제출 #749718

#제출 시각아이디문제언어결과실행 시간메모리
749718Qwerty1232앨리스, 밥, 서킷 (APIO23_abc)C++17
66 / 100
592 ms493644 KiB
#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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