Submission #1041901

#	Time	Username	Problem	Language	Result	Execution time	Memory
1041901		eitanelb	Alice, Bob, and Circuit (APIO23_abc)	C++17	62 / 100	53 ms	11480 KiB

abc

#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
#include<bits/stdc++.h>
using namespace std;
#define pi pair<int,int>
#define x first
#define y second
int rt(int n){
    int i=0; while(i*i < n)i++;
    return i;
}
void write_num(bool * p, int num, int len){
    for(int i=0;i<len;i++){
        p[i] = num&1;
        num>>=1;
    }
}

// Alice
int // returns la
alice(
    /*  in */ const int n,
    /*  in */ const char names[][5],
    /*  in */ const unsigned short numbers[],
    /* out */ bool outputs_alice[]
) {
    map<string,int> mp;
    for(int i=0;i<n;i++){
        mp[names[i]]=0;
    }
    int z=0; for(auto it : mp) mp[it.x] = z++;
    //outputs_alice[0] = 0;
    for(int i=0;i<n;i++) write_num(outputs_alice+16*i, numbers[i],16);
    outputs_alice+=16*n;
    for(int i=0;i<n;i++) write_num(outputs_alice+5*i, mp[names[i]],5);
    //outputs_alice[1] = 0;
    return 21*n;
}


// Bob
int // returns lb
bob(
    /*  in */ const int m,
    /*  in */ const char senders[][5],
    /*  in */ const char recipients[][5],
    /* out */ bool outputs_bob[]
) {
    map<string,int> mp;
    for(int i=0;i<m;i++){
        string s = senders[i]; mp[s]=0;
        s=recipients[i]; mp[s]=0;
    }
    int z=0; for(auto it : mp) mp[it.x] = z++;
    int n=z;
    vector<vector<bool>> v(n,vector<bool>(n,0));
    for(int i=0;i<m;i++){
        v[mp[senders[i]]][mp[recipients[i]]]=1;
    }
    for(int i=0;i<n*n;i++){
        outputs_bob[i]=v[i/n][i%n];
    }
    return n*n;
}

int * gate_op;
//auto gate_opnds;

int e;
pi ha(int a, int b,int gate_opnds[][2]){
    int s = e;
    gate_op[e]=OP_XOR; gate_opnds[e][0]=a; gate_opnds[e][1]=b; e++;
    int c = e;
    gate_op[e]=OP_AND; gate_opnds[e][0]=a; gate_opnds[e][1]=b; e++;
    return {s,c};
}
pi fa(int a, int b, int c,int gate_opnds[][2]){
    gate_op[e]=OP_XOR; gate_opnds[e][0]=a; gate_opnds[e][1]=b; e++;
    int s=e;
    gate_op[e]=OP_XOR; gate_opnds[e][0]=e-1; gate_opnds[e][1]=c; e++;
    
    gate_op[e]=OP_AND; gate_opnds[e][0]=a; gate_opnds[e][1]=b; e++;
    gate_op[e]=OP_AND; gate_opnds[e][0]=e-3; gate_opnds[e][1]=c; e++;
    int ca = e;
    gate_op[e]=OP_OR; gate_opnds[e][0]=e-1; gate_opnds[e][1]=e-2; e++;
    return {s,ca};
}

vector<int> add(vector<int> a, vector<int> b, int op[][2]){
    vector<int> c(16);
    pi p = ha(a[0],b[0],op);
    c[0]=p.x;
    int u=p.y;
    for(int i=1;i<16;i++){
        p = fa(a[i],b[i],u,op);
        c[i]=p.x;
        u=p.y;
    }
    return c;
}
vector<int> do_all(vector<int> a, vector<int> b, int op[][2], int operat, int len){
    vector<int> c(len);
    for(int i=0;i<len;i++){
        c[i]=e;
        gate_op[e]=operat; op[e][0]=a[i]; op[e][1]=b[i]; e++;
    }
    return c;
}
int reduce(vector<int> a, int op[][2], int operat,int len){
    int r = a[0];
    for(int i=1;i<len;i++){
        gate_op[e]=operat; op[e][0]=a[i]; op[e][1]=r; r=e; e++;
    }
    return r;
}
// 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]
) {
    //auto gate_opnds=operands;
    gate_op=operations;
    e = la+lb;
    int zero=e;
    operations[e]=0; operands[e][0]=operands[e][1]=0; e++;
    int one=e;
    operations[e]=15; operands[e][0]=operands[e][1]=0; e++;
    
    int n = la/21, z=16*n;
    
    vector<vector<int>> sn(n);
    for(int i=0;i<n;i++){
        vector<int> cur(16,zero);
        vector<int> nmi(5);for(int k=0;k<5;k++) nmi[k]=(i&(1<<k)) ? one : zero;
        for(int j=0;j<n;j++){
            vector<int> nmj(5); for(int k=0;k<5;k++) nmj[k]=z+5*j+k;
            
            vector<int> same = do_all(nmi,nmj,operands,OP_EQUAL,5);
            int sa = reduce(same,operands,OP_AND,5);
            vector<int> mul(16,sa);
            vector<int> numj(16); for(int u=0;u<16;u++) numj[u]=16*j+u;
            vector<int> to_add = do_all(mul,numj,operands,OP_AND,16);
            cur = add(cur,to_add,operands);
        }
        sn[i]=cur;
    }
    
    vector<vector<int>> curs(n);
    for(int i=0;i<n;i++){
        vector<int> cur(16,zero);
        for(int j=0;j<n;j++){
            vector<int> mul(16,la + n*j+i);
            //vector<int> numj(16); for(int u=0;u<16;u++) numj[u]=16*j+u;
            vector<int> numj = sn[j];
            vector<int> to_add = do_all(mul, numj, operands,OP_AND,16);
            cur = add(cur,to_add,operands);
        }
        curs[i]=cur;
    }
    
    for(int i=0;i<n;i++){
        vector<int> cur(16,zero);
        vector<int> nmi(5); for(int k=0;k<5;k++) nmi[k]=z+5*i+k;
        for(int j=0;j<n;j++){
            vector<int> nmj(5);for(int k=0;k<5;k++) nmj[k]=(j&(1<<k)) ? one : zero;
            vector<int> same = do_all(nmi,nmj,operands,OP_EQUAL,5);
            int sa = reduce(same,operands,OP_AND,5);
            vector<int> mul(16,sa);
            vector<int> to_add = do_all(mul,curs[j],operands,OP_AND,16);
            cur = add(cur,to_add,operands);
        }
        for(int j=0;j<16;j++) outputs_circuit[i][j] = cur[j];
    }
    
    return e;
}

• Subtask 1: 4 / 4
• Subtask 2: 4 / 4
• Subtask 3: 0 / 4
• Subtask 4: 24 / 24
• Subtask 5: 24 / 24
• Subtask 6: 6 / 6
• Subtask 7: 0 / 18
• Subtask 8: 0 / 10
• Subtask 9: 0 / 6