師大資工系ACM-ICPC讀書會：貳、排序搜尋與數學基礎

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1. 貳、排序搜尋與數學基礎 師大資工系 灆洢 取自於＜提升程式設計的邏輯思考力＞ 5.3 & 5.4
2. 排序搜尋
3. •2 5 8 7 6 3 9 •2 5 7 8 6 3 9 •2 5 7 6 8 3 9 •2 5 6 7 8 3 9 •2 5 6 7 3 8 9 •2 5 6 3 7 8 9 泡沫排序法 Bubble Sort •2 5 3 6 7 8 9 •2 3 5 6 7 8 9
4. •| 2 5 8 7 6 3 9 •2 | 5 7 8 6 3 9 •2 3 | 7 8 6 5 9 •2 3 5 | 8 6 7 9 •2 3 5 6 | 8 7 9 •2 3 5 6 7 | 8 9 選擇排序法 Selection Sort •2 3 5 6 7 8 | 9 •2 3 5 6 7 8 9 |
5. 插入排序法 Insertion Sort •| 2 5 8 7 6 3 9 •2 | 5 7 8 6 3 9 •2 5 | 7 8 6 3 9 •2 5 7 | 8 6 3 9 •2 5 7 8 | 6 3 9 •2 5 6 7 8 | 3 9 •2 3 5 6 7 8 | 9 •2 3 5 6 7 8 9 |
6. 快速排序法 Quick Sort •2 5 8 7 6 3 9 •2 3 5 8 7 6 9 •2 3 5 8 7 6 9 •2 3 5 7 6 8 9 •2 3 5 6 7 8 9 •2 3 5 6 7 8 9 •2 3 5 6 7 8 9
7. 合併排序法 Merge Sort •2 5 8 7 6 3 9 •2 5 8 7 6 3 9 •2 5 7 8 3 6 9 •2 5 7 8 3 6 9 •2 5 7 8 3 6 9 •2 3 5 6 7 8 9
8. 線性搜尋 Linear Search (Find: 8) •2 3 5 6 7 8 9 •2 3 5 6 7 8 9 •2 3 5 6 7 8 9 •2 3 5 6 7 8 9 •2 3 5 6 7 8 9 •2 3 5 6 7 8 9 •2 3 5 6 7 8 9
9. 二元搜尋 Binary Search (Find: 8) •必定先排序好！ •2 3 5 6 7 8 9 •2 3 5 6 7 8 9
10. 範例一：Number Chains (UVa 263)
11. 範例二：Word Amalgamation (UVa 642)
12. •340 •10420 •10474 •152 •299 •120 作業 •156 •400 •123 •10194 •755 •10785
13. 數學基礎
14. •檢查n是否為質數： •2~n-1 是否整除之 •2~sqrt(n) 是否整除之 •2 & 3,5,7,9…sqrt(n) 是否整除之 質數：一般作法
15. •6n, 6n+1, 6n+2, 6n+3, 6n+4, 6n+5 •6n: 2*(3n) •6n+2: 2*(3n+1) •6n+3: 3*(2n+1) •6n+4: 2*(3n+2) 質數：跳貳跳肆法
16. • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 • 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 質數：篩法
17. • (x1,y1), (x2,y2), (x3,y3), (x4,y4) …… 幾何：多邊形面積 x1 x2 x3 x4 …….. y1 y2 y3 y4 …….. •實線相乘 •黃色相加 •綠色相減
18. • 點在多邊形內 幾何：判斷點在多邊形內 • 點在多邊形上 • 點在多邊形外
19. 幾何：由拉公式 •多凸邊形：V-E+F=2 • V：頂點數 •E：邊數 • F：面數
20. 範例一：Count on Cantor (UVa 264)
21. 範例二：Factors and Factorials (UVa 160)
22. 範例三：Orchard Trees (UVa 143)
23. 範例四：How Many Pieces of Land ? (UVa 10213)
24. •113 •10161 •253 •621 •10025 •591 作業：雜題 •107 •573 •846 •10499 •10790 •11044 •10719 •10177 •10916 •10970 •10014
25. •575 •10110 •550 •568 •408 •350 作業：數論 •10061 •10392 •10879
26. •10250 •579 •375 •10387 •10112 作業：幾何
27. 謝謝聆聽 資料取自於＜提升程式設計的邏輯思考力＞ 5.3 & 5.4