
int n = la / (K + G);
int m = lb / (2 * G);
if (n == 0) {
return len;
}
// assert(lb == S * S);
auto add_op = [&](int op_code, int a, int b) {
assert(len < int(2e7));
operations[len] = op_code;
operands[len][0] = a;
operands[len][1] = b;
len++;
return len - 1;
};
auto make_cum = [&](std::vector<int> a, std::vector<int> b) -> std::vector<int> {
assert(a.size() == K);
assert(b.size() == K);
std::vector<int> res;
int carry = -1;
for (int i = 0; i < K; i++) {
if (carry == -1) {
res.push_back(add_op(OP_XOR, a[i], b[i]));
carry = add_op(OP_AND, a[i], b[i]);
} else {
int xx = add_op(OP_XOR, a[i], b[i]);
res.push_back(add_op(OP_XOR, xx, carry));
int ab = add_op(OP_AND, a[i], b[i]);
int ac = add_op(OP_AND, a[i], carry);
int bc = add_op(OP_AND, b[i], carry);
carry = add_op(OP_OR, bc, add_op(OP_OR, ab, ac));
}
}
return res;
};
std::vector<std::vector<int>> init(n, std::vector<int>(K));
std::vector<std::vector<int>> names(n, std::vector<int>(G));
for (int i = 0; i < n; i++) {
std::iota(init[i].begin(), init[i].end(), i * (K + G));
std::iota(names[i].begin(), names[i].end(), i * (K + G) + K);
}
std::vector<std::vector<int>> shit(m, std::vector<int>(2 * G));
for (int i = 0; i < m; i++) {
std::iota(shit[i].begin(), shit[i].end(), la + i * 2 * G);
}
std::vector<std::vector<int>> val(n, std::vector<int>(K, add_op(OP_ZERO, 0, 0)));
const int zero = add_op(OP_ZERO, 0, 0);
const int one = add_op(OP_ONE, 0, 0);
auto copy_if = [&](int b, std::vector<int> val) {
std::vector<int> copy(K);
for (int i = 0; i < K; i++) {
copy[i] = add_op(OP_AND, val[i], b);
}
return copy;
};
// auto _if = [&](int b, std::vector<int> val) {
// std::vector<int> copy(K);
// for (int i = 0; i < K; i++) {
// copy[i] = add_op(OP_AND, val[i], b);
// }
// return copy;
// };
for (int t = 0; t < m; t++) {
std::vector<int> fuck(K, zero);
for (int i = 0; i < n; i++) {
int eq = one;
for (int j = 0; j < G; j++) {
eq = add_op(OP_AND, eq, add_op(OP_EQUAL, names[i][j], shit[t][j]));
}
fuck = make_cum(fuck, copy_if(eq, init[i]));
}
for (int i = 0; i < n; i++) {
int eq = one;
for (int j = 0; j < G; j++) {
eq = add_op(OP_AND, eq, add_op(OP_EQUAL, names[i][j], shit[t][G + j]));
}
val[i] = make_cum(val[i], copy_if(eq, fuck));
}
}
for (int i = 0; i < n; i++) {
for (int j = 0; j < K; j++) {
outputs_circuit[i][j] = val[i][j];
}
}
return len;
}
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