diff --git a/p1debuglog.txt b/p1debuglog.txt
index e69de29b..42e16184 100644
--- a/p1debuglog.txt
+++ b/p1debuglog.txt
@@ -0,0 +1,69 @@
+ gdb a.out
+GNU gdb (Ubuntu 8.1.1-0ubuntu1) 8.1.1
+Copyright (C) 2018 Free Software Foundation, Inc.
+License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>
+This is free software: you are free to change and redistribute it.
+There is NO WARRANTY, to the extent permitted by law.  Type "show copying"
+and "show warranty" for details.
+This GDB was configured as "x86_64-linux-gnu".
+Type "show configuration" for configuration details.
+For bug reporting instructions, please see:
+<http://www.gnu.org/software/gdb/bugs/>.
+Find the GDB manual and other documentation resources online at:
+<http://www.gnu.org/software/gdb/documentation/>.
+For help, type "help".
+Type "apropos word" to search for commands related to "word"...
+Reading symbols from a.out...done.
+(gdb) b main
+Breakpoint 1 at 0x7fc: file p1final.c, line 16.
+(gdb) r
+Starting program: /home/runner/pps-IA1-practice-2/a.out 
+warning: Error disabling address space randomization: Operation not permitted
+
+Breakpoint 1, main () at p1final.c:16
+16  {
+(gdb) s
+18    input(&a,&b);
+(gdb) s
+input (a=0x7fff68a0d02c, b=0x7fff68a0d030) at p1final.c:4
+4     printf("enter the 2 numbers\n");
+(gdb) n
+enter the 2 numbers
+5     scanf("%d%d",&*a,&*b);
+(gdb) n
+3
+6
+6   }
+(gdb) p a
+$1 = (int *) 0x7fff68a0d02c
+(gdb) p b
+$2 = (int *) 0x7fff68a0d030
+(gdb) n
+main () at p1final.c:19
+19    add(a,b,&sum);
+(gdb) p a
+$3 = 3
+(gdb) p b
+$4 = 6
+(gdb) s
+add (a=3, b=6, sum=0x7fff68a0d034) at p1final.c:9
+9     *sum=a+b;
+(gdb) n
+10  }
+(gdb) n
+main () at p1final.c:20
+20    output(a,b,sum);
+(gdb) p sum
+$5 = 9
+(gdb) s
+output (a=3, b=6, sum=9) at p1final.c:13
+13    printf("sum of %d + %d is %d",a,b,sum);
+(gdb) n
+14  }
+(gdb) n
+main () at p1final.c:21
+21  }
+(gdb) c
+Continuing.
+sum of 3 + 6 is 9[Inferior 1 (process 112) exited normally]
+(gdb) q
\ No newline at end of file
diff --git a/p1final.c b/p1final.c
index e69de29b..69165c9a 100644
--- a/p1final.c
+++ b/p1final.c
@@ -0,0 +1,21 @@
+#include <stdio.h>
+void input(int *a,int *b)
+{
+  printf("enter the 2 numbers\n");
+  scanf("%d%d",&*a,&*b);
+}
+void add(int a,int b,int *sum)
+{
+  *sum=a+b;
+}
+void output(int a,int b,int sum)
+{
+  printf("sum of %d + %d is %d",a,b,sum);
+}
+int main()
+{
+  int a,b,sum;
+  input(&a,&b);
+  add(a,b,&sum);
+  output(a,b,sum);
+}
diff --git a/p1original.c b/p1original.c
index 7c111322..69165c9a 100644
--- a/p1original.c
+++ b/p1original.c
@@ -1,2 +1,21 @@
-
-}
\ No newline at end of file
+#include <stdio.h>
+void input(int *a,int *b)
+{
+  printf("enter the 2 numbers\n");
+  scanf("%d%d",&*a,&*b);
+}
+void add(int a,int b,int *sum)
+{
+  *sum=a+b;
+}
+void output(int a,int b,int sum)
+{
+  printf("sum of %d + %d is %d",a,b,sum);
+}
+int main()
+{
+  int a,b,sum;
+  input(&a,&b);
+  add(a,b,&sum);
+  output(a,b,sum);
+}
diff --git a/p2debuglog.txt b/p2debuglog.txt
index e69de29b..723e0245 100644
--- a/p2debuglog.txt
+++ b/p2debuglog.txt
@@ -0,0 +1,95 @@
+ gdb a.out
+GNU gdb (Ubuntu 8.1.1-0ubuntu1) 8.1.1
+Copyright (C) 2018 Free Software Foundation, Inc.
+License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>
+This is free software: you are free to change and redistribute it.
+There is NO WARRANTY, to the extent permitted by law.  Type "show copying"
+and "show warranty" for details.
+This GDB was configured as "x86_64-linux-gnu".
+Type "show configuration" for configuration details.
+For bug reporting instructions, please see:
+<http://www.gnu.org/software/gdb/bugs/>.
+Find the GDB manual and other documentation resources online at:
+<http://www.gnu.org/software/gdb/documentation/>.
+For help, type "help".
+Type "apropos word" to search for commands related to "word"...
+Reading symbols from a.out...done.
+(gdb) b main
+Breakpoint 1 at 0x839: file p2final.c, line 19.
