diff --git a/week 1/day 5/day5.md b/week 1/day 5/day5.md
index dd906ce..e346e5d 100644
--- a/week 1/day 5/day5.md	
+++ b/week 1/day 5/day5.md	
@@ -1,9 +1,7 @@
-
 if the number of user dobules
 
 the time of execution will be multiply by 2
 
-
 $$
 T(n, m) = n \times m
 T(2n, m) = 2 \times n \times m
diff --git a/week 1/projects/User audit Script/correction.ps1 b/week 1/projects/User audit Script/correction.ps1
new file mode 100644
index 0000000..7b21aea
--- /dev/null
+++ b/week 1/projects/User audit Script/correction.ps1	
@@ -0,0 +1,28 @@
+# PowerShell User Audit Script
+
+# Get all local usernames as strings
+#! Get-LocalUser returns objects, not just strings.
+#! -split $users is incorrect for objects.
+$users = Get-LocalUser | Select-Object -ExpandProperty Name
+
+foreach ($username in $users) {
+    $badChar = $false
+
+    # Check each character
+    foreach ($char in $username.ToCharArray()) {
+        if ($char -notmatch "[A-Za-z]") {
+            $badChar = $true
+            break
+        }
+    }
+
+    # Check first character
+    $firstChar = $username[0]
+    $validFirstLetter = $firstChar -match "[A-Za-z]"
+
+    # Flag invalid usernames
+    # * Note: -ge 20 includes length 20. If you want max length 20 valid, use -gt 20.
+    if ($badChar -or $username.Length -gt 20 -or -not $validFirstLetter) {
+        Write-Host "The username '$username' is invalid"
+    }
+}
diff --git a/week 1/projects/User audit Script/correction.sh b/week 1/projects/User audit Script/correction.sh
new file mode 100644
index 0000000..4a21212
--- /dev/null
+++ b/week 1/projects/User audit Script/correction.sh	
@@ -0,0 +1,26 @@
+#!/bin/bash
+
+# userAudit: print invalid usernames
+#! Safe iteration over /etc/passwd using while read -r
+
+awk -F ":" '{print $1}' /etc/passwd | while read -r username; do
+    firstChar="${username:0:1}"
+    badChar=false
+
+    # Check if username contains only letters
+    for ((i=0; i<${#username}; i++)); do
+        char="${username:i:1}"
+        if ! [[ "$char" =~ [A-Za-z] ]]; then
+            badChar=true
+            break
+        fi
+    done
+
+    # Flag invalid usernames
+#! Corrected logic to properly flag invalid usernames:
+#! check if the firstchar is NOT a letter
+    if (( ${#username} > 20 )) || ! [[ "$firstChar" =~ [A-Za-z] ]] || $badChar ; then
+#! Quotes around $username in echo for robustness.
+        echo "$username"
+    fi
+done
diff --git a/week 1/projects/User audit Script/userAudit.ps1 b/week 1/projects/User audit Script/userAudit.ps1
new file mode 100644
index 0000000..77291bb
--- /dev/null
+++ b/week 1/projects/User audit Script/userAudit.ps1	
@@ -0,0 +1,21 @@
+$users = Get-LocalUser
+
+foreach($username in -split $users){
+
+    $badChar = $false
+    
+    foreach ($char in $username.ToCharArray()) {
+        if($char -notmatch "[A-Za-z]"){
+            $badChar = $true
+            break
+        }
+    }
+
+    $fistChar = $username[0]
+    $validFirstLetter = $fistChar -match "[A-Za-z]"
+
+    if ($badChar -or $username.Length -ge 20 -or -not $validFirstLetter ){
+        Write-Host "the userName " + $username + " is invalid"
+    }
+
+}
\ No newline at end of file
diff --git a/week 1/projects/User audit Script/userAudit.sh b/week 1/projects/User audit Script/userAudit.sh
new file mode 100755
index 0000000..94b4006
--- /dev/null
+++ b/week 1/projects/User audit Script/userAudit.sh	
@@ -0,0 +1,29 @@
+#!/bin/bash
+
+# userAudit
+
+#Read the passwd file for all the username
+file=$(awk -F ":" '{print $1}' /etc/passwd)
+
+for username in $file; do
+    firstChar="${username:0:1}"
+    badChar=false
+
+#check if the username contain only letters
+    for ((i=0; i<${#username}; i++)); do
+        char="${username:i:1}"
+        if ! [[ "$char" =~ [A-Za-z] ]]; then
+            badChar=true
+            break
+        fi
+    done
+
+#if the username is not valid
+# longer than 20 characters, start with not a letter and contain other char than letter
+# print it
+    if  ((${#username} >= 20)) || ! [[ "$firstChar" =~ [A-Za-z] ]] || $badChar ; then
+        echo $username
+    fi
+done
+
+