diff --git a/Package.resolved b/Package.resolved
index f023a454..ae347fa3 100644
--- a/Package.resolved
+++ b/Package.resolved
@@ -1,13 +1,13 @@
 {
-  "originHash" : "97a30c267f45840228fa0cbec6f6118fe33a73655d21926935400d86da3d5b87",
+  "originHash" : "00f869e23177fe695dd8283cb0093109907f008463129cf1e765a22549e2a3cb",
   "pins" : [
     {
       "identity" : "hdrhistogram-swift",
       "kind" : "remoteSourceControl",
       "location" : "https://github.com/HdrHistogram/hdrhistogram-swift",
       "state" : {
-        "revision" : "a69fa24d7b70421870cafa86340ece900489e17e",
-        "version" : "0.1.2"
+        "revision" : "93a1618c8aa20f6a521a9da656a3e0591889e9dc",
+        "version" : "0.1.3"
       }
     },
     {
@@ -15,8 +15,8 @@
       "kind" : "remoteSourceControl",
       "location" : "https://github.com/ordo-one/package-benchmark",
       "state" : {
-        "revision" : "51fffb6bc58bcbaca9c1954e6e52b56f3c9c2d54",
-        "version" : "1.27.4"
+        "revision" : "ec06262cf296aaa4bd40ed654ccdf9a87fe1879f",
+        "version" : "1.29.2"
       }
     },
     {
@@ -33,8 +33,8 @@
       "kind" : "remoteSourceControl",
       "location" : "https://github.com/apple/swift-algorithms",
       "state" : {
-        "revision" : "f6919dfc309e7f1b56224378b11e28bab5bccc42",
-        "version" : "1.2.0"
+        "revision" : "87e50f483c54e6efd60e885f7f5aa946cee68023",
+        "version" : "1.2.1"
       }
     },
     {
@@ -51,8 +51,8 @@
       "kind" : "remoteSourceControl",
       "location" : "https://github.com/apple/swift-asn1.git",
       "state" : {
-        "revision" : "7faebca1ea4f9aaf0cda1cef7c43aecd2311ddf6",
-        "version" : "1.3.0"
+        "revision" : "ae33e5941bb88d88538d0a6b19ca0b01e6c76dcf",
+        "version" : "1.3.1"
       }
     },
     {
@@ -69,8 +69,8 @@
       "kind" : "remoteSourceControl",
       "location" : "https://github.com/apple/swift-crypto.git",
       "state" : {
-        "revision" : "ff0f781cf7c6a22d52957e50b104f5768b50c779",
-        "version" : "3.10.0"
+        "revision" : "45305d32cfb830faebcaa9a7aea66ad342637518",
+        "version" : "3.11.1"
       }
     },
     {
@@ -105,8 +105,8 @@
       "kind" : "remoteSourceControl",
       "location" : "https://github.com/apple/swift-numerics",
       "state" : {
-        "revision" : "0a5bc04095a675662cf24757cc0640aa2204253b",
-        "version" : "1.0.2"
+        "revision" : "e0ec0f5f3af6f3e4d5e7a19d2af26b481acb6ba8",
+        "version" : "1.0.3"
       }
     },
     {
@@ -114,8 +114,8 @@
       "kind" : "remoteSourceControl",
       "location" : "https://github.com/apple/swift-protobuf",
       "state" : {
-        "revision" : "ebc7251dd5b37f627c93698e4374084d98409633",
-        "version" : "1.28.2"
+        "revision" : "d72aed98f8253ec1aa9ea1141e28150f408cf17f",
+        "version" : "1.29.0"
       }
     },
     {
@@ -123,8 +123,8 @@
       "kind" : "remoteSourceControl",
       "location" : "https://github.com/apple/swift-system",
       "state" : {
-        "revision" : "c8a44d836fe7913603e246acab7c528c2e780168",
-        "version" : "1.4.0"
+        "revision" : "a34201439c74b53f0fd71ef11741af7e7caf01e1",
+        "version" : "1.4.2"
       }
     },
     {
diff --git a/Sources/TestUtilities/TestUtilities.swift b/Sources/TestUtilities/TestUtilities.swift
index dfde285a..90f122ab 100644
--- a/Sources/TestUtilities/TestUtilities.swift
+++ b/Sources/TestUtilities/TestUtilities.swift
@@ -151,20 +151,31 @@ extension TestUtils {
         return perm(n: n, k: k) / mult(1...k)
     }
 
-    /// Returns the expected number of bins with "count" balls, assuming
-    /// a total of "num_balls" balls each assigned to a uniform random bin
-    /// among "num_bins" bins.
+    /// Count the expected number of bins with a target count, assuming balls each assigned to a uniform random bin.
+    /// - Parameters:
+    ///   - binCount: Number of bins.
+    ///   - ballCount: Number of balls.
+    ///   - count: Target number of balls in a bin.
+    /// - Returns: the expected number of bins with `count` balls.
     package static func expectedBallsInBinsCount(binCount: Int, ballCount: Int, count: Int) -> Double {
         // Pr(ballCount in first bin == count)
         let n = ballCount
         let k = count
         let p = 1 / Double(binCount)
-        let q = 1.0 - p
         let binomialCoefficient = binomialCoefficient(n: n, k: k)
+
+        func binomialPow(_ base: Double, _ exponent: Double) -> Double {
+            // 0^0 set to be 1
+            if base.isZero, exponent.isZero {
+                1.0
+            } else {
+                Double.pow(base, exponent)
+            }
+        }
+
         // Probability mass function of binomial distribution
-        let probabilityOfExactlyCountBallsInFirstBin = binomialCoefficient * Double.pow(p, Double(k)) * Double.pow(
-            q,
-            Double(n - k))
+        let scalingFactor = binomialPow(p, Double(k)) * binomialPow(1.0 - p, Double(n - k))
+        let probabilityOfExactlyCountBallsInFirstBin = binomialCoefficient * scalingFactor
         // Linearity of expectation
         return Double(binCount) * probabilityOfExactlyCountBallsInFirstBin
     }
diff --git a/swift-homomorphic-encryption-protobuf b/swift-homomorphic-encryption-protobuf
index e043f0dc..e2fcb506 160000
--- a/swift-homomorphic-encryption-protobuf
+++ b/swift-homomorphic-encryption-protobuf
@@ -1 +1 @@
-Subproject commit e043f0dc6f223be5a48930f38d39a10bb5e6e5f9
+Subproject commit e2fcb506442719d00b11914ebe6e85779c5b5b4c