1. 예정 ¶
- C언어 문법은 일단 여기까지
- 본격적 알고리즘 시작
- 선형 자료 구조(linear data structure)
- 배열(array) : fixed-sized collection of contiguous data
- random access
- random access
- 연결 리스트(linked list) : sequential of data linked by pointer
- node - link
- node - link
- array v.s. linked list
- 배열(array) : fixed-sized collection of contiguous data
- algorithms for sequential data
- 탐색(search)
- 선형 탐색(linear search)
- 이진 탐색(binary search)
- 선형 탐색(linear search)
- 정렬(sort)
- 선택 정렬(selection sort)
- 삽입 정렬(insertion sort)
- 병합 정렬(merge sort)
- divide-and-conqurer
- divide-and-conqurer
- 퀵 정렬(quick sort)
- performance
- big-O notation(big-Omega, big-Theta)
- speed, time complexity
- memory, space complexity, in-place sort
- stablity
- big-O notation(big-Omega, big-Theta)
- swap sort v.s. others
- e.g) counting sort, radix sort
- e.g) counting sort, radix sort
- 선택 정렬(selection sort)
- 이번주는 일정이 안맞아 휴강; 다음주에 이 내용으로 진행합니다.
- 탐색(search)
3. 실습 ¶
- selection_sort, insertion_sort, merge_sort, quick_sort(,bubble_sort : optional)
<sort_instruction> input_file [output_file]
- any language
- input :
- 1st line : # of line N
- 2nd ~ : (unsorted) N integers
- 1st line : # of line N
- output:
- N line : sorted N integers
- N + 1 line : elapsed time (in millisecond)
- print in output file; if no argument, to standard output(terminal console)
- N line : sorted N integers
4. 과제 ¶
* 창성
#include<stdio.h> #include<stdlib.h> #include<string.h> #include<time.h> #define swap(type,x,y) type t = x; x = y; y = t; //교환함수 void selection(void); //선택정렬 void insertion(void); //삽입정렬 void merge(int,int); //병합정렬 void quick(int,int); //퀵정렬 void bubble(void); //버블정렬 void output(char*); //(output.txt로 정렬된 수열과 elapsed time 출력) or 표준출력 int n; int *a; int *buff; double milsec; time_t start, end; FILE *input_file; FILE *output_file; int main(int argc, char* argv[]){ int i; char num[10]; //n은 1,000,000,000미만. input_file = fopen(argv[2],"r"); output_file = fopen(argv[3],"w"); if(input_file == NULL){; printf("ERROR_InputFile\n"); return 0; }//input_file이 존재하지 않으면 에러 출력. fgets(num,sizeof(num),input_file); n = atoi(num); //배열의 크기 N을 구함. a = calloc(n,sizeof(int)); for(i=0;i<n;i++){ fscanf(input_file,"%d",&a[i]); //배열 a에 정렬되지 않은 수 받기. } //명령받기. if(!strcmp(argv[1],"selection")) selection(); else if(!strcmp(argv[1],"insertion")) insertion(); else if(!strcmp(argv[1],"merge")){ buff = calloc(n,sizeof(int)); merge(0,n-1); free(buff); } else if(!strcmp(argv[1],"quick")) quick(0,n-1); else if(!strcmp(argv[1],"bubble")) bubble(); else printf("Wrong_SortInstruction"); //결과출력. output(argv[3]); //배열해제 및 파일닫기. free(a); fclose(input_file); fclose(output_file); return 0; } //선택정렬 void selection(void){ start = clock(); int i, j; for(i=0;i<n-1;i++){ int min = i; for(j=i+1;j<n;j++){ if(a[j]<a[min]){ min = j; } } swap(int,a[i],a[min]); } end = clock(); } //삽입정렬 void insertion(void){ start = clock(); int i,j; for(i=1;i<n;i++){ int tmp = a[i]; for(j=i; j>0 && a[j-1]>tmp; j--){ a[j] = a[j-1]; } a[j] = tmp; } end = clock(); } //병합정렬 void merge(int left, int right){ start = clock(); if(left<right){ int i, j = 0, k = left, p = 0; int center = (left + right) / 2; merge(left,center); merge(center+1,right); for(i=left;i<=center;i++){ buff[p++] = a[i]; } while(i<=right && j<p){ a[k++] = (buff[j]<=a[i]) ? buff[j++] : a[i++]; } while(j<p){ a[k++] = buff[j++]; } } end = clock(); } //퀵정렬 void quick(int left, int right){ //재귀적인 방식. start = clock(); int pl = left; int pr = right; int x = a[(pl+pr)/2]; do{ while(a[pl] < x) pl++; while(a[pr] > x) pr--; if(pl <= pr){ swap(int,a[pl],a[pr]); pl++; pr--; } }while(pl <= pr); if(left < pr) quick(left,pr); if(pl < right) quick(pl,right); end = clock(); }//비재귀적인 방법은 스택을 활용. //버블정렬 void bubble(void){ start = clock(); int i = 0, j; while(i<n-1){ int last = n-1; //가장 마지막으로 교환이 일어난 위치 for(j=n-1;j>i;j--){ if(a[j]<a[j-1]){ swap(int,a[j],a[j-1]); last = j; } } i = last; } end = clock(); } //출력함수 void output(char* argv){ int i; milsec = 1000.0 * (end-start) / CLOCKS_PER_SEC; if(argv){ for(i=0;i<n;i++){ fprintf(output_file,"%d ",a[i]); //정렬된 배열 a 출력 } fprintf(output_file,"\n"); fprintf(output_file,"elapsed_time = %.3f ms\n",milsec); //elapsed_time 출력 } else{ for(i=0;i<n;i++){ printf("%d ",a[i]); } printf("\n"); printf("elapsed_time = %.3f ms\n",milsec); } } //힘들어ㅠㅠ
* 승진 - python
def swap(x, i, j) : x[i], x[j] = x[j], x[i] def s_selection(x) : for s in reversed(range(len(x))) : max_i = 0; for i in range(1, 1+s) : if x[i] > x[max_i] : max_i = i swap(x, max_i, s) def s_insertion(x) : for s in range(1, len(x)) : tmp = x[s] i = s while i > 0 and x[i-1] > tmp : x[i] = x[i-1] i -= 1 x[i] = tmp def s_merge(x) : if len(x) > 1 : mid = len(x)//2 l_x, r_x = x[:mid], x[mid:] s_merge(l_x) s_merge(r_x) l_i, r_i, i = 0, 0, 0 while l_i < len(l_x) and r_i < len(r_x) : if l_x[l_i] < r_x[r_i] : x[i] = l_x[l_i] l_i += 1 else : x[i] = r_x[r_i] r_i += 1 i += 1 x[i:] = l_x[l_i:] if l_i != len(l_x) else r_x[r_i:] def pivotFirst(x, lmark, rmark): pivot_val = x[lmark] pivot_idx = lmark while lmark <= rmark: while lmark <= rmark and x[lmark] <= pivot_val: lmark += 1 while lmark <= rmark and x[rmark] >= pivot_val: rmark -= 1 if lmark <= rmark: swap(x, lmark, rmark) lmark += 1 rmark -= 1 swap(x, pivot_idx, rmark) return rmark def s_quick(x, pivotMethod=pivotFirst): def _qsort(x, first, last): if first < last: splitpoint = pivotMethod(x, first, last) _qsort(x, first, splitpoint-1) _qsort(x, splitpoint+1, last) _qsort(x, 0, len(x)-1) def s_bubble(x) : for s in reversed(range(len(x))): for i in range(s): if x[i] > x[i+1]: swap(x, i, i+1) import sys import timeit if __name__ == "__main__" : try : input_file = open(sys.argv[2], 'r') except FileNotFoundError as e : print(str(e)) exit(0) n = input_file.readline() data = str(input_file.read()).split() data = [int(i) for i in data] option = sys.argv[1] t_start = timeit.default_timer() if 's' in option : s_selection(data) elif 'i' in option : s_insertion(data) elif 'm' in option : s_merge(data) elif 'q' in option : s_quick(data) elif 'b' in option : s_bubble(data) else : s_bubble(data) t_end = timeit.default_timer() try : tmp = sys.argv[3] output_file = open(tmp, 'w') except : output_file = open("o_"+sys.argv[2], 'w') for d in data : output_file.write(str(d) + ' ') output_file.write("\n"); output_file.write("%s" % (t_end - t_start)) input_file.close() output_file.close()