Submission #1104457

# Submission time Handle Problem Language Result Execution time Memory
1104457 2024-10-23T19:31:48 Z fve5 Flight to the Ford (BOI22_communication) C++17
74 / 100
3798 ms 3176 KB
#include <bits/stdc++.h>
#include "communication.h"
using namespace std;

constexpr int MAXBITS = 30;
constexpr int LEN = 116;

int change_index_extremes_equal(int idx) {
    switch (idx) {
    case 0: return 0;
    case 1: return 0;
    case 2: return 1;
    case 3: return 2;
    case 4: return 1;
    case 5: return 2;
    case 6: return 3;
    case 7: return 3;
    }
}

vector<int> change_from_idx_eq(int idx, bool preserve) {
    if (preserve) {
        switch (idx) {
        case 0: return {0, 0, 0, 0};
        case 1: return {0, 1, 0, 0};
        case 2: return {0, 0, 1, 0};
        case 3: return {1, 0, 0, 1};
        }
    } else {
        switch (idx) {
        case 0: return {1, 0, 0, 0};
        case 1: return {1, 0, 1, 0};
        case 2: return {0, 0, 0, 1};
        case 3: return {0, 1, 0, 1};
        }
    }
}

int idx_from_change(int sz, vector<int> ch) {
    int cnt = 0;

    for (int i = 0; i < (1 << sz); i++) {
        bool ok = true;
        for (int j = 0; j < sz; j++)
            ok &= (i >> j) % 4 != 3;
        
        if (!ok)
            continue;

        bool match = true;
        for (int j = 0; j < sz; j++)
            match &= ch[j] == (i >> j) % 2;

        if (match)
            return cnt;

        cnt++;
    }
}

vector<int> change_from_idx(int sz, int idx) {
    int cnt = 0;
    vector<int> ans(sz);

    for (int i = 0; i < (1 << sz); i++) {
        bool ok = true;
        for (int j = 0; j < sz; j++)
            ok &= (i >> j) % 4 != 3;
        
        if (!ok)
            continue;

        if (cnt == idx) {
            for (int j = 0; j < sz; j++)
                ans[j] = (i >> j) % 2;
            return ans;
        }

        cnt++;
    }
}

int send_packet(int sz, vector<int> b) {
    vector<int> ch(sz);
    for (int i = 0; i < sz; i++) {
        ch[i] = b[i] ^ send(b[i]);
    }
    return idx_from_change(sz, ch);
}

void encode(int N, int X) {
    X--;
    vector<int> bits(MAXBITS);
    for (int i = 0; i < MAXBITS; i++)
        bits[i] = (X >> i) & 1;
    
    // Sending message
    int last = send_packet(4, {bits[0], bits[1], bits[2], bits[3]});
    for (int i = 4; i < MAXBITS; i++) {
        last = send_packet(4, {bits[i], (last >> 0) & 1, (last >> 1) & 1, (last >> 2) & 1});
    }

    // 8 states from 4
    last = send_packet(4, {(last >> 0) & 1, (last >> 1) & 1, (last >> 2) & 1, (last >> 0) & 1});
    last = change_index_extremes_equal(last);
    
    // Solution for N=4
    switch (last) {
    case 0: send_packet(4, {0, 0, 0, 0}); break;
    case 1: send_packet(4, {0, 1, 1, 0}); break;
    case 2: send_packet(4, {1, 0, 0, 1}); break;
    case 3: send_packet(4, {1, 1, 1, 1}); break;
    }
}

pair<int, int> starting_guesses(vector<int> packet) {
    int val = packet[0] | 2 * packet[1] | 4 * packet[2] | 8 * packet[3];
    switch (val) {
        case  0: return {0, 2};
        case  1: return {0, 2};
        case  2: return {0, 1};
        case  3: return {1, 2};
        case  4: return {0, 1};
        case  5: return {0, 3};
        case  6: return {1, 3};
        case  7: return {1, 3};
        case  8: return {0, 2};
        case  9: return {0, 2};
        case 10: return {0, 3};
        case 11: return {2, 3};
        case 12: return {1, 2};
        case 13: return {2, 3};
        case 14: return {1, 3};
        case 15: return {1, 3};
    }
}

int solve(int start, vector<int> packets) {
    int changed = start;

    auto pop = [&]() {
        int ans = packets.back();
        packets.pop_back();
        return ans;
    };

    // 4 states to 8
    {
        vector<int> packet = {pop(), pop(), pop(), pop()};
        vector<int> changes = change_from_idx_eq(changed, packet[0] == packet[3]);
        reverse(changes.begin(), changes.end());

        changed = (changes[1] ^ packet[1]) * 4 | (changes[2] ^  packet[2]) * 2 | (changes[3] ^ packet[3]);
    }

