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code_segments/segment_13.txt

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+The two versions are different problems. You may want to read both versions. You can make hacks only if both versions are solved.
+
+You are given two positive integers $n$, $m$.
+
+Calculate the number of ordered pairs $(a, b)$ satisfying the following conditions:
+
+  * $1\le a\le n$, $1\le b\le m$;    * $b \cdot \gcd(a,b)$ is a multiple of $a+b$.
+
+Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1\le t\le 10^4$). The description of the test cases follows.
+
+The first line of each test case contains two integers $n$, $m$ ($1\le n,m\le 2 \cdot 10^6$).
+
+It is guaranteed that neither the sum of $n$ nor the sum of $m$ over all test cases exceeds $2 \cdot 10^6$.
+
+For each test case, print a single integer: the number of valid pairs.
+
+In the first test case, no pair satisfies the conditions.
+
+In the fourth test case, $(2,2),(3,6),(4,4),(6,3),(6,6),(8,8)$ satisfy the conditions.