+(gdb) r
+Starting program: /home/runner/pps-IA1-practice-2/a.out 
+warning: Error disabling address space randomization: Operation not permitted
+
+Breakpoint 1, main () at p2final.c:19
+19    int a=input();
+(gdb) s
+input () at p2final.c:3
+3   {
+(gdb) n
+5     printf("enter the number\n");
+(gdb) n
+enter the number
+6     scanf("%d",&a);
+(gdb) n
+90
+7     return a;
+(gdb) n
+8   }
+(gdb) n
+main () at p2final.c:20
+20    int b=input();
+(gdb) p a
+$1 = 90
+(gdb) s
+input () at p2final.c:3
+3   {
+(gdb) n
+5     printf("enter the number\n");
+(gdb) n
+enter the number
+6     scanf("%d",&a);
+(gdb) n
+56
+7     return a;
+(gdb) n
+8   }
+(gdb) n
+main () at p2final.c:21
+21    int c=input();
+(gdb) s
+input () at p2final.c:3
+3   {
+(gdb) n
+5     printf("enter the number\n");
+(gdb) n
+enter the number
+6     scanf("%d",&a);
+(gdb) n
+10
+7     return a;
+(gdb) n
+8   }
+22    int largest=cmp(a,b,c);
+(gdb) s
+cmp (a=90, b=56, c=10) at p2final.c:11
+11    return a>b?a>c?a:c:b>a?b>c?b:c:a;
+(gdb) n
+12  }
+(gdb) n
+main () at p2final.c:23
+23    output(a,b,c,largest);
+(gdb) p largest
+$3 = 90
+(gdb) s
+output (a=90, b=56, c=10, largest=90) at p2final.c:15
+15    printf("the largest number of %d %d and %d is %d\n",a,b,c,largest);
+(gdb) n
+the largest number of 90 56 and 10 is 90
+16  }
+(gdb) n
+main () at p2final.c:24
+24  }
+(gdb) c
+Continuing.
+[Inferior 1 (process 185) exited normally]
+(gdb) q
\ No newline at end of file
diff --git a/p2final.c b/p2final.c
index e69de29b..be6f563d 100644
--- a/p2final.c
+++ b/p2final.c
@@ -0,0 +1,24 @@
+#include <stdio.h>
+int input()
+{
+  int a;
+  printf("enter the number\n");
+  scanf("%d",&a);
+  return a;
+}
+int cmp(int a,int b,int c)
+{
+  return a>b?a>c?a:c:b>a?b>c?b:c:a;
+}
+void output(int a,int b,int c,int largest)
+{
+  printf("the largest number of %d %d and %d is %d\n",a,b,c,largest);
+}
+int main()
+{
+  int a=input();
+  int b=input();
+  int c=input();
+  int largest=cmp(a,b,c);
+  output(a,b,c,largest);
+}
diff --git a/p2original.c b/p2original.c
index e69de29b..4a211811 100644
--- a/p2original.c
+++ b/p2original.c
@@ -0,0 +1,37 @@
+#include <stdio.h>
+int input()
+{
+  int a;
+  printf("enter the number\n");
+  scanf("%d",&a);
+  return a;
+}
+int cmp(int a,int b,int c)
+{
+  if(a<b)
+  {
+    if(b<c)
+      return b;
+    else
+      return c;
+  }
+  else if(b<a)
+  {
+    if(a>c)
+      return a;
+    else
+      return c;
+  }
+}
+void output(int a,int b,int c,int largest)
+{
+  printf("the largest number of %d %d and %d is %d\n",a,b,c,largest);
+}
+int main()
+{
+  int a=input();
+  int b=input();
+  int c=input();
+  int largest=cmp(a,b,c);
+  output(a,b,c,largest);
+}
diff --git a/p3debuglog.txt b/p3debuglog.txt
index e69de29b..11e4f7e5 100644
--- a/p3debuglog.txt
+++ b/p3debuglog.txt
@@ -0,0 +1,108 @@
+ gdb a.out
+GNU gdb (Ubuntu 8.1.1-0ubuntu1) 8.1.1
+Copyright (C) 2018 Free Software Foundation, Inc.
+License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>
+This is free software: you are free to change and redistribute it.
+There is NO WARRANTY, to the extent permitted by law.  Type "show copying"
+and "show warranty" for details.
+This GDB was configured as "x86_64-linux-gnu".
+Type "show configuration" for configuration details.
+For bug reporting instructions, please see:
+<http://www.gnu.org/software/gdb/bugs/>.
+Find the GDB manual and other documentation resources online at:
+<http://www.gnu.org/software/gdb/documentation/>.
+For help, type "help".
+Type "apropos word" to search for commands related to "word"...
+Reading symbols from a.out...done.
+(gdb) b main
+Breakpoint 1 at 0x83d: file p3final.c, line 23.
+(gdb) r
+Starting program: /home/runner/pps-IA1-practice-2/a.out 
+warning: Error disabling address space randomization: Operation not permitted
+
+Breakpoint 1, main () at p3final.c:23
+23    printf("enter the limit\n");
+(gdb) n
+enter the limit
+24    int n=input_n();
+(gdb) s
+input_n () at p3final.c:3
+3   {
+(gdb) n
+5     scanf("%d",&a);
+(gdb) 3
+Undefined command: "3".  Try "help".
+(gdb) n
+3
+6     return a;
+(gdb) n
+7   }
+(gdb) n
+main () at p3final.c:25
+25    int sum=sum_n(n);
+(gdb) p n
+$1 = 3
+(gdb) s
+sum_n (n=3) at p3final.c:10
+10    int sum=0;
+(gdb) n
+11    for(int i=1;i<=n;i++)
+(gdb) p i
+$2 = 1574748203
+(gdb) n
+12       sum=sum+i;
+(gdb) p i
+$3 = 1
+(gdb) n
+11    for(int i=1;i<=n;i++)
+(gdb) p sum
+$4 = 1
+(gdb) n
+12       sum=sum+i;
+(gdb) p i
+$5 = 2
+(gdb) n
+11    for(int i=1;i<=n;i++)
+(gdb) p sum
+$6 = 3
+(gdb) n
+12       sum=sum+i;
+(gdb) p i
+$7 = 3
+(gdb) n
+11    for(int i=1;i<=n;i++)
+(gdb) n
+13    return sum;
+(gdb) p sum
+$8 = 6
+(gdb) n
+14  }
+(gdb) n
+main () at p3final.c:26
+26    output(n,sum);
+(gdb) s
+output (n=3, sum=6) at p3final.c:17
+17    for(int i=1;i<n;i++)
+(gdb) n
+18       printf("%d+",i);
+(gdb) p i
+$9 = 1
+(gdb) n
+17    for(int i=1;i<n;i++)
+(gdb) n
+18       printf("%d+",i);
+(gdb) p i
+$10 = 2
+(gdb) n
+17    for(int i=1;i<n;i++)
+(gdb) n
+19    printf("%d=%d",n,sum);
+(gdb) n
+20  }
+(gdb) n
+main () at p3final.c:27
+27  }
+(gdb) c
+Continuing.
