Submission #769978

#	Time	Username	Problem	Language	Result	Execution time	Memory
769978		marvinthang	Alice, Bob, and Circuit (APIO23_abc)	C++17	100 / 100	515 ms	244984 KiB

abc

#include "abc.h"
#include <bits/stdc++.h>
 
using namespace std;
 
#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i--; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif
 
template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
template <class U, class V> bool maximize(U &a, V b) { if (a < b) { a = b; return true; } return false; }

using ii = pair <int, int>;

// end of template

// 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 LOG = 16;

int encode(const char name[5]) {
    int res = 0;
    REP(i, 4) {
        if (!name[i]) break;
        res = res * 26 + name[i] - 'a' + 1;
    }
    return res - 1;
}

vector <int> traceSwap(vector <int> a) {
    int n = a.size();
    if (n <= 1) return vector<int>();
    vector <int> pos(n);
    REP(i, n) pos[a[i]] = i;
    vector <int> swap_first((n + 1) / 2, -1);
    int m = n / 2;
    auto dfs = [&] (int u) {
        while (~u) {
            int nxt = -1;
            for (int f: {0, m}) {
                if (u == m && !f) continue;
                int x = a[u + f];
                if (x == m + m) continue;
                int v = pos[x < m ? x + m : x - m];
                int w = !f;
                if (v >= m) {
                    v -= m;
                    w ^= 1;
                }
                if (swap_first[v] == -1) {
                    swap_first[v] = swap_first[u] ^ w;
                    nxt = v;
                    break;
                }
            }
            u = nxt;
        }
    };
    if (n & 1) {
        swap_first[m] = 0;
        dfs(m);
        swap_first.pop_back();
    }
    REP(i, m) if (!~swap_first[i]) {
        swap_first[i] = 0;
        dfs(i);
    }
    REP(i, m) if (swap_first[i]) swap(a[i], a[i + m]);
    vector <int> swap_last(m);
    REP(i, m) if (a[i] >= m) {
        a[i] -= m;
        swap_last[a[i]] = 1;
    }
    transform(m + ALL(a), a.begin() + m, [&] (int x) { return x >= m ? x - m : x; });
    vector <int> swap_left = traceSwap(vector<int>(a.begin(), a.begin() + m));
    vector <int> swap_right = traceSwap(vector<int>(m + ALL(a)));
    swap_first.insert(swap_first.end(), ALL(swap_left));
    swap_first.insert(swap_first.end(), ALL(swap_right));
    swap_first.insert(swap_first.end(), ALL(swap_last));
    return swap_first;
}

// Alice
int // returns la
alice(
    /*  in */ const int n,
    /*  in */ const char names[][5],
    /*  in */ const unsigned short numbers[],
    /* out */ bool outputs_alice[]
) {
    int l = 0;
    auto send = [&] (int value, int num_bit) {
        REP(i, num_bit) outputs_alice[l++] = BIT(value, i);
    };
    vector <pair <int, int>> order;
    REP(i, n) order.emplace_back(encode(names[i]), i);
    sort(ALL(order));

    vector <int> perm;
    for (auto [v, i]: order) {
        send(v, 19);
        send(numbers[i], 16);
        perm.push_back(i);
    }
    for (int x: traceSwap(perm)) send(x, 1);
    return l;
}


// Bob
int // returns lb
bob(
    /*  in */ const int m,
    /*  in */ const char senders[][5],
    /*  in */ const char recipients[][5],
    /* out */ bool outputs_bob[]
) {
    int l = 0;
    auto send = [&] (int value, int num_bit) {
        REP(i, num_bit) outputs_bob[l++] = BIT(value, i);
    };
    vector <tuple <int, int, int>> order;
    REP(i, m) order.emplace_back(encode(recipients[i]), encode(senders[i]), -1);
    sort(ALL(order));
    REP(i, m) {
        swap(get<0>(order[i]), get<1>(order[i]));
        get<2>(order[i]) = i;
    }
    sort(ALL(order));
    vector <int> perm;
    for (auto [s, r, i]: order) {
        send(s, 19);
        send(r, 19);
        perm.push_back(i);
    }
    for (int x: traceSwap(perm)) send(x, 1);
    return l;
}

void buildSwapNetwork(int l, int r, vector <ii> &res) {
    if (r - l <= 1) return;
    int m = l + r >> 1;
    FOR(i, l, m) res.emplace_back(i, i + m - l);
    buildSwapNetwork(l, m, res);
    buildSwapNetwork(m, r, res);
    FOR(i, l, m) res.emplace_back(i, i + m - l);
}

void buildMergeNetwork(int l, int r, int step, vector <ii> &res) {
    int step2 = step + step;
    if (l + step2 >= r) {
        res.emplace_back(l, l + step);
        return;
    }
    buildMergeNetwork(l, r, step2, res);
    buildMergeNetwork(l + step, r, step2, res);
    for (int i = l + step; i + step < r; i += step2)
        res.emplace_back(i, i + step);
}

int cache[1002];

int cntSwapNetwork(int n) {
    if (n <= 1 || cache[n]) return cache[n];
    int m = n / 2;
    return cache[n] = m + cntSwapNetwork(m) + cntSwapNetwork(n - m) + m;
}

struct Element {
    vector <int> fi, se, val;
    int type;
};

