Cho một số dương n, hãy đếm tất cả các cặp Số nguyên Không âm riêng biệt (x, y) thỏa mãn bất đẳng thức x*x + y*y < n. ví dụ Input: n = 5 Output: 6 The pairs are (0, 0), (0, 1), (1, 0), (1, 1), (2, 0), (0, 2) Input: n = 6 Output: 8 The pairs are (0, 0), (0, 1), (1, 0), (1, 1), (2, 0), (0, 2), (1, 2), (2, 1) Một giải pháp đơn giản là chạy hai vòng. Vòng lặp bên ngoài đi đến tất cả các giá trị có thể có của x (từ 0 đến √n). Các vòng lặp bên trong chọn tất cả các giá trị có thể có của y cho giá trị hiện tại của x (được chọn bởi vòng lặp bên ngoài). Sau đây là việc thực hiện một giải pháp đơn giản. C++
Total Number of distinct Non-Negative pairs is 80 int Total Number of distinct Non-Negative pairs is 82 Total Number of distinct Non-Negative pairs is 83 Total Number of distinct Non-Negative pairs is 84_______323_______ Total Number of distinct Non-Negative pairs is 86 Total Number of distinct Non-Negative pairs is 84_______1_______8 Total Number of distinct Non-Negative pairs is 89 int Total Number of distinct Non-Negative pairs is 81 Total Number of distinct Non-Negative pairs is 82 Total Number of distinct Non-Negative pairs is 88 Total Number of distinct Non-Negative pairs is 89 int Total Number of distinct Non-Negative pairs is 86 Total Number of distinct Non-Negative pairs is 87 Total Number of distinct Non-Negative pairs is 88 Total Number of distinct Non-Negative pairs is 84_______317_______0 #include <iostream> 1
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 87 using 1
Java
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 80_______323_______ Total Number of distinct Non-Negative pairs is 82
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 89 int // This function counts number of pairs (x, y) that satisfy 8// This function counts number of pairs (x, y) that satisfy 2// the inequality x*x + y*y < n. 0
Total Number of distinct Non-Negative pairs is 88 Total Number of distinct Non-Negative pairs is 89 int // the inequality x*x + y*y < n. 5// This function counts number of pairs (x, y) that satisfy 2// the inequality x*x + y*y < n. 7
Total Number of distinct Non-Negative pairs is 88
Total Number of distinct Non-Negative pairs is 801 Total Number of distinct Non-Negative pairs is 802
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 808 Total Number of distinct Non-Negative pairs is 809 Total Number of distinct Non-Negative pairs is 810 Total Number of distinct Non-Negative pairs is 811
Total Number of distinct Non-Negative pairs is 816 Python3Total Number of distinct Non-Negative pairs is 817
Total Number of distinct Non-Negative pairs is 818 Total Number of distinct Non-Negative pairs is 819 Total Number of distinct Non-Negative pairs is 820 Total Number of distinct Non-Negative pairs is 821 Total Number of distinct Non-Negative pairs is 822
Total Number of distinct Non-Negative pairs is 824 Total Number of distinct Non-Negative pairs is 825 // This function counts number of pairs (x, y) that satisfy 2
Total Number of distinct Non-Negative pairs is 828 Total Number of distinct Non-Negative pairs is 825 // This function counts number of pairs (x, y) that satisfy 2
Total Number of distinct Non-Negative pairs is 832 Total Number of distinct Non-Negative pairs is 833 Total Number of distinct Non-Negative pairs is 834 Total Number of distinct Non-Negative pairs is 835
Total Number of distinct Non-Negative pairs is 825 // This function counts number of pairs (x, y) that satisfy 2
Total Number of distinct Non-Negative pairs is 833 Total Number of distinct Non-Negative pairs is 834 Total Number of distinct Non-Negative pairs is 828 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 837 Total Number of distinct Non-Negative pairs is 834 Total Number of distinct Non-Negative pairs is 848
Total Number of distinct Non-Negative pairs is 824 Total Number of distinct Non-Negative pairs is 825 Total Number of distinct Non-Negative pairs is 824 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 854
Total Number of distinct Non-Negative pairs is 837 Total Number of distinct Non-Negative pairs is 825 Total Number of distinct Non-Negative pairs is 837 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 854
Total Number of distinct Non-Negative pairs is 825 Total Number of distinct Non-Negative pairs is 828_______1_______45 Total Number of distinct Non-Negative pairs is 854