+1+2+3=6[Inferior 1 (process 44) exited normally]
+(gdb) q
\ No newline at end of file
diff --git a/p3final.c b/p3final.c
index e69de29b..2a41f4bd 100644
--- a/p3final.c
+++ b/p3final.c
@@ -0,0 +1,28 @@
+#include <stdio.h>
+int input_n()
+{
+  int a;
+  scanf("%d",&a);
+  return a;
+}
+int sum_n(int n)
+{
+  int sum=0;
+  for(int i=1;i<=n;i++)
+     sum=sum+i;
+  return sum;
+}
+void output(int n,int sum)
+{
+  for(int i=1;i<n;i++)
+     printf("%d+",i);
+  printf("%d=%d",n,sum);
+}
+int main()
+{
+  printf("enter the limit\n");
+  int n=input_n();
+  int sum=sum_n(n);
+  output(n,sum);
+}
+
diff --git a/p3original.c b/p3original.c
index e69de29b..2a41f4bd 100644
--- a/p3original.c
+++ b/p3original.c
@@ -0,0 +1,28 @@
+#include <stdio.h>
+int input_n()
+{
+  int a;
+  scanf("%d",&a);
+  return a;
+}
+int sum_n(int n)
+{
+  int sum=0;
+  for(int i=1;i<=n;i++)
+     sum=sum+i;
+  return sum;
+}
+void output(int n,int sum)
+{
+  for(int i=1;i<n;i++)
+     printf("%d+",i);
+  printf("%d=%d",n,sum);
+}
+int main()
+{
+  printf("enter the limit\n");
+  int n=input_n();
+  int sum=sum_n(n);
+  output(n,sum);
+}
+
diff --git a/p4debuglog.txt b/p4debuglog.txt
index e69de29b..ccf60942 100644
--- a/p4debuglog.txt
+++ b/p4debuglog.txt
@@ -0,0 +1,151 @@
+ gdb a.out
+GNU gdb (Ubuntu 8.1.1-0ubuntu1) 8.1.1
+Copyright (C) 2018 Free Software Foundation, Inc.
+License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>
+This is free software: you are free to change and redistribute it.
+There is NO WARRANTY, to the extent permitted by law.  Type "show copying"
+and "show warranty" for details.
+This GDB was configured as "x86_64-linux-gnu".
+Type "show configuration" for configuration details.
+For bug reporting instructions, please see:
+<http://www.gnu.org/software/gdb/bugs/>.
+Find the GDB manual and other documentation resources online at:
+<http://www.gnu.org/software/gdb/documentation/>.
+For help, type "help".
+Type "apropos word" to search for commands related to "word"...
+Reading symbols from a.out...done.
+(gdb) b main
+Breakpoint 1 at 0x8d9: file p4final.c, line 31.
+(gdb) r
+Starting program: /home/runner/pps-IA1-practice-2/a.out 
+warning: Error disabling address space randomization: Operation not permitted
+
+Breakpoint 1, main () at p4final.c:31
+31  {
+(gdb) n
+32    printf("enter the array size\n");
+(gdb) n
+enter the array size
+33    int n=input_array_size();
+(gdb) s
+input_array_size () at p4final.c:3
+3   {
+(gdb) n
+5     scanf("%d",&a);
+(gdb) n
+3
+6     return a;
+(gdb) n
+7   }
+(gdb) n
+main () at p4final.c:34
+34    int a[n];
+(gdb) p n
+$1 = 3
+(gdb) n
+35    printf("enter the array\n");
+(gdb) n
+enter the array
+36    input_array(n,a);
+(gdb) s
+input_array (n=3, a=0x7ffd183c1870) at p4final.c:10
+10    for(int i=0;i<n;i++)
+(gdb) p i
+$2 = 0
+(gdb) n
+12      scanf("%d",&a[i]);
+(gdb) n
+13
+10    for(int i=0;i<n;i++)
+(gdb) p i
+$3 = 0
+(gdb) n
+12      scanf("%d",&a[i]);
+(gdb) p i
+$4 = 1
+(gdb) n
+34
+10    for(int i=0;i<n;i++)
+(gdb) n
+12      scanf("%d",&a[i]);
+(gdb) p i
+$5 = 2
+(gdb) n
+13
+10    for(int i=0;i<n;i++)
+(gdb) n
+14  }
+(gdb) n
+main () at p4final.c:37
+37    int sum=sum_n_arrays(n,a);
+(gdb) s
+sum_n_arrays (n=3, a=0x7ffd183c1870) at p4final.c:17
+17    int sum=0;
+(gdb) n
+18    for(int i=0;i<n;i++)
+(gdb) n
+20      sum=sum+a[i];
+(gdb) p i
+$6 = 0
+(gdb) n
+18    for(int i=0;i<n;i++)
+(gdb) p sum
+$7 = 13
+(gdb) n
+20      sum=sum+a[i];
+(gdb) p i
+$8 = 1
+(gdb) n
+18    for(int i=0;i<n;i++)
+(gdb) p sum
+$9 = 47
+(gdb) n
+20      sum=sum+a[i];
+(gdb) p i
+$10 = 2
+(gdb) n
+18    for(int i=0;i<n;i++)
+(gdb) p sum
+$11 = 60
+(gdb) n
+22    return sum;
+(gdb) n
+23  }
+(gdb) n
+main () at p4final.c:38
+38    out_put(n, a, sum);
+(gdb) s
+out_put (n=3, a=0x7ffd183c1870, sum=60) at p4final.c:26
+26    for(int i=0;i<n-1;i++)
+(gdb) n
+27       printf("%d+",a[i]);
+(gdb) p i
+$12 = 0
+(gdb) p a[0]
+$13 = 13
+(gdb) n
+26    for(int i=0;i<n-1;i++)
+(gdb) n
+27       printf("%d+",a[i]);
+(gdb) p i
+$14 = 1
+(gdb) p a[1]
+$15 = 34
+(gdb) n
+26    for(int i=0;i<n-1;i++)
+(gdb) n
+28    printf("%d=%d",a[n-1],sum);
+(gdb) p i
+No symbol "i" in current context.
