From b390b8769fa8ff04be8eb9720a1ce4f8245b534d Mon Sep 17 00:00:00 2001 From: Sumalatha Salapu Date: Thu, 24 Oct 2024 00:09:04 +0530 Subject: [PATCH 1/4] Create Floyd-Warshall Algorithm.c --- .../Floyd-Warshall Algorithm.c | 68 +++++++++++++++++++ 1 file changed, 68 insertions(+) create mode 100644 Dynamic Programming/Floyd-Warshall Algorithm.c diff --git a/Dynamic Programming/Floyd-Warshall Algorithm.c b/Dynamic Programming/Floyd-Warshall Algorithm.c new file mode 100644 index 00000000..fa149e38 --- /dev/null +++ b/Dynamic Programming/Floyd-Warshall Algorithm.c @@ -0,0 +1,68 @@ +#include + +#define INF 99999 //large number representing infinity + +// Number of vertices in the graph +#define V 4 + +// Function to print the shortest distance matrix +void printSolution(int dist[][V]) { + printf("The following matrix shows the shortest distances between every pair of vertices:\n"); + for (int i = 0; i < V; i++) { + for (int j = 0; j < V; j++) { + if (dist[i][j] == INF) + printf("%7s", "INF"); + else + printf("%7d", dist[i][j]); + } + printf("\n"); + } +} + +// Function to implement the Floyd-Warshall algorithm +void floydWarshall(int graph[][V]) { + int dist[V][V], i, j, k; + + // Initialize the solution matrix same as the input graph matrix + for (i = 0; i < V; i++) + for (j = 0; j < V; j++) + dist[i][j] = graph[i][j]; + + // Apply Floyd-Warshall Algorithm + for (k = 0; k < V; k++) { + // Pick all vertices as source one by one + for (i = 0; i < V; i++) { + // Pick all vertices as destination for the above picked source + for (j = 0; j < V; j++) { + // If vertex k is on the shortest path from i to j, update the value of dist[i][j] + if (dist[i][k] + dist[k][j] < dist[i][j]) + dist[i][j] = dist[i][k] + dist[k][j]; + } + } + } + + + printSolution(dist); +} + + +int main() { + /* Let us create the following weighted graph as an example + 10 + (0)------(3) + | / | + 5 | 1 | + | / | + (1)------(2) + 3 + */ + int graph[V][V] = { {0, 5, INF, 10}, + {INF, 0, 3, INF}, + {INF, INF, 0, 1}, + {INF, INF, INF, 0} + }; + + floydWarshall(graph); + + return 0; +} From 251dc62c8105290777116b471406c80e7f99063a Mon Sep 17 00:00:00 2001 From: Sumalatha Salapu Date: Mon, 28 Oct 2024 12:01:26 +0530 Subject: [PATCH 2/4] Added Algorithm --- Bit Manipulation/Count set bits/README.md | 20 +++++++++++++++++++ Bit Manipulation/Count set bits/program.c | 21 ++++++++++++++++++++ Bit Manipulation/Count set bits/program.exe | Bin 0 -> 42420 bytes 3 files changed, 41 insertions(+) create mode 100644 Bit Manipulation/Count set bits/README.md create mode 100644 Bit Manipulation/Count set bits/program.c create mode 100644 Bit Manipulation/Count set bits/program.exe diff --git a/Bit Manipulation/Count set bits/README.md b/Bit Manipulation/Count set bits/README.md new file mode 100644 index 00000000..420a5cd0 --- /dev/null +++ b/Bit Manipulation/Count set bits/README.md @@ -0,0 +1,20 @@ +# Count the Number of Set Bits + +## Description +This algorithm counts the number of 1 bits (set bits) in the binary representation of a given integer. Counting set bits is useful in various fields like cryptography, networking, and data compression. + +## Example Usage +Enter an integer: 29 +Number of set bits in 29 is 4 + +## Complexity +** Time Complexity **: +O(number of set bits) — The loop runs once for each set bit. + +** Space Complexity **: +O(1) — Constant space usage. + +## Applications +- Cryptography: For analyzing binary data. +- Networking: Useful for IP address and network mask operations. +- Data Compression: Helps in efficient data encoding