// Circuit
int // returns l
circuit(
    /*  in */ const int la,
    /*  in */ const int lb,
    /* out */ int operations[],
    /* out */ int operands[][2],
    /* out */ int out[][16]
) {
    int num_gate = la + lb;
    auto get_gate = [&] (int op, int a, int b) {
        operations[num_gate] = op;
        operands[num_gate][0] = a;
        operands[num_gate][1] = b;
        return num_gate++;
    };
    int zero = get_gate(OP_ZERO, 0, 0);
    int one = get_gate(OP_ONE, 0, 0);
    auto _swap = [&] (int &x, int &y, int p) {
        int a = get_gate(OP_AND, p, get_gate(OP_XOR, x, y));
        x = get_gate(OP_XOR, x, a);
        y = get_gate(OP_XOR, y, a);
    };
    auto get_gate_2 = [&] (int op, const vector <int> &a, const vector <int> &b) {
        vector <int> res;
        REP(i, 16) res.push_back(get_gate(op, a[i], b[i]));
        return res;
    };
    auto get_gate_3 = [&] (int op, const vector <int> &a, int b) {
        vector <int> res;
        REP(i, 16) res.push_back(get_gate(op, a[i], b));
        return res;
    };
    auto sum = [&] (const vector <int> &a, const vector <int> &b) {
        int rem = zero;
        vector <int> res;
        REP(i, 16) {
            int sum = get_gate(OP_XOR, a[i], b[i]);
            int new_r = get_gate(OP_AND, a[i], b[i]);
            res.push_back(get_gate(OP_XOR, sum, rem));
            rem = get_gate(OP_OR, get_gate(OP_AND, a[i], b[i]), get_gate(OP_AND, sum, rem));
        }
        return res;
    };
    int n = 0;
    while (35 * n + cntSwapNetwork(n) < la) ++n;
    int m = 0;
    while (38 * m + cntSwapNetwork(m) < lb) ++m;
    int k = 1;
    while (k < max(m, n)) k <<= 1;
    vector <Element> elms(k + k);
    REP(i, n) {
        elms[i].fi.resize(19);
        iota(ALL(elms[i].fi), 35 * i);
        elms[i].se = elms[i].fi;
        elms[i].val.resize(16);
        iota(ALL(elms[i].val), 35 * i + 19);
        elms[i].type = zero;
    }
    REP(i, m) {
        elms[i + k].fi.resize(19);
        iota(ALL(elms[i + k].fi), la + 38 * i);
        elms[i + k].se.resize(19);
        iota(ALL(elms[i + k].se), la + 38 * i + 19);
        elms[i + k].val.assign(16, zero);
        elms[i + k].type = one;
    }
    vector <int> cmp;
    auto shuffle = [&] (const vector <ii> &network, bool just_val = false) {
        REP(i, network.size()) {
            auto [x, y] = network[i];
            if (cmp[i] == -1) {
                if (elms[x].fi.empty() || elms[y].fi.empty()) cmp[i] = !elms[y].fi.empty() ? -2 : -3;
                else {
                    int equal = one;
                    cmp[i] = zero;
                    REPD(j, 19) {
                        int a = elms[x].fi[j], b = elms[y].fi[j];
                        cmp[i] = get_gate(OP_OR, cmp[i], get_gate(OP_AND, equal, get_gate(OP_GREATER, a, b)));
                        equal = get_gate(OP_AND, equal, get_gate(OP_EQUAL, a, b));
                    }
                    cmp[i] = get_gate(OP_OR, cmp[i], get_gate(OP_AND, equal, get_gate(OP_GREATER, elms[x].type, elms[y].type)));
                }
            }
            if (cmp[i] < 0) {
                if (cmp[i] == -2) swap(elms[x], elms[y]);
            } else {
                if (!just_val) {
                    REP(j, 19) {
                        _swap(elms[x].fi[j], elms[y].fi[j], cmp[i]);
                        _swap(elms[x].se[j], elms[y].se[j], cmp[i]);
                    }
                    _swap(elms[x].type, elms[y].type, cmp[i]);
                }
                REP(j, 16) _swap(elms[x].val[j], elms[y].val[j], cmp[i]);
            }
        }
    };
    vector <ii> merge_network, swap_network;
    buildMergeNetwork(0, k + k, 1, merge_network);
    cmp.assign(merge_network.size(), -1);
    shuffle(merge_network);
    vector <int> cur(16, zero);
    REP(i, n + m) {
        elms[i].val = cur = get_gate_2(OP_XOR, cur, get_gate_3(OP_GREATER, get_gate_2(OP_XOR, cur, elms[i].val), elms[i].type));
        swap(elms[i].fi, elms[i].se);
    }
    reverse(ALL(merge_network));
    reverse(ALL(cmp));
    shuffle(merge_network);
    reverse(ALL(merge_network));
    buildSwapNetwork(k, k + m, swap_network);
    cmp.resize(swap_network.size());
    iota(ALL(cmp), la + 38 * m);
    shuffle(swap_network);
    cmp.assign(merge_network.size(), -1);
    shuffle(merge_network);
    cur.assign(16, zero);
    REPD(i, n + m) {
        swap(cur, elms[i].val);
        cur = get_gate_3(OP_AND, sum(cur, elms[i].val), elms[i].type);
    }
    reverse(ALL(merge_network));
    reverse(ALL(cmp));
    shuffle(merge_network, true);
    swap_network.clear();
    buildSwapNetwork(0, n, swap_network);
    cmp.resize(swap_network.size());
    iota(ALL(cmp), 35 * n);
    shuffle(swap_network, true);
    REP(i, n) REP(j, 16) out[i][j] = elms[i].val[j];
    return num_gate;
}

Compilation message (stderr)

abc.cpp: In function 'void buildSwapNetwork(int, int, std::vector<std::pair<int, int> >&)':
abc.cpp:184:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  184 |     int m = l + r >> 1;
      |             ~~^~~
abc.cpp: In lambda function:
abc.cpp:254:17: warning: unused variable 'new_r' [-Wunused-variable]
  254 |             int new_r = get_gate(OP_AND, a[i], b[i]);
      |                 ^~~~~

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