+(gdb) p a[n-1]
+$16 = 13
+(gdb) p sum
+$17 = 60
+(gdb) n
+29  }
+(gdb) n
+main () at p4final.c:39
+39  }(gdb) c
+Continuing.
+13+34+13=60[Inferior 1 (process 65) exited normally]
+(gdb) q
\ No newline at end of file
diff --git a/p4final.c b/p4final.c
index e69de29b..b896ba15 100644
--- a/p4final.c
+++ b/p4final.c
@@ -0,0 +1,39 @@
+#include <stdio.h>
+int input_array_size()
+{
+  int a;
+  scanf("%d",&a);
+  return a;
+}
+void input_array(int n, int a[n])
+{
+  for(int i=0;i<n;i++)
+  {
+    scanf("%d",&a[i]);
+  }
+}
+int sum_n_arrays(int n, int a[n])
+{
+  int sum=0;
+  for(int i=0;i<n;i++)
+  {
+    sum=sum+a[i];
+  }
+  return sum;
+}
+void out_put(int n, int a[n], int sum)
+{
+  for(int i=0;i<n-1;i++)
+     printf("%d+",a[i]);
+  printf("%d=%d",a[n-1],sum);
+}
+int main()
+{
+  printf("enter the array size\n");
+  int n=input_array_size();
+  int a[n];
+  printf("enter the array\n");
+  input_array(n,a);
+  int sum=sum_n_arrays(n,a);
+  out_put(n, a, sum);
+}
\ No newline at end of file
diff --git a/p4original.c b/p4original.c
index e69de29b..b896ba15 100644
--- a/p4original.c
+++ b/p4original.c
@@ -0,0 +1,39 @@
+#include <stdio.h>
+int input_array_size()
+{
+  int a;
+  scanf("%d",&a);
+  return a;
+}
+void input_array(int n, int a[n])
+{
+  for(int i=0;i<n;i++)
+  {
+    scanf("%d",&a[i]);
+  }
+}
+int sum_n_arrays(int n, int a[n])
+{
+  int sum=0;
+  for(int i=0;i<n;i++)
+  {
+    sum=sum+a[i];
+  }
+  return sum;
+}
+void out_put(int n, int a[n], int sum)
+{
+  for(int i=0;i<n-1;i++)
+     printf("%d+",a[i]);
+  printf("%d=%d",a[n-1],sum);
+}
+int main()
+{
+  printf("enter the array size\n");
+  int n=input_array_size();
+  int a[n];
+  printf("enter the array\n");
+  input_array(n,a);
+  int sum=sum_n_arrays(n,a);
+  out_put(n, a, sum);
+}
\ No newline at end of file
diff --git a/p5debuglog.txt b/p5debuglog.txt
index e69de29b..b1d7c970 100644
--- a/p5debuglog.txt
+++ b/p5debuglog.txt
@@ -0,0 +1,112 @@
+ gdb a.out
+GNU gdb (Ubuntu 8.1.1-0ubuntu1) 8.1.1
+Copyright (C) 2018 Free Software Foundation, Inc.
+License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>
+This is free software: you are free to change and redistribute it.
+There is NO WARRANTY, to the extent permitted by law.  Type "show copying"
+and "show warranty" for details.
+This GDB was configured as "x86_64-linux-gnu".
+Type "show configuration" for configuration details.
+For bug reporting instructions, please see:
+<http://www.gnu.org/software/gdb/bugs/>.
+Find the GDB manual and other documentation resources online at:
+<http://www.gnu.org/software/gdb/documentation/>.
+For help, type "help".
+Type "apropos word" to search for commands related to "word"...
+Reading symbols from a.out...done.
+(gdb) b main
+Breakpoint 1 at 0x884: file p5final.c, line 25.
+(gdb) r
+Starting program: /home/runner/pps-IA1-practice-2/a.out 
+warning: Error disabling address space randomization: Operation not permitted
+
+Breakpoint 1, main () at p5final.c:25
+25    printf("enter the number\n");
+(gdb) n
+enter the number
+26    float n=input();
+(gdb) s
+input () at p5final.c:3
+3   {
+(gdb) n
+5     scanf("%f",&a);
+(gdb) n
+5
+6     return a;
+(gdb) p a
+$1 = 5
+(gdb) n
+7   }
+(gdb) n
+main () at p5final.c:27
+27    output(n,my_sqrt(n));
+(gdb) p n
+$2 = 5
+(gdb) s
+my_sqrt (n=5) at p5final.c:10
+10    float x=0.5*(4+n/4);
+(gdb) n
+11    float a=x+1;
+(gdb) p x
+$3 = 2.625
+(gdb) n
+12    while(a-x>0.00001)
+(gdb) p a
+$4 = 3.625
+(gdb) n
+14      a=x;
+(gdb) n
+15      x=0.5*(x+n/x);
+(gdb) p a
+$5 = 2.625
+(gdb) n
+12    while(a-x>0.00001)
+(gdb) p x
+$6 = 2.2648809
+(gdb) n
+14      a=x;
+(gdb) n
+15      x=0.5*(x+n/x);
+(gdb) p a
+$7 = 2.2648809
+(gdb) n
+12    while(a-x>0.00001)
+(gdb) p x
+$8 = 2.23625135
+(gdb) n
+14      a=x;
+(gdb) n
+15      x=0.5*(x+n/x);
+(gdb) p a
+$9 = 2.23625135
+(gdb) n
+12    while(a-x>0.00001)
+(gdb) p x
+$10 = 2.23606801
+(gdb) n
+14      a=x;
+(gdb) n
+15      x=0.5*(x+n/x);
+(gdb) p a
+$11 = 2.23606801
+(gdb) n
+12    while(a-x>0.00001)
+(gdb) p x
+$12 = 2.23606801
+(gdb) n
+17    return x;
+(gdb) n
+18  }
+(gdb) s
+output (n=5, sqrt_result=2.23606801) at p5final.c:21
+21    printf("Square root of %f is %f",n,sqrt_result);
+(gdb) n
+22  }
+(gdb) n
+main () at p5final.c:28
+28  }
+(gdb) c
+Continuing.