and decoding \ No newline at end of file diff --git a/Bit Manipulation/Count set bits/program.c b/Bit Manipulation/Count set bits/program.c new file mode 100644 index 00000000..dc2a5ce5 --- /dev/null +++ b/Bit Manipulation/Count set bits/program.c @@ -0,0 +1,21 @@ +#include + +int countSetBits(int n) { + int count = 0; + while (n > 0) { + n = n & (n - 1); // Removes the rightmost set bit + count++; + } + return count; +} + +int main() { + int num; + printf("Enter an integer: "); + scanf("%d", &num); + + int result = countSetBits(num); + printf("Number of set bits in %d is %d\n", num, result); + + return 0; +} diff --git a/Bit Manipulation/Count set bits/program.exe b/Bit Manipulation/Count set bits/program.exe new file mode 100644 index 0000000000000000000000000000000000000000..58598812ffa1938f0eafbb3b4f39a44d2a791f78 GIT binary patch literal 42420 zcmeHw3w%`7wf8qWCWoqTRhIUtLTg%$E>Lyohb#rrz>ZK)M5`4X_EgCgaS)Nk4QCILQqXe#HfF zqyYTUa*6B3m`mUi0ny;lFCx)_^2dnVKj+u6ow3QI5EgA=EHnz-0Hv$mjZl}R&B6}} zM7okPQO6oqwkExTSw3@T)v$0N=kBDZNm-e zL3JB-a6GkV#4Vr!W69s)*7tf8Q*xQm z%?8tdMXIw$?M7*o5gynZ#xb<3s~f3kSvc9pGr26jSBM|giB1+ei40CTcpu2M^Ib38 zNc2mtL9w^E6R!h?scdECg?=z0H&ye{IzrnK=XN-=vY6&b3;i?+;(Y*;9j;c+Dm!@Xp)FZ#XCfiM zn8BQ6!ux23jv`=l3HCcHtc+kU0~Y!KKfy_yLvqNSh+@y23;iq}Ij1Ox_&Rqmlt;{V zIOqnXVc10L4gC-(+LW}=Vu%~5FaO!huH3X)ysm%_m52&SikrkHd4~f6`%g=_PXy`= zDkJ0rFaN>J-fi%2(2&u?llDNp(DPP%ihP*C$o~gxet7z6P<5?0>>r*!fb_P=f%;g6 z3P~ngmw|mQ6@1n~F7#tC)xpp%L1gS~6yiH30-LlIaHrNsD$dk_=i#gVv(B9is&$@M 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Algorithm.c b/Dynamic Programming/Floyd-Warshall Algorithm.c deleted file mode 100644 index fa149e38..00000000 --- a/Dynamic Programming/Floyd-Warshall Algorithm.c +++ /dev/null @@ -1,68 +0,0 @@ -#include - -#define INF 99999 //large number representing infinity - -// Number of vertices in the graph -#define V 4 - -// Function to print the shortest distance matrix -void printSolution(int dist[][V]) { - printf("The following matrix shows the shortest distances between every pair of vertices:\n"); - for (int i = 0; i < V; i++) { - for (int j = 0; j < V; j++) { - if (dist[i][j] == INF) - printf("%7s", "INF"); - else - printf("%7d", dist[i][j]); - } - printf("\n"); - } -} - -// Function to implement the Floyd-Warshall algorithm -void floydWarshall(int graph[][V]) { - int dist[V][V], i, j, k; - - // Initialize the solution matrix same as the input graph matrix - for (i = 0; i < V; i++) - for (j = 0; j < V; j++) - dist[i][j] = graph[i][j]; - - // Apply Floyd-Warshall Algorithm - for (k = 0; k < V; k++) { - // Pick all vertices as source one by one - for (i = 0; i < V; i++) { - // Pick all vertices as destination for the above picked source - for (j = 0; j < V; j++) { - // If vertex k is on the shortest path from i to j, update the value of dist[i][j] - if (dist[i][k] + dist[k][j] < dist[i][j]) - dist[i][j] = dist[i][k] + dist[k][j]; - } - } - } - - - printSolution(dist); -} - - -int main() { - /* Let us create the following weighted graph as an example - 10 - (0)------(3) - | / | - 5 | 1 | - | / | - (1)------(2) - 3 - */ - int graph[V][V] = { {0, 5, INF, 10}, - {INF, 0, 3, INF}, - {INF, INF, 0, 1}, - {INF, INF, INF, 0} - }; - - floydWarshall(graph); - - return 0; -} From 7bea53a50b90b4f11ac0f3783f59b4170ef1200f Mon Sep 17 00:00:00 2001 From: Sumalatha Salapu Date: Mon, 28 Oct 2024 12:44:27 +0530 Subject: [PATCH 4/4] Delete program.exe --- Bit Manipulation/Count set bits/program.exe | Bin 42420 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 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