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#include "abc.h"
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
// 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 ll LOG = 16, COLC = 27, ADD = 1, LOG2 = 20, SLOGA = LOG + LOG2, SLOGB = LOG2 * 2;
// Alice
int // returns la
alice(
/* in */ const int n,
/* in */ const char name[][5],
/* in */ const unsigned short num[],
/* out */ bool oa[]
) {
ll last = 0;
for (ll i = 0; i < n; i++) {
ll now = 0;
for (auto j : name[i]) {
if (j < 'a') {
break;
}
now *= COLC;
now += j - 'a' + ADD;
}
for (ll j = 0; j < LOG2; j++) {
oa[last] = now % 2;
now /= 2;
last++;
}
now = num[i];
for (ll j = 0; j < LOG; j++) {
oa[last] = now % 2;
now /= 2;
last++;
}
}
return last;
}
// Bob
int // returns lb
bob(
/* in */ const int m,
/* in */ const char s[][5],
/* in */ const char r[][5],
/* out */ bool ob[]
) {
ll last = 0;
for (ll i = 0; i < m; i++) {
ll now = 0;
for (auto j : s[i]) {
if (j < 'a') {
break;
}
now *= COLC;
now += j - 'a' + ADD;
}
for (ll j = 0; j < LOG2; j++) {
ob[last] = now % 2;
now /= 2;
last++;
}
now = 0;
for (auto j : r[i]) {
if (j < 'a') {
break;
}
now *= COLC;
now += j - 'a' + ADD;
}
for (ll j = 0; j < LOG2; j++) {
ob[last] = now % 2;
now /= 2;
last++;
}
}
return last;
}
pair<ll, ll> sum2(ll a, ll b, ll& last, int o[], int op[][2]) {
o[last] = OP_XOR;
op[last][0] = a;
op[last][1] = b;
last++;
o[last] = OP_AND;
op[last][0] = a;
op[last][1] = b;
last++;
return make_pair(last - 2, last - 1);
}
pair<ll, ll> sum3(ll a, ll b, ll c, ll& last, int o[], int op[][2]) {
auto[f, s] = sum2(a, b, last, o, op);
auto[f2, s2] = sum2(f, c, last, o, op);
o[last] = OP_OR;
op[last][0] = s;
op[last][1] = s2;
last++;
return make_pair(f2, last - 1);
}
vector<ll> sum(vector<ll> s1, vector<ll> s2, ll& last, int o[], int op[][2]) {
vector<ll> ans;
auto[f, s] = sum2(s1[0], s2[0], last, o, op);
ans.push_back(f);
ll per = s;
for (ll i = 1; i < LOG; i++) {
auto[f, s] = sum3(s1[i], s2[i], per, last, o, op);
ans.push_back(f);
per = s;
}
return ans;
}
ll check(vector<ll> fir, vector<ll> sec, ll& last, int o[], int op[][2]) {
ll n = fir.size();
for (ll i = 0; i < n; i++) {
o[last] = OP_EQUAL;
op[last][0] = fir[i];
op[last][1] = sec[i];
last++;
}
ll end = last - 1;
for (ll i = last - n; i != end; i++) {
o[last] = OP_AND;
op[last][0] = i;
op[last][1] = last - 1;
last++;
}
return last - 1;
}
// Circuit
int // returns l
circuit(
/* in */ const int la,
/* in */ const int lb,
/* out */ int o[],
/* out */ int op[][2],
/* out */ int oc[][16]
) {
ll n = la / SLOGA;
ll m = lb / SLOGB;
if (n == 0) {
return 0;
}
vector<vector<ll>> name(n), num(n), from(m), to(m);
vector<vector<ll>> nans(n);
ll last = 0;
for (ll i = 0; i < n; i++) {
for (ll j = 0; j < LOG2; j++) {
name[i].push_back(last);
last++;
}
for (ll j = 0; j < LOG; j++) {
num[i].push_back(last);
last++;
}
}
for (ll i = 0; i < m; i++) {
for (ll j = 0; j < LOG2; j++) {
from[i].push_back(last);
last++;
}
for (ll j = 0; j < LOG2; j++) {
to[i].push_back(last);
last++;
}
}
ll ZERO = last;
o[last] = OP_ZERO;
op[last][0] = 0;
op[last][1] = 1;
last++;
for (ll i = 0; i < m; i++) {
vector<ll> sall;
for (ll j = 0; j < n; j++) {
ll need = check(name[j], from[i], last, o, op);
vector<ll> nnum;
for (ll s = 0; s < LOG; s++) {
nnum.push_back(last);
o[last] = OP_AND;
op[last][0] = need;
op[last][1] = num[j][s];
last++;
}
if (sall.empty()) {
sall = nnum;
} else {
vector<ll> nsall;
for (ll s = 0; s < LOG; s++) {
nsall.push_back(last);
o[last] = OP_OR;
op[last][0] = sall[s];
op[last][1] = nnum[s];
last++;
}
sall = nsall;
}
}
for (ll j = 0; j < n; j++) {
ll need = check(name[j], to[i], last, o, op);
vector<ll> nnum;
for (ll s = 0; s < LOG; s++) {
nnum.push_back(last);
o[last] = OP_AND;
op[last][0] = need;
op[last][1] = sall[s];
last++;
}
if (nans[j].empty()) {
nans[j] = nnum;
} else {
nans[j] = sum(nans[j], nnum, last, o, op);
}
}
}
for (ll i = 0; i < n; i++) {
if (nans[i].empty()) {
nans[i].resize(LOG, ZERO);
}
for (ll s = 0; s < LOG; s++) {
oc[i][s] = nans[i][s];
}
}
return last;
}
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