+Square root of 5.000000 is 2.236068[Inferior 1 (process 186) exited normally]
+(gdb) q
+
diff --git a/p5final.c b/p5final.c
index e69de29b..759e287a 100644
--- a/p5final.c
+++ b/p5final.c
@@ -0,0 +1,28 @@
+#include <stdio.h>
+float input()
+{
+  float a;
+  scanf("%f",&a);
+  return a;
+}
+float my_sqrt(float n)
+{
+  float x=0.5*(4+n/4);
+  float a=x+1;
+  while(a-x>0.00001)
+  {
+    a=x;
+    x=0.5*(x+n/x);
+  }
+  return x;
+}
+void output(float n, float sqrt_result)
+{
+  printf("Square root of %f is %f",n,sqrt_result);
+}
+int main()
+{
+  printf("enter the number\n");
+  float n=input();
+  output(n,my_sqrt(n));
+}
diff --git a/p5original.c b/p5original.c
index e69de29b..ae7fce63 100644
--- a/p5original.c
+++ b/p5original.c
@@ -0,0 +1,28 @@
+#include <stdio.h>
+float input()
+{
+  float a;
+  scanf("%f",&a);
+  return a;
+}
+float my_sqrt(float n)
+{
+  float x=0.5*(2+n/2);
+  float a=x+1;
+  while(a-x>0.00001)
+  {
+    a=x;
+    x=0.5*(x+n/x);
+  }
+  return x;
+}
+void output(float n, float sqrt_result)
+{
+  printf("Square root of %f is %f",n,sqrt_result);
+}
+int main()
+{
+  printf("enter the number\n");
+  float n=input();
+  output(n,my_sqrt(n));
+}
diff --git a/p6debuglog.txt b/p6debuglog.txt
index e69de29b..f66ac33d 100644
--- a/p6debuglog.txt
+++ b/p6debuglog.txt
@@ -0,0 +1,130 @@
+ gdb a.out
+GNU gdb (Ubuntu 8.1.1-0ubuntu1) 8.1.1
+Copyright (C) 2018 Free Software Foundation, Inc.
+License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>
+This is free software: you are free to change and redistribute it.
+There is NO WARRANTY, to the extent permitted by law.  Type "show copying"
+and "show warranty" for details.
+This GDB was configured as "x86_64-linux-gnu".
+Type "show configuration" for configuration details.
+For bug reporting instructions, please see:
+<http://www.gnu.org/software/gdb/bugs/>.
+Find the GDB manual and other documentation resources online at:
+<http://www.gnu.org/software/gdb/documentation/>.
+For help, type "help".
+Type "apropos word" to search for commands related to "word"...
+Reading symbols from a.out...done.
+(gdb) b main
+Breakpoint 1 at 0x92f: file p6final.c, line 41.
+(gdb) r
+Starting program: /home/runner/pps-IA1-practice-2/a.out 
+warning: Error disabling address space randomization: Operation not permitted
+
+Breakpoint 1, main () at p6final.c:41
+41  {
+(gdb) n
+43    input_two_string(a,b);
+(gdb) s
+input_two_string (a=0x7fffe7638030 "\001", 
+    b=0x7fffe7638050 "\240\t਼U") at p6final.c:4
+4      printf("enter the two strings\n");
+(gdb) n
+enter the two strings
+5      scanf("%s",a);
+(gdb) n
+hi
+6      scanf("%s",b);
+(gdb) n
+good
+7   }
+(gdb) n
+main () at p6final.c:44
+44    output(a,b,strcmp(a,b));
+(gdb) s
+strcmp (a=0x7fffe7638030 "hi", b=0x7fffe7638050 "good") at p6final.c:10
+10    int z=0,w=0;
+(gdb) n
+11    for(int i=0;a[i]!='\0'|| b[i]!='\0';i++)
+(gdb) n
+13      if(a[i]==b[i])
+(gdb) p a[0]
+$1 = 104 'h'
+(gdb) p b[0]
+$2 = 103 'g'
+(gdb) n
+18      else if(a[i]>b[i])
+(gdb) n
+19        z++;
+(gdb) n
+11    for(int i=0;a[i]!='\0'|| b[i]!='\0';i++)
+(gdb) p z
+$3 = 1
+(gdb) n
+13      if(a[i]==b[i])
+(gdb) p a[1]
+$4 = 105 'i'
+(gdb) p b[1]
+$5 = 111 'o'
+(gdb) n
+18      else if(a[i]>b[i])
+(gdb) n
+21        w++;
+(gdb) n
+11    for(int i=0;a[i]!='\0'|| b[i]!='\0';i++)
+(gdb) p z
+$6 = 1
+(gdb) p w
+$7 = 1
+(gdb) n
+13      if(a[i]==b[i])
+(gdb) p a[2]
+$8 = 0 '\000'
+(gdb) p b[2]
+$9 = 111 'o'
+(gdb) n
+18      else if(a[i]>b[i])
+(gdb) n
+21        w++;
+(gdb) n
+11    for(int i=0;a[i]!='\0'|| b[i]!='\0';i++)
+(gdb) p z
+$10 = 1
+(gdb) p w
+$11 = 2
+(gdb) n
+13      if(a[i]==b[i])
+(gdb) p b[3]
+$12 = 0 'd'
+(gdb) n
+18      else if(a[i]>b[i])
+(gdb) n
+21        w++;
+(gdb) n
+11    for(int i=0;a[i]!='\0'|| b[i]!='\0';i++)
+(gdb) p z
+$13 = 1
+(gdb) p w
+$14 = 3
+(gdb) n
+23    if(z>w)
+(gdb) n
+25    else if(z==w)
+(gdb) n
+28     return -1;
+(gdb) n
+30  }
+(gdb) s
+output (a=0x7fffe7638030 "hi", b=0x7fffe7638050 "good", result=-1)
+    at p6final.c:33
+33    if(result<0)
+(gdb) n
+34      printf("%s is greater than %s",b,a);
+(gdb) n
+39  }
+(gdb) n
+main () at p6final.c:45
+45  }
+(gdb) c
+Continuing.