Total Number of distinct Non-Negative pairs is 824
Total Number of distinct Non-Negative pairs is 870 Total Number of distinct Non-Negative pairs is 871 Total Number of distinct Non-Negative pairs is 872 Total Number of distinct Non-Negative pairs is 825 Total Number of distinct Non-Negative pairs is 825 Total Number of distinct Non-Negative pairs is 875 Total Number of distinct Non-Negative pairs is 876
Total Number of distinct Non-Negative pairs is 878 Total Number of distinct Non-Negative pairs is 89 #include <iostream> 9Total Number of distinct Non-Negative pairs is 881 Total Number of distinct Non-Negative pairs is 87 Total Number of distinct Non-Negative pairs is 80_______1_______10 Total Number of distinct Non-Negative pairs is 885
Total Number of distinct Non-Negative pairs is 886 Total Number of distinct Non-Negative pairs is 887 C#Total Number of distinct Non-Negative pairs is 888
Total Number of distinct Non-Negative pairs is 893
Total Number of distinct Non-Negative pairs is 895
Total Number of distinct Non-Negative pairs is 80_______323_______ Total Number of distinct Non-Negative pairs is 82
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 86
Total Number of distinct Non-Negative pairs is 89 int Total Number of distinct Non-Negative pairs is 81
Total Number of distinct Non-Negative pairs is 88 Total Number of distinct Non-Negative pairs is 89 int Total Number of distinct Non-Negative pairs is 86
Total Number of distinct Non-Negative pairs is 88
Total Number of distinct Non-Negative pairs is 801 Total Number of distinct Non-Negative pairs is 839
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 844 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 847 Total Number of distinct Non-Negative pairs is 848 Total Number of distinct Non-Negative pairs is 849
Total Number of distinct Non-Negative pairs is 853 PHPTotal Number of distinct Non-Negative pairs is 854 Total Number of distinct Non-Negative pairs is 855
Total Number of distinct Non-Negative pairs is 858
Total Number of distinct Non-Negative pairs is 859 Total Number of distinct Non-Negative pairs is 860
Total Number of distinct Non-Negative pairs is 862 Total Number of distinct Non-Negative pairs is 80_______1_______64 Total Number of distinct Non-Negative pairs is 865 Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 868 Total Number of distinct Non-Negative pairs is 869
Total Number of distinct Non-Negative pairs is 88 Total Number of distinct Non-Negative pairs is 89 Total Number of distinct Non-Negative pairs is 873 Total Number of distinct Non-Negative pairs is 869 Total Number of distinct Non-Negative pairs is 873 Total Number of distinct Non-Negative pairs is 834 Total Number of distinct Non-Negative pairs is 873 Total Number of distinct Non-Negative pairs is 878 Total Number of distinct Non-Negative pairs is 864 // This function counts number of pairs (x, y) that satisfy 3Total Number of distinct Non-Negative pairs is 873 Total Number of distinct Non-Negative pairs is 882
Total Number of distinct Non-Negative pairs is 89 Total Number of distinct Non-Negative pairs is 886 Total Number of distinct Non-Negative pairs is 869 Total Number of distinct Non-Negative pairs is 873 Total Number of distinct Non-Negative pairs is 834 Total Number of distinct Non-Negative pairs is 873 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 886 Total Number of distinct Non-Negative pairs is 834 Total Number of distinct Non-Negative pairs is 886 Total Number of distinct Non-Negative pairs is 878 Total Number of distinct Non-Negative pairs is 864 // This function counts number of pairs (x, y) that satisfy 3Total Number of distinct Non-Negative pairs is 886_______1_______82
Total Number of distinct Non-Negative pairs is 868 // This function counts number of pairs (x, y) that satisfy 3
Total Number of distinct Non-Negative pairs is 83
Javascript
Total Number of distinct Non-Negative pairs is 862 #include <iostream> 28Total Number of distinct Non-Negative pairs is 84_______317_______30 Total Number of distinct Non-Negative pairs is 84_______1_______8 #include <iostream> 33Total Number of distinct Non-Negative pairs is 82 Total Number of distinct Non-Negative pairs is 88 #include <iostream> 36Total Number of distinct Non-Negative pairs is 87 Total Number of distinct Non-Negative pairs is 88 Total Number of distinct Non-Negative pairs is 82 #include <iostream> 2Total Number of distinct Non-Negative pairs is 84_______317_______2 Total Number of distinct Non-Negative pairs is 84_______317_______0 #include <iostream> 1
