/*
* Copyright (C) 2021 Paweł Widera
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details:
* http://www.gnu.org/licenses/gpl.html
*/
#include <iostream>
#include <algorithm>
#include <vector>
#include <deque>
#include <unordered_map>
using namespace std;
#define MOD 4294967295
unsigned int SIZES[3];
struct State {
unsigned int a;
unsigned int b;
unsigned int c;
unsigned int& operator[](int i) {
return (i == 0) ? a : (i == 1) ? b : c;
}
bool operator==(const State& other) const {
return a == other.a && b == other.b && c == other.c;
}
};
namespace std {
template <> struct hash<State> {
inline size_t operator()(const State& s) const {
// universal hashing with random multipliers
return ((s.a * 81335) + (s.b * 218100) + (s.c * 199972) + 112524) % MOD;
}
};
}
void generate_next(State& current, vector<State>& neighbours) {
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
// unless source is empty or destination is full
if (i != j || current[i] > 0 || current[j] < SIZES[j]) {
// transfer a volume of liquid that fits to destination
int volume = min(current[i], SIZES[j] - current[j]);
State next = current;
next[j] += volume;
next[i] -= volume;
neighbours.emplace_back(next);
}
}
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
for (int i = 0; i < 3; ++i) {
cin >> SIZES[i];
}
State start;
cin >> start.a >> start.b >> start.c;
vector<int> moves(SIZES[2] + 1, -1);
moves[start.a] = 0;
moves[start.b] = 0;
moves[start.c] = 0;
deque<State> queue;
vector<State> neighbours;
unordered_map<State, int> distances;
queue.emplace_back(start);
distances[start] = 0;
// try all moves, and track the obtained volumes
while (!queue.empty()) {
auto current = queue.front();
queue.pop_front();
generate_next(current, neighbours);
while (!neighbours.empty()) {
auto state = neighbours.back();
neighbours.pop_back();
if (!distances.count(state)) {
// add to queue if state not visited yet
queue.emplace_back(state);
// update moves
int d = distances[current] + 1;
if (moves[state.a] < 0) moves[state.a] = d;
if (moves[state.b] < 0) moves[state.b] = d;
if (moves[state.c] < 0) moves[state.c] = d;
// update distance
distances[state] = d;
}
}
}
for (auto m: moves) {
cout << m << " ";
}
cout << endl;
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 | /* * Copyright (C) 2021 Paweł Widera * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details: * http://www.gnu.org/licenses/gpl.html */ #include <iostream> #include <algorithm> #include <vector> #include <deque> #include <unordered_map> using namespace std; #define MOD 4294967295 unsigned int SIZES[3]; struct State { unsigned int a; unsigned int b; unsigned int c; unsigned int& operator[](int i) { return (i == 0) ? a : (i == 1) ? b : c; } bool operator==(const State& other) const { return a == other.a && b == other.b && c == other.c; } }; namespace std { template <> struct hash<State> { inline size_t operator()(const State& s) const { // universal hashing with random multipliers return ((s.a * 81335) + (s.b * 218100) + (s.c * 199972) + 112524) % MOD; } }; } void generate_next(State& current, vector<State>& neighbours) { for (int i = 0; i < 3; ++i) { for (int j = 0; j < 3; ++j) { // unless source is empty or destination is full if (i != j || current[i] > 0 || current[j] < SIZES[j]) { // transfer a volume of liquid that fits to destination int volume = min(current[i], SIZES[j] - current[j]); State next = current; next[j] += volume; next[i] -= volume; neighbours.emplace_back(next); } } } } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); for (int i = 0; i < 3; ++i) { cin >> SIZES[i]; } State start; cin >> start.a >> start.b >> start.c; vector<int> moves(SIZES[2] + 1, -1); moves[start.a] = 0; moves[start.b] = 0; moves[start.c] = 0; deque<State> queue; vector<State> neighbours; unordered_map<State, int> distances; queue.emplace_back(start); distances[start] = 0; // try all moves, and track the obtained volumes while (!queue.empty()) { auto current = queue.front(); queue.pop_front(); generate_next(current, neighbours); while (!neighbours.empty()) { auto state = neighbours.back(); neighbours.pop_back(); if (!distances.count(state)) { // add to queue if state not visited yet queue.emplace_back(state); // update moves int d = distances[current] + 1; if (moves[state.a] < 0) moves[state.a] = d; if (moves[state.b] < 0) moves[state.b] = d; if (moves[state.c] < 0) moves[state.c] = d; // update distance distances[state] = d; } } } for (auto m: moves) { cout << m << " "; } cout << endl; return 0; } |
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