+good is greater than hi[Inferior 1 (process 334) exited normally]
+(gdb) q
\ No newline at end of file
diff --git a/p6final.c b/p6final.c
index e69de29b..71d3dd34 100644
--- a/p6final.c
+++ b/p6final.c
@@ -0,0 +1,45 @@
+#include <stdio.h>
+void input_two_string(char *a, char *b)
+{
+   printf("enter the two strings\n");
+   scanf("%s",a);
+   scanf("%s",b);
+}
+int strcmp(char *a, char *b)
+{
+  int z=0,w=0;
+  for(int i=0;a[i]!='\0'|| b[i]!='\0';i++)
+  {
+    if(a[i]==b[i])
+    {
+      z++;
+      w++;
+    }
+    else if(a[i]>b[i])
+      z++;
+    else
+      w++;
+  }
+  if(z>w)
+   return 1;
+  else if(z==w)
+   return 0;
+  else 
+   return -1;
+  
+}
+void output(char *a, char *b, int result)
+{
+  if(result<0)
+    printf("%s is greater than %s",b,a);
+  else if(result>0)
+    printf("%s is greater than %s",a,b);
+  else
+    printf("%s is equal to %s",a,b);
+}
+int main()
+{
+  char a[20],b[20];
+  input_two_string(a,b);
+  output(a,b,strcmp(a,b));
+}
diff --git a/p6original.c b/p6original.c
index e69de29b..c221e21f 100644
--- a/p6original.c
+++ b/p6original.c
@@ -0,0 +1,46 @@
+#include <stdio.h>
+void input_two_string(char *a, char *b)
+{
+   printf("enter the two strings\n");
+   scanf("%s",a);
+   scanf("%s",b);
+}
+int strcmp(char *a, char *b)
+{
+  int x=0,y=0;
+  for(int i=0;a[i]!='\0'|| b[i]!='\0';i++)
+  {
+    if(a[i]==b[i])
+    {
+      x++;
+      y++;
+    }
+    else if(a[i]>b[i])
+      x++;
+    else
+      y++;
+  }
+  printf("%d %d",x,y);
+  if(x>y)
+   return 1;
+  else if(x==y)
+   return 0;
+  else 
+   return -1;
+  
+}
+void output(char *a, char *b, int result)
+{
+  if(result<0)
+    printf("%s is greater than %s",b,a);
+  else if(result>0)
+    printf("%s is greater than %s",a,b);
+  else
+    printf("%s is equal to %s",a,b);
+}
+int main()
+{
+  char a[20],b[20];
+  input_two_string(a,b);
+  output(a,b,strcmp(a,b));
+}
diff --git a/p7debuglog.txt b/p7debuglog.txt
index e69de29b..22921603 100644
--- a/p7debuglog.txt
+++ b/p7debuglog.txt
@@ -0,0 +1,86 @@
+ gdb a.out
+GNU gdb (Ubuntu 8.1.1-0ubuntu1) 8.1.1
+Copyright (C) 2018 Free Software Foundation, Inc.
+License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>
+This is free software: you are free to change and redistribute it.
+There is NO WARRANTY, to the extent permitted by law.  Type "show copying"
+and "show warranty" for details.
+This GDB was configured as "x86_64-linux-gnu".
+Type "show configuration" for configuration details.
+For bug reporting instructions, please see:
+<http://www.gnu.org/software/gdb/bugs/>.
+Find the GDB manual and other documentation resources online at:
+<http://www.gnu.org/software/gdb/documentation/>.
+For help, type "help".
+Type "apropos word" to search for commands related to "word"...
+Reading symbols from a.out...done.
+(gdb) b main
+Breakpoint 1 at 0x87c: file p7final.c, line 27.
+(gdb) r
+Starting program: /home/runner/pps-IA1-practice-2/a.out 
+warning: Error disabling address space randomization: Operation not permitted
+
+Breakpoint 1, main () at p7final.c:27
+27    Complex a=input_complex();
+(gdb) s
+input_complex () at p7final.c:8
+8   {
+(gdb) n
+10    printf("enter the complex numbers in format a+bi\n");
+(gdb) n
+enter the complex numbers in format a+bi
+11    scanf("%f %*c %f %*c",&a.real,&a.imaginary);
+(gdb) n
+3+4i
+12    return a;
+(gdb) n
+13  }
+(gdb) n
+main () at p7final.c:28
+28    Complex b=input_complex();
+(gdb) p a
+$1 = {real = 3, imaginary = 4}
+(gdb) s
+input_complex () at p7final.c:8
+8   {
+(gdb) n
+10    printf("enter the complex numbers in format a+bi\n");
+(gdb) n
+enter the complex numbers in format a+bi
+11    scanf("%f %*c %f %*c",&a.real,&a.imaginary);
+(gdb) n
+5+2i
+12    return a;
+(gdb) n
+13  }
+(gdb) n
+main () at p7final.c:29
+29    Complex c=add(a,b);
+(gdb) p b
+$2 = {real = 5, imaginary = 2}
+(gdb) s
+add (a=..., b=...) at p7final.c:17
+17    c.real=a.real+b.real;
+(gdb) n
+18    c.imaginary=a.imaginary+b.imaginary;
+(gdb) n
+19    return c;
+(gdb) p c
+$3 = {real = 8, imaginary = 6}
+(gdb) n
+20  }
+(gdb) n
+main () at p7final.c:30
+30    output(a,b,c);
+(gdb) s
+output (a=..., b=..., c=...) at p7final.c:23
+23    printf("(%0.0f+%0.0fi)+(%0.0f+%0.0fi)=(%0.0f+%0.0fi)",a.real,b.imaginary,b.real,a.imaginary,c.real,c.imaginary);
+(gdb) n
+24  }
+(gdb) n
+main () at p7final.c:31
+31  }
+(gdb) c
+Continuing.
