// Patryk Jędrzejczak
#include <bits/stdc++.h>
using namespace std;
#define REP(i, n) for(int i = 0; i < n; ++i)
#define REPR(i, n) for(int i = n - 1; i >= 0; --i)
#define FOR(i, a, b) for(int i = a; i < b; ++i)
#define FORR(i, a, b) for(int i = b - 1; i >= a; --i)
#define EB emplace_back
#define MP make_pair
#define ST first
#define ND second
#define S size
#define RS resize
#define endl '\n'
#define L long long
template<class T> using V = vector<T>;
using PI = pair<int, int>;
int A, B, C;
int sum;
map<PI, int> dist;
V<int> res;
void bfs(int as, int bs) {
dist[MP(as, bs)] = 0;
res[as] = res[bs] = res[sum - as - bs] = 0;
queue<PI> q;
q.push(MP(as, bs));
while (!q.empty()) {
PI w = q.front();
q.pop();
int a = w.ST;
int b = w.ND;
int c = sum - a - b;
int a_b = min(a, B - b);
if (dist.find(MP(a - a_b, b + a_b)) == dist.end()) {
q.push(MP(a - a_b, b + a_b));
dist[MP(a - a_b, b + a_b)] = dist[w] + 1;
res[a - a_b] = min(res[a - a_b], dist[w] + 1);
res[b + a_b] = min(res[b + a_b], dist[w] + 1);
}
int b_a = min(A - a, b);
if (dist.find(MP(a + b_a, b - b_a)) == dist.end()) {
q.push(MP(a + b_a, b - b_a));
dist[MP(a + b_a, b - b_a)] = dist[w] + 1;
res[a + b_a] = min(res[a + b_a], dist[w] + 1);
res[b - b_a] = min(res[b - b_a], dist[w] + 1);
}
int a_c = min(a, C - c);
if (dist.find(MP(a - a_c, b)) == dist.end()) {
q.push(MP(a - a_c, b));
dist[MP(a - a_c, b)] = dist[w] + 1;
res[a - a_c] = min(res[a - a_c], dist[w] + 1);
res[c + a_c] = min(res[c + a_c], dist[w] + 1);
}
int c_a = min(A - a, c);
if (dist.find(MP(a + c_a, b)) == dist.end()) {
q.push(MP(a + c_a, b));
dist[MP(a + c_a, b)] = dist[w] + 1;
res[a + c_a] = min(res[a + c_a], dist[w] + 1);
res[c - c_a] = min(res[c - c_a], dist[w] + 1);
}
int b_c = min(b, C - c);
if (dist.find(MP(a, b - b_c)) == dist.end()) {
q.push(MP(a, b - b_c));
dist[MP(a, b - b_c)] = dist[w] + 1;
res[b - b_c] = min(res[b - b_c], dist[w] + 1);
res[c + b_c] = min(res[c + b_c], dist[w] + 1);
}
int c_b = min(B - b, c);
if (dist.find(MP(a, b + c_b)) == dist.end()) {
q.push(MP(a, b + c_b));
dist[MP(a, b + c_b)] = dist[w] + 1;
res[b + c_b] = min(res[b + c_b], dist[w] + 1);
res[c - c_b] = min(res[c - c_b], dist[w] + 1);
}
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int a, b, c;
cin >> A >> B >> C >> a >> b >> c;
sum = a + b + c;
res.RS(C + 1, 1e9);
bfs(a, b);
REP(i, C + 1) {
cout << (res[i] == 1e9 ? -1 : res[i]) << ' ';
}
}
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 | // Patryk Jędrzejczak #include <bits/stdc++.h> using namespace std; #define REP(i, n) for(int i = 0; i < n; ++i) #define REPR(i, n) for(int i = n - 1; i >= 0; --i) #define FOR(i, a, b) for(int i = a; i < b; ++i) #define FORR(i, a, b) for(int i = b - 1; i >= a; --i) #define EB emplace_back #define MP make_pair #define ST first #define ND second #define S size #define RS resize #define endl '\n' #define L long long template<class T> using V = vector<T>; using PI = pair<int, int>; int A, B, C; int sum; map<PI, int> dist; V<int> res; void bfs(int as, int bs) { dist[MP(as, bs)] = 0; res[as] = res[bs] = res[sum - as - bs] = 0; queue<PI> q; q.push(MP(as, bs)); while (!q.empty()) { PI w = q.front(); q.pop(); int a = w.ST; int b = w.ND; int c = sum - a - b; int a_b = min(a, B - b); if (dist.find(MP(a - a_b, b + a_b)) == dist.end()) { q.push(MP(a - a_b, b + a_b)); dist[MP(a - a_b, b + a_b)] = dist[w] + 1; res[a - a_b] = min(res[a - a_b], dist[w] + 1); res[b + a_b] = min(res[b + a_b], dist[w] + 1); } int b_a = min(A - a, b); if (dist.find(MP(a + b_a, b - b_a)) == dist.end()) { q.push(MP(a + b_a, b - b_a)); dist[MP(a + b_a, b - b_a)] = dist[w] + 1; res[a + b_a] = min(res[a + b_a], dist[w] + 1); res[b - b_a] = min(res[b - b_a], dist[w] + 1); } int a_c = min(a, C - c); if (dist.find(MP(a - a_c, b)) == dist.end()) { q.push(MP(a - a_c, b)); dist[MP(a - a_c, b)] = dist[w] + 1; res[a - a_c] = min(res[a - a_c], dist[w] + 1); res[c + a_c] = min(res[c + a_c], dist[w] + 1); } int c_a = min(A - a, c); if (dist.find(MP(a + c_a, b)) == dist.end()) { q.push(MP(a + c_a, b)); dist[MP(a + c_a, b)] = dist[w] + 1; res[a + c_a] = min(res[a + c_a], dist[w] + 1); res[c - c_a] = min(res[c - c_a], dist[w] + 1); } int b_c = min(b, C - c); if (dist.find(MP(a, b - b_c)) == dist.end()) { q.push(MP(a, b - b_c)); dist[MP(a, b - b_c)] = dist[w] + 1; res[b - b_c] = min(res[b - b_c], dist[w] + 1); res[c + b_c] = min(res[c + b_c], dist[w] + 1); } int c_b = min(B - b, c); if (dist.find(MP(a, b + c_b)) == dist.end()) { q.push(MP(a, b + c_b)); dist[MP(a, b + c_b)] = dist[w] + 1; res[b + c_b] = min(res[b + c_b], dist[w] + 1); res[c - c_b] = min(res[c - c_b], dist[w] + 1); } } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int a, b, c; cin >> A >> B >> C >> a >> b >> c; sum = a + b + c; res.RS(C + 1, 1e9); bfs(a, b); REP(i, C + 1) { cout << (res[i] == 1e9 ? -1 : res[i]) << ' '; } } |
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