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Submission #1076469

#TimeUsernameProblemLanguageResultExecution timeMemory
1076469noyancanturkAlice, Bob, and Circuit (APIO23_abc)C++17
36 / 100
388 ms493612 KiB
#include "abc.h" #include<bits/stdc++.h> using namespace std; #define pb push_back // 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 int // returns la alice( /* in */ const int n, /* in */ const char names[][5], /* in */ const unsigned short numbers[], /* out */ bool outputs_alice[] ) { int ind=0; for(int i=0;i<n;i++){ int val=0; int subind=0; while(names[i][subind]){ val*=26; val+=names[i][subind]-'a'; subind++; } for(int j=0;j<20;j++){ outputs_alice[ind++]=(val>>j)&1; } for(int j=0;j<16;j++){ outputs_alice[ind++]=(numbers[i]>>j)&1; } } return ind; } // Bob int // returns lb bob( /* in */ const int m, /* in */ const char senders[][5], /* in */ const char recipients[][5], /* out */ bool outputs_bob[] ) { int ind=0; for(int i=0;i<m;i++){ int val=0; int subind=0; while(senders[i][subind]){ val*=26; val+=senders[i][subind]-'a'; subind++; } for(int j=0;j<20;j++){ outputs_bob[ind++]=(val>>j)&1; } val=0; subind=0; while(recipients[i][subind]){ val*=26; val+=recipients[i][subind]-'a'; subind++; } for(int j=0;j<20;j++){ outputs_bob[ind++]=(val>>j)&1; } } return ind; } using str=array<int,20>; using lint=array<int,16>; // 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] ) { const int n=la/36,m=lb/40; int nextindex=la+lb; auto pushgate=[&](int g1,int g2,int op) -> int { operations[nextindex]=op; operands[nextindex][0]=g1; operands[nextindex][1]=g2; return nextindex++; }; auto sumgate=[&](lint&x,lint&y) -> lint { lint result; int past=-1; for(int i=0;i<16;i++){ int cur=pushgate(x[i],y[i],OP_XOR); int nextt=pushgate(x[i],y[i],OP_AND); if(i){ int nexttt=pushgate(cur,past,OP_AND); nextt=pushgate(nextt,nexttt,OP_OR); cur=pushgate(cur,past,OP_XOR); } result[i]=cur; past=nextt; } return result; }; auto createzeronum = [&]() -> lint { lint result; result[0]=pushgate(0,0,OP_ZERO); for(int i=1;i<16;i++){ result[i]=result[0]; } return result; }; auto check = [&](lint&target, int g) -> lint { lint result; for(int i=0;i<16;i++){ result[i]=pushgate(target[i],g,OP_AND); } return result; }; auto compare=[&](str&g1,str&g2)->int { int result=pushgate(g1[0],g2[0],OP_XOR); for(int i=1;i<20;i++){ int cur=pushgate(g1[i],g2[i],OP_XOR); result=pushgate(result,cur,OP_OR); } return pushgate(result,0,OP_NOT_X0); }; auto orgate=[&](lint&g1,lint&g2)->lint { lint result; for(int i=0;i<16;i++){ result[i]=pushgate(g1[i],g2[i],OP_OR); } return result; }; int last=0; str names[n]; lint nums[n]; for(int i=0;i<n;i++){ for(int j=0;j<20;j++){ names[i][j]=last++; } for(int j=0;j<16;j++){ nums[i][j]=last++; } } str from[m],to[m]; for(int i=0;i<m;i++){ for(int j=0;j<20;j++){ from[i][j]=last++; } for(int j=0;j<20;j++){ to[i][j]=last++; } } lint allzeros=createzeronum(); lint canget[m]; for(int i=0;i<m;i++){ canget[i]=allzeros; for(int j=0;j<n;j++){ lint toad=nums[j]; int cmp=compare(from[i],names[j]); toad=check(toad,cmp); canget[i]=orgate(canget[i],toad); } } lint ans[n]; for(int i=0;i<n;i++){ ans[i]=allzeros; for(int j=0;j<m;j++){ lint toad=canget[j]; int cmp=compare(to[j],names[i]); toad=check(toad,cmp); ans[i]=sumgate(ans[i],toad); } } for(int i=0;i<n;i++){ for(int j=0;j<16;j++){ outputs_circuit[i][j]=ans[i][j]; } } return nextindex; }
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