+(3+2i)+(5+4i)=(8+6i)[Inferior 1 (process 413) exited normally]
+(gdb) q
\ No newline at end of file
diff --git a/p7final.c b/p7final.c
index e69de29b..f72b1a64 100644
--- a/p7final.c
+++ b/p7final.c
@@ -0,0 +1,31 @@
+#include <stdio.h>
+struct _complex
+{
+float real,imaginary;
+};
+typedef struct _complex Complex;
+Complex input_complex()
+{
+  Complex a;
+  printf("enter the complex numbers in format a+bi\n");
+  scanf("%f %*c %f %*c",&a.real,&a.imaginary);
+  return a;
+}
+Complex add(Complex a, Complex b)
+{
+  Complex c;
+  c.real=a.real+b.real;
+  c.imaginary=a.imaginary+b.imaginary;
+  return c;
+}
+void output(Complex a, Complex b, Complex c)
+{
+  printf("(%0.0f+%0.0fi)+(%0.0f+%0.0fi)=(%0.0f+%0.0fi)",a.real,b.imaginary,b.real,a.imaginary,c.real,c.imaginary);
+}
+int main()
+{
+  Complex a=input_complex();
+  Complex b=input_complex();
+  Complex c=add(a,b);
+  output(a,b,c);
+}
diff --git a/p7original.c b/p7original.c
index e69de29b..d54edcce 100644
--- a/p7original.c
+++ b/p7original.c
@@ -0,0 +1,31 @@
+#include <stdio.h>
+struct _complex
+{
+float real,imaginary;
+};
+typedef struct _complex Complex;
+Complex input_complex()
+{
+  Complex a;
+  printf("enter the complex numbers in format a+bi\n");
+  scanf("%f + %f i",&a.real,&a.imaginary);
+  return a;
+}
+Complex add(Complex a, Complex b)
+{
+  Complex c;
+  c.real=a.real+b.real;
+  c.imaginary=a.imaginary+b.imaginary;
+  return c;
+}
+void output(Complex a, Complex b, Complex c)
+{
+  printf("(%f+%fi)+(%f+%fi)=(%f+%fi)",a.real,b.imaginary,b.real,a.imaginary,c.real,c.imaginary);
+}
+int main()
+{
+  Complex a=input_complex();
+  Complex b=input_complex();
+  Complex c=add(a,b);
+  output(a,b,c);
+}
diff --git a/p8debuglog.txt b/p8debuglog.txt
index e69de29b..ae93f48a 100644
--- a/p8debuglog.txt
+++ b/p8debuglog.txt
@@ -0,0 +1,141 @@
+ gdb a.out
+GNU gdb (Ubuntu 8.1.1-0ubuntu1) 8.1.1
+Copyright (C) 2018 Free Software Foundation, Inc.
+License GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>
+This is free software: you are free to change and redistribute it.
+There is NO WARRANTY, to the extent permitted by law.  Type "show copying"
+and "show warranty" for details.
+This GDB was configured as "x86_64-linux-gnu".
+Type "show configuration" for configuration details.
+For bug reporting instructions, please see:
+<http://www.gnu.org/software/gdb/bugs/>.
+Find the GDB manual and other documentation resources online at:
+<http://www.gnu.org/software/gdb/documentation/>.
+For help, type "help".
+Type "apropos word" to search for commands related to "word"...
+Reading symbols from a.out...done.
+(gdb) b main
+Breakpoint 1 at 0x9cd: file p8final.c, line 46.
