A14594. The Sum of Good Numbers

Let's call a positive integer good if there is no digit 0 in its decimal representation.

For an array of a good numbers $a$ , one found out that the sum of some two neighboring elements is equal to $x$ (i.e. $x = a_i + a_{i + 1}$ for some $i$ ). $x$ had turned out to be a good number as well.

Then the elements of the array $a$ were written out one after another without separators into one string $s$ . For example, if $a = [12, 5, 6, 133]$ , then $s = 1256133$ .

You are given a string $s$ and a number $x$ . Your task is to determine the positions in the string that correspond to the adjacent elements of the array that have sum $x$ . If there are several possible answers, you can print any of them.

The first line contains the string $s$ ( $2 \le |s| \le 5 \cdot 10^5$ ).

The second line contains an integer $x$ ( $2 \le x < 10^{200000}$ ).

An additional constraint on the input: the answer always exists, i.e you can always select two adjacent substrings of the string $s$ so that if you convert these substrings to integers, their sum is equal to $x$ .

In the first line, print two integers $l_1$ , $r_1$ , meaning that the first term of the sum ( $a_i$ ) is in the string $s$ from position $l_1$ to position $r_1$ .

In the second line, print two integers $l_2$ , $r_2$ , meaning that the second term of the sum ( $a_{i + 1}$ ) is in the string $s$ from position $l_2$ to position $r_2$ .

In the first example $s[1;2] = 12$ and $s[3;3] = 5$ , $12+5=17$ .

In the second example $s[2;3] = 54$ and $s[4;6] = 471$ , $54+471=525$ .

In the third example $s[1;1] = 2$ and $s[2;2] = 3$ , $2+3=5$ .

In the fourth example $s[2;7] = 218633$ and $s[8;13] = 757639$ , $218633+757639=976272$ .