[AtCoder] D - Send More Money

D - Send More Money

  • Time : O(unique(a,b,c)!)
  • Space : O(1)
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#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

using namespace std;

struct PairHash {
inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }
};

// speed
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);

// alias
using ll = long long;
using ld = long double;

// constants
const ld PI = 3.14159265358979323846; /* pi */
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 202;
const ll mod = 1e9+7;

// typedef
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;

// macros
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define pyes cout<<"YES\n";
#define pno cout<<"NO\n";
#define pneg1 cout<<"-1\n";

// utility functions
template <typename T>
void print(T &&t) { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,0,n)cout<<v[i]<<" ";cout<<"\n";}
//void readf() {freopen("", "rt", stdin);}

ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
ll __lcm(ll x, ll y) { return x * y / __gcd(x,y); }

using namespace std;

string convert(vll& mp, string& A) {
string res = "";
for(auto& a : A) {
res.push_back(mp[a-'a'] | 0b110000);
}
return res;
}

bool eval(vll& mp, string& a, string& b, string& c) {
string aa = convert(mp, a), bb = convert(mp, b), cc = convert(mp, c);
if(aa[0] == '0' or bb[0] == '0' or cc[0] == '0') return false;
return stoll(aa) + stoll(bb) == stoll(cc);
}

bool helper(unordered_set<char>& us, string& a, string& b, string& c, ll p, vll& mp, ll mask, vs& res) {
if(p == 26) {
if(!eval(mp,a,b,c)) return false;
res[0] = convert(mp,a);
res[1] = convert(mp,b);
res[2] = convert(mp,c);
return true;
} else {
if(!us.count('a' + p))
return helper(us, a, b, c, p + 1, mp, mask, res);

rep(i,0,10) {
if(mask & (1<<i)) continue;

mp[p] = i;

if(helper(us, a, b, c, p + 1, mp, mask | (1<<i), res))
return true;

mp[p] = 0;
}
return false;
}
}

vs solve(string a, string b, string c) {
unordered_set<char> us;
for(auto& aa : a) us.insert(aa);
for(auto& bb : b) us.insert(bb);
for(auto& cc : c) us.insert(cc);
if(us.size() > 10) return {};
vs res(3);
if(!helper(us, a, b, c, 0, vll(26) = {}, 0, res)) return {};
return res;
}

int main() {
Code By Sumfi

cout.precision(12);

ll tc = 1;
//cin>>tc;
for (ll i = 1; i <= tc; i++) {
string a, b, c;
cin>>a>>b>>c;
auto res = solve(a,b,c);
if(res.empty()) print("UNSOLVABLE");
else for(auto& r : res) print(r);
}
return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/07/05/PS/AtCoder/abc198-d/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.