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Submission #756919

#TimeUsernameProblemLanguageResultExecution timeMemory
756919dooweyAlice, Bob, and Circuit (APIO23_abc)C++17
62 / 100
107 ms11580 KiB
#include "abc.h" #include <bits/stdc++.h> using namespace std; typedef pair<int, int> pii; #define fi first #define se second #define mp make_pair // 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 // Alice struct state{ string num; int numb; int idx; bool operator< (const state &si) const { return num < si.num; } }; int alice(const int n, const char names[][5],const unsigned short numbers[],bool outputs_alice[]) { vector<state> nums; for(int i = 0 ; i < n; i ++ ){ nums.push_back({names[i], numbers[i], i}); } sort(nums.begin(), nums.end()); int len = 0; for(int i = 0 ; i < n; i ++ ){ for(int j = 0 ; j < 16; j ++ ){ if((nums[i].numb & (1 << j))){ outputs_alice[len] = 1; } else{ outputs_alice[len] = 0; } len ++ ; } } int bi; for(int i = 0 ; i < n; i ++ ){ bi = 0; for(int j = 0 ; j + 1 < n; j ++ ){ if(nums[j].idx > nums[j + 1].idx){ bi = 1; swap(nums[j], nums[j + 1]); } else{ bi = 0; } outputs_alice[len] = bi; len ++ ; } } return len; } // Bob int bob(const int m, const char senders[][5], const char recipients[][5], bool outputs_bob[]) { vector<string> pp; for(int i = 0 ; i < m ; i ++ ){ pp.push_back(senders[i]); pp.push_back(recipients[i]); } sort(pp.begin(), pp.end()); pp.resize(unique(pp.begin(), pp.end()) - pp.begin()); int n = pp.size(); vector<vector<bool>> E(n); for(int i = 0 ; i < n ; i ++ ){ E[i].resize(n); } int iu, iv; for(int i = 0 ; i < m ; i ++ ){ string u = senders[i]; string v = recipients[i]; iu = lower_bound(pp.begin(), pp.end(), u) - pp.begin(); iv = lower_bound(pp.begin(), pp.end(), v) - pp.begin(); E[iu][iv] = true; } int idx = 0; for(int j = 0; j < n; j ++) { for(int i = 0 ; i < n ; i ++ ){ outputs_bob[idx] = E[i][j]; idx ++ ; } } return idx; } int circuit(const int la, const int lb, int operations[],int operands[][2], int outputs_circuit[][16]) { int st = la + lb; int n = 1; while(n * (n - 1) + 16 * n != la) n ++ ; int add; int edge = la; vector<vector<int>> E(n); vector<vector<int>> bubble(n); int bub = 16 * n; for(int i = 0 ; i < n; i ++ ){ E[i].resize(n); bubble[i].resize(n); for(int j = 0 ; j + 1 < n; j ++ ){ bubble[i][j] = bub; bub ++ ; } } for(int j = 0 ; j < n; j ++ ){ for(int i = 0 ; i < n; i ++ ){ E[i][j]=edge; edge++; } } int place; int n_add; for(int j = 0; j < n; j ++ ){ vector<int> ind; for(int bit = 0; bit < 16; bit ++ ){ place = st; st ++ ; operations[place] = 0; operands[place][0] = operands[place][1] = 0; ind.push_back(place); } for(int bit = 0; bit < 16; bit ++ ){ // do all additions FROM i-th person WITH bit-th bit for(int i = 0 ; i < n ; i ++ ){ add = st; st ++ ; operations[add] = 8; operands[add][0] = E[i][j]; operands[add][1] = i * 16 + bit; vector<int> nw = ind; for(int g = bit; g < 16; g ++ ){ place = st; st ++ ; operations[place] = 6; operands[place][0] = ind[g]; operands[place][1] = add; nw[g] = place; n_add = st; st ++ ; operations[n_add] = 8; operands[n_add][0] = ind[g]; operands[n_add][1] = add; add = n_add; } ind = nw; } } for(int b = 0; b < 16; b ++ ){ outputs_circuit[j][b]=ind[b]; } } int fW; int C; for(int i = 0 ; i < n; i ++ ){ for(int j = 0 ; j + 1 < n; j ++ ){ for(int b = 0; b < 16; b ++ ){ int W = st; st ++ ; operations[W] = 6; operands[W][0] = outputs_circuit[j][b]; operands[W][1] = outputs_circuit[j + 1][b]; fW = st; st ++ ; operations[fW] = 8; operands[fW][0] = W; operands[fW][1] = bubble[i][j]; C = st; st ++ ; operations[C] = 6; operands[C][0] = outputs_circuit[j][b]; operands[C][1] = fW; outputs_circuit[j][b] = C; C = st; st ++ ; operations[C] = 6; operands[C][0] = outputs_circuit[j + 1][b]; operands[C][1] = fW; outputs_circuit[j + 1][b] = C; } } } return st; }
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