private _ANSWER solve(string s, string t)
{
var ans = new Triplet <long, long, long>(long.MaxValue, long.MaxValue, long.MaxValue);
//0: s>t
//1: s=t
//1: t<s
var dp = Enumerate(3, x => new Triplet <long, long, long>(long.MaxValue, 0, 0));
dp[1].I = 0;
for (int i = 0; i < s.Length; i++)
{
var next = Enumerate(3, x => new Triplet <long, long, long>(long.MaxValue, 0, 0));
for (int u = 0; u < 10; u++)
{
if (s[i] != u + '0' && s[i] != '?')
{
continue;
}
for (int v = 0; v < 10; v++)
{
if (t[i] != v + '0' && t[i] != '?')
{
continue;
}
if (u < v)
{
for (int k = 0; k < 3; k++)
{
long d;
int to;
Triplet <long, long, long> neq;
if (k == 0)
{
if (dp[k].I == long.MaxValue)
{
continue;
}
d = dp[k].I * 10 - Math.Abs(v - u);
neq = new Triplet <long, long, long>(d, dp[k].J * 10 + u, dp[k].K * 10 + v);
to = 0;
}
else if (k == 1)
{
if (dp[k].I == long.MaxValue)
{
continue;
}
d = Math.Abs(v - u);
neq = new Triplet <long, long, long>(d, dp[k].J * 10 + u, dp[k].K * 10 + v);
to = 2;
}
else
{
if (dp[k].I == long.MaxValue)
{
continue;
}
d = dp[k].I * 10 + Math.Abs(v - u);
neq = new Triplet <long, long, long>(d, dp[k].J * 10 + u, dp[k].K * 10 + v);
to = 2;
}
next[to] = Triplet.Min(next[to], neq);
}
}
else if (u == v)
{
for (int k = 0; k < 3; k++)
{
long d;
int to;
Triplet <long, long, long> neq;
if (k == 0)
{
if (dp[k].I == long.MaxValue)
{
continue;
}
d = dp[k].I * 10 - Math.Abs(v - u);
neq = new Triplet <long, long, long>(d, dp[k].J * 10 + u, dp[k].K * 10 + v);
to = 0;
}
else if (k == 1)
{
if (dp[k].I == long.MaxValue)
{
continue;
}
d = Math.Abs(v - u);
neq = new Triplet <long, long, long>(d, dp[k].J * 10 + u, dp[k].K * 10 + v);
to = 1;
}
else
{
if (dp[k].I == long.MaxValue)
{
continue;
}
d = dp[k].I * 10 + Math.Abs(v - u);
neq = new Triplet <long, long, long>(d, dp[k].J * 10 + u, dp[k].K * 10 + v);
to = 2;
}
next[to] = Triplet.Min(next[to], neq);
}
}
else
{
for (int k = 0; k < 3; k++)
{
long d;
int to;
Triplet <long, long, long> neq;
if (k == 0)
{
if (dp[k].I == long.MaxValue)
{
continue;
}
d = dp[k].I * 10 + Math.Abs(v - u);
neq = new Triplet <long, long, long>(d, dp[k].J * 10 + u, dp[k].K * 10 + v);
to = 0;
}
else if (k == 1)
{
if (dp[k].I == long.MaxValue)
{
continue;
}
d = Math.Abs(v - u);
neq = new Triplet <long, long, long>(d, dp[k].J * 10 + u, dp[k].K * 10 + v);
to = 0;
}
else
{
if (dp[k].I == long.MaxValue)
{
continue;
}
d = dp[k].I * 10 - Math.Abs(v - u);
neq = new Triplet <long, long, long>(d, dp[k].J * 10 + u, dp[k].K * 10 + v);
to = 2;
}
next[to] = Triplet.Min(next[to], neq);
}
}
}
}
dp = next;
}
for (int i = 0; i < 3; i++)
{
ans = Triplet.Min(ans, dp[i]);
}
var a = new List <long>();
var b = new List <long>();
for (int i = 0; i < s.Length; i++)
{
a.Add(ans.J % 10);
b.Add(ans.K % 10);
ans.J /= 10;
ans.K /= 10;
}
a.Reverse(); b.Reverse();
return(new _ANSWER(ans.I, a.AsJoinedString(""), b.AsJoinedString("")));
}