    // 8 states to full message
    int ans = 0;

    while (!packets.empty()) {
        vector<int> packet = {pop(), pop(), pop(), pop()};
        vector<int> changes = change_from_idx(4, changed);
        reverse(changes.begin(), changes.end());

        if (!packets.empty()) {
            changed = (changes[0] ^ packet[0]) * 4 | (changes[1] ^  packet[1]) * 2 | (changes[2] ^ packet[2]);

            ans <<= 1;
            ans |= changes[3] ^ packet[3];
        } else {
            for (auto i: {0, 1, 2, 3}) {
                ans <<= 1;
                ans |= changes[i] ^ packet[i];  
            }
        }
    }
    return ans;
}

pair<int, int> decode(int N) {
    vector<int> packets(LEN);
    for (int i = 0; i < LEN; i++)
        packets[i] = receive();

    vector<int> head(packets.end() - 4, packets.end());
    vector<int> tail(packets.begin(), packets.end() - 4);

    auto [guess_1, guess_2] = starting_guesses(head);

    return {min(N, solve(guess_1, tail) + 1), min(N, solve(guess_2, tail) + 1)};
}

Compilation message

communication.cpp: In function 'int change_index_extremes_equal(int)':
communication.cpp:19:1: warning: control reaches end of non-void function [-Wreturn-type]
   19 | }
      | ^
communication.cpp: In function 'std::vector<int> change_from_idx_eq(int, bool)':
communication.cpp:37:1: warning: control reaches end of non-void function [-Wreturn-type]
   37 | }
      | ^
communication.cpp: In function 'int idx_from_change(int, std::vector<int>)':
communication.cpp:59:1: warning: control reaches end of non-void function [-Wreturn-type]
   59 | }
      | ^
communication.cpp: In function 'std::vector<int> change_from_idx(int, int)':
communication.cpp:81:1: warning: control reaches end of non-void function [-Wreturn-type]
   81 | }
      | ^
communication.cpp: In function 'std::pair<int, int> starting_guesses(std::vector<int>)':
communication.cpp:136:1: warning: control reaches end of non-void function [-Wreturn-type]
  136 | }
      | ^
# Verdict Execution time Memory Grader output
1 Correct 94 ms 2952 KB Output is correct
2 Correct 138 ms 2732 KB Output is correct
3 Correct 186 ms 2712 KB Output is correct
4 Correct 82 ms 2728 KB Output is correct
5 Correct 121 ms 2708 KB Output is correct
6 Correct 350 ms 2900 KB Output is correct
7 Correct 730 ms 2712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Partially correct 825 ms 2704 KB Output is partially correct
2 Partially correct 368 ms 2704 KB Output is partially correct
3 Partially correct 501 ms 2708 KB Output is partially correct
4 Partially correct 869 ms 2708 KB Output is partially correct
5 Partially correct 747 ms 2708 KB Output is partially correct
6 Partially correct 634 ms 2720 KB Output is partially correct
7 Partially correct 2371 ms 2972 KB Output is partially correct
8 Partially correct 3798 ms 3060 KB Output is partially correct
9 Partially correct 3480 ms 3068 KB Output is partially correct
10 Partially correct 3362 ms 2880 KB Output is partially correct
11 Partially correct 3350 ms 3176 KB Output is partially correct
12 Partially correct 3450 ms 2880 KB Output is partially correct
13 Partially correct 3291 ms 3076 KB Output is partially correct
14 Partially correct 3339 ms 2904 KB Output is partially correct
15 Partially correct 1778 ms 2788 KB Output is partially correct
16 Partially correct 3639 ms 2800 KB Output is partially correct
17 Partially correct 863 ms 2908 KB Output is partially correct
18 Partially correct 793 ms 2884 KB Output is partially correct
19 Partially correct 824 ms 2972 KB Output is partially correct
20 Partially correct 946 ms 2908 KB Output is partially correct
21 Partially correct 864 ms 2792 KB Output is partially correct
22 Partially correct 908 ms 2792 KB Output is partially correct
23 Partially correct 1456 ms 2788 KB Output is partially correct
24 Correct 80 ms 2720 KB Output is correct
25 Correct 134 ms 2712 KB Output is correct
26 Correct 172 ms 3072 KB Output is correct
27 Correct 87 ms 2920 KB Output is correct
28 Correct 141 ms 2704 KB Output is correct
29 Correct 349 ms 2888 KB Output is correct
30 Correct 720 ms 2708 KB Output is correct