Submission #1176835

#TimeUsernameProblemLanguageResultExecution timeMemory
1176835thangdz2k7Alice, Bob, and Circuit (APIO23_abc)C++20
8 / 100
218 ms237512 KiB
#include <bits/stdc++.h> using namespace std; // 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 const int LG = 16; const int MAXN = 30; int alice( const int n, const char name[][5], const unsigned short numbers[], bool outputs_alice[] ) { map <string, int> hasher; for (int i = 0; i < n; ++ i) hasher[name[i]]; int cur = 0; for (auto &[x, y] : hasher) y = cur ++; for (int i = 0; i < n; ++ i){ for (int b = 0; b < LG; ++ b) outputs_alice[hasher[name[i]] * LG + b] = (numbers[i] >> b) & 1; } int l = n * LG; for (int i = 0; i < n; ++ i) outputs_alice[l + i * MAXN + hasher[name[i]]] = true; return l + MAXN * n; } int bob( const int m, const char senders[][5], const char recipients[][5], bool outputs_bob[] ) { map <string, int> hasher; for (int i = 0; i < m; ++ i) hasher[senders[i]] = hasher[recipients[i]]; int cur = 0; for (auto &[x, y] : hasher) y = cur ++; for (int i = 0; i < m; ++ i) outputs_bob[hasher[senders[i]] * MAXN + hasher[recipients[i]]] = true; return 900; } int circuit( const int la, const int lb, int operations[], int operands[][2], int outputs_circuit[][LG] ) { int l = la + lb - 1; int n = la / (LG + MAXN); auto calc = [&](int oper, int a, int b){ operations[++ l] = oper; operands[l][0] = a; operands[l][1] = b; return l; }; auto alloc = [&](){ vector <int> ans(LG); for (int i = 0; i < LG; ++ i) ans[i] = calc(OP_ZERO, 0, 0); return ans; }; auto add = [&](vector <int> a, vector <int> b){ vector <int> carry(LG); carry[0] = calc(OP_ZERO, 0, 0); vector <int> ans(LG); for (int i = 0; i < LG; ++ i){ ans[i] = calc(OP_XOR, calc(OP_XOR, a[i], b[i]), carry[i]); if (i == 15) continue; int tmp1 = calc(OP_AND, a[i], b[i]); tmp1 = calc(OP_OR, tmp1, calc(OP_AND, a[i], carry[i])); carry[i + 1] = calc(OP_OR, tmp1, calc(OP_AND, b[i], carry[i])); } return ans; }; auto condicop = [&](vector<int> a,int b){ for(int&i:a)i = calc(OP_AND,i,b); return a; }; auto OR = [&](vector<int> a,vector<int> b){ for(int i=0;i<a.size();i++)a[i]=calc(OP_OR,a[i],b[i]); return a; }; vector<vector<int>> ans(n,alloc()); vector<vector<int>> fav(n,vector<int>(16)); for(int i=0;i<n;i++)iota(fav[i].begin(), fav[i].end(),16*i); for(int receiver=0; receiver<n;receiver++){ for(int sender=0;sender<n;sender++){ ans[receiver] = add(ans[receiver],condicop(fav[sender],la+receiver*30+sender)); } } for(int i=0;i<n;i++){ vector<int> myans = alloc(); for(int j=0;j<n;j++){ myans = OR(myans,condicop(ans[j],16*n+30*i+j)); } for(int j = 0; j < 16; ++j)outputs_circuit[i][j] = myans[j]; } return l + 1; }
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