đầu ra. Total Number of distinct Non-Negative pairs is 8 Giới hạn trên cho độ phức tạp thời gian của giải pháp trên là O(n). Vòng lặp bên ngoài chạy √n lần. Vòng lặp bên trong chạy tối đa √n lần. Không gian phụ trợ. Ô(1) Sử dụng một Giải pháp hiệu quả, chúng ta có thể tìm thấy số đếm trong thời gian O(√n). Ý tưởng là trước tiên tìm số đếm của tất cả các giá trị y tương ứng với giá trị 0 của x. Đặt số giá trị y khác biệt là yCount. Chúng ta có thể tìm thấy yCount bằng cách chạy một vòng lặp và so sánh yCount*yCount với n. C++
Total Number of distinct Non-Negative pairs is 80 int Total Number of distinct Non-Negative pairs is 82 Total Number of distinct Non-Negative pairs is 83 Total Number of distinct Non-Negative pairs is 84_______323_______ #include <iostream> 67
Total Number of distinct Non-Negative pairs is 84_______317_______69 Total Number of distinct Non-Negative pairs is 84_______1_______8 #include <iostream> 72
Total Number of distinct Non-Negative pairs is 84_______317_______74 Total Number of distinct Non-Negative pairs is 84_______317_______76 Total Number of distinct Non-Negative pairs is 84_______317_______78 Total Number of distinct Non-Negative pairs is 84_______1_______32 #include <iostream> 81Total Number of distinct Non-Negative pairs is 84_______1_______3
Total Number of distinct Non-Negative pairs is 832 using 00Total Number of distinct Non-Negative pairs is 87 using 02Total Number of distinct Non-Negative pairs is 84_______317_______2
Total Number of distinct Non-Negative pairs is 84_______317_______0 #include <iostream> 1
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 87 using 1
Java
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 80_______323_______ Total Number of distinct Non-Negative pairs is 82
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 865
Total Number of distinct Non-Negative pairs is 832 using 72// This function counts number of pairs (x, y) that satisfy 2 using 97Total Number of distinct Non-Negative pairs is 854 Total Number of distinct Non-Negative pairs is 865
Total Number of distinct Non-Negative pairs is 854 namespace 03
Total Number of distinct Non-Negative pairs is 801 Total Number of distinct Non-Negative pairs is 802
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 809 Total Number of distinct Non-Negative pairs is 810 namespace 31
Total Number of distinct Non-Negative pairs is 816 Python3
Total Number of distinct Non-Negative pairs is 821 Total Number of distinct Non-Negative pairs is 822
Total Number of distinct Non-Negative pairs is 828 Total Number of distinct Non-Negative pairs is 825 // This function counts number of pairs (x, y) that satisfy 2
Total Number of distinct Non-Negative pairs is 824 Total Number of distinct Non-Negative pairs is 825 // This function counts number of pairs (x, y) that satisfy 2
Total Number of distinct Non-Negative pairs is 825 // This function counts number of pairs (x, y) that satisfy 2
Total Number of distinct Non-Negative pairs is 832 namespace 64Total Number of distinct Non-Negative pairs is 834 namespace 66
Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 854
Total Number of distinct Non-Negative pairs is 832 namespace 86Total Number of distinct Non-Negative pairs is 825 // This function counts number of pairs (x, y) that satisfy 2namespace 89
Total Number of distinct Non-Negative pairs is 825 Total Number of distinct Non-Negative pairs is 824_______1_______45 namespace 55
Total Number of distinct Non-Negative pairs is 825 Total Number of distinct Non-Negative pairs is 828_______1_______45 Total Number of distinct Non-Negative pairs is 854
Total Number of distinct Non-Negative pairs is 825 // This function counts number of pairs (x, y) that satisfy 2 std; 25 Total Number of distinct Non-Negative pairs is 833 Total Number of distinct Non-Negative pairs is 834 Total Number of distinct Non-Negative pairs is 828
Total Number of distinct Non-Negative pairs is 854 Total Number of distinct Non-Negative pairs is 865 Total Number of distinct Non-Negative pairs is