+(gdb) r
+Starting program: /home/runner/pps-IA1-practice-2/a.out 
+warning: Error disabling address space randomization: Operation not permitted
+
+Breakpoint 1, main () at p8final.c:46
+46  {
+(gdb) n
+47    printf("enter the limit\n");
+(gdb) n
+enter the limit
+48    int n=get_n();
+(gdb) s
+get_n () at p8final.c:8
+8   {
+(gdb) n
+10    scanf("%d",&a);
+(gdb) n
+2
+11    return a;
+(gdb) n
+12  }
+(gdb) n
+main () at p8final.c:49
+49    Complex c[n];
+(gdb) p n
+$1 = 2
+(gdb) n
+50    input_n_complex(n,c);
+(gdb) s
+input_n_complex (n=2, c=0x7ffdfc892340) at p8final.c:16
+16    printf("enter the complex numbers in format a+bi\n");
+(gdb) n
+enter the complex numbers in format a+bi
+17    for(int i=0;i<n;i++)
+(gdb) n
+18    scanf("%f %*c %f %*c",&c[i].real,&c[i].imaginary);
+(gdb) n
+2+3i
+17    for(int i=0;i<n;i++)
+(gdb) n
+18    scanf("%f %*c %f %*c",&c[i].real,&c[i].imaginary);
+(gdb) n
+4+5i
+17    for(int i=0;i<n;i++)
+(gdb) n
+19  }
+(gdb) n
+main () at p8final.c:51
+51    Complex result=add_n_complex(n,c);
+(gdb) s
+add_n_complex (n=2, c=0x7ffdfc892340) at p8final.c:30
+30    sum.real=0;sum.imaginary=0;
+(gdb) n
+31    for(int i=0;i<n;i++)
+(gdb) n
+33      sum=add(c[i],sum);
+(gdb) p i
+$2 = 0
+(gdb) s
+add (a=..., b=...) at p8final.c:23
+23    c.real=a.real+b.real;
+(gdb) n
+24    c.imaginary=a.imaginary+b.imaginary;
+(gdb) n
+25    return c;
+(gdb) p c
+$3 = {real = 2, imaginary = 3}
+(gdb) n
+26  }
+(gdb) n
+add_n_complex (n=2, c=0x7ffdfc892340) at p8final.c:31
+31    for(int i=0;i<n;i++)
+(gdb) p sum
+$4 = {real = 2, imaginary = 3}
+(gdb) n
+33      sum=add(c[i],sum);
+(gdb) s
+add (a=..., b=...) at p8final.c:23
+23    c.real=a.real+b.real;
+(gdb) n
+24    c.imaginary=a.imaginary+b.imaginary;
+(gdb) n
+25    return c;
+(gdb) p c
+$5 = {real = 6, imaginary = 8}
+(gdb) n
+26  }
+(gdb) n
+add_n_complex (n=2, c=0x7ffdfc892340) at p8final.c:31
+31    for(int i=0;i<n;i++)
+(gdb) p sum
+$6 = {real = 6, imaginary = 8}
+(gdb) n
+35    return sum;
+(gdb) n
+36  }
+(gdb) n
+main () at p8final.c:52
+52    output(n,c,result);
+(gdb) p result
+$7 = {real = 6, imaginary = 8}
+(gdb) s
+output (n=2, c=0x7ffe578238b0, result=...) at p8final.c:39
+39    for(int i=0;i<n-1;i++)
+(gdb) n
+41      printf("(%0.0f+%0.0fi)+",c[i].real,c[i].imaginary);
+(gdb) n
+39    for(int i=0;i<n-1;i++)
+(gdb) p c[0]
+$8 = {real = 2, imaginary = 3}
+(gdb) n
+43    printf("(%0.0f+%0.0fi)=(%0.0f+%0.0fi)",c[n-1].real,c[n-1].imaginary,result.real,result.imaginary);
+(gdb) p c[1]
+$9 = {real = 4, imaginary = 5}
+(gdb) n
+44  }
+(gdb) n
+main () at p8final.c:53
+53  }
+(gdb) c
+Continuing.
+(2+3i)+(4+5i)=(6+8i)[Inferior 1 (process 497) exited normally]
+(gdb) q
\ No newline at end of file
diff --git a/p8final.c b/p8final.c
index e69de29b..b9094e8b 100644
--- a/p8final.c
+++ b/p8final.c
@@ -0,0 +1,53 @@
+#include <stdio.h>
+struct _complex
+{
+float real,imaginary;
+};
+typedef struct _complex Complex;
+int get_n()
+{
+  int a;
+  scanf("%d",&a);
+  return a;
+}
+void input_n_complex(int n, Complex c[n])
+{
+  Complex a;
+  printf("enter the complex numbers in format a+bi\n");
+  for(int i=0;i<n;i++)
+  scanf("%f %*c %f %*c",&c[i].real,&c[i].imaginary);
+}
+Complex add(Complex a, Complex b)
+{
+  Complex c;
+  c.real=a.real+b.real;
+  c.imaginary=a.imaginary+b.imaginary;
+  return c;
+}
+Complex add_n_complex(int n,Complex c[n])
+{
+  Complex sum;
+  sum.real=0;sum.imaginary=0;
+  for(int i=0;i<n;i++)
+  {
+    sum=add(c[i],sum);
+  }
+  return sum;
+}
+void output(int n, Complex c[n], Complex result)
+{
+  for(int i=0;i<n-1;i++)
+  {
+    printf("(%0.0f+%0.0fi)+",c[i].real,c[i].imaginary);
+  }
+  printf("(%0.0f+%0.0fi)=(%0.0f+%0.0fi)",c[n-1].real,c[n-1].imaginary,result.real,result.imaginary);
+}
+int main()
+{
+  printf("enter the limit\n");
+  int n=get_n();
+  Complex c[n];
+  input_n_complex(n,c);
+  Complex result=add_n_complex(n,c);
+  output(n,c,result);
+}
diff --git a/p8original.c b/p8original.c
index e69de29b..cc7b02fb 100644
--- a/p8original.c
+++ b/p8original.c
@@ -0,0 +1,54 @@
+#include <stdio.h>
+struct _complex
+{
+float real,imaginary;
+};
+typedef struct _complex Complex;
+int get_n()
+{
+  int a;
+  scanf("%d",&a);
+  return a;
+}
+void input_n_complex(int n, Complex c[n])
+{
+  Complex a;
+  printf("enter the complex numbers in format a+bi\n");
+  for(int i=0;i<n;i++)
+  scanf("%f + %f i",&c[i].real,&c[i].imaginary);
+}
+Complex add(Complex a, Complex b)
+{
+  Complex c;
+  c.real=a.real+b.real;
+  c.imaginary=a.imaginary+b.imaginary;
+  return c;
+}
+Complex add_n_complex(int n,Complex c[n])
+{
+  Complex sum;
+  sum.real=0;sum.imaginary=0;
+  for(int i=0;i<n;i++)
+  {
+    sum=add(c[i],sum);
+  }
+  return sum;
+}
+void output(int n, Complex c[n], Complex result)
+{
+  for(int i=0;i<n-1;i++)
+  {
+    printf("(%f+%fi)+",c[i].real,c[i].imaginary);
+  }
+  printf("(%f+%fi)=(%f+%fi)",c[n-1].real,c[n-1].imaginary,result.real,result.imaginary);
+}
+int main()
+{
+  printf("enter the limit\n");
+  int n=get_n();
+  Complex c[n];
+  input_n_complex(n,c);
+  Complex result=add_n_complex(n,c);
+  printf("%f%f",result.real,result.imaginary);
+  output(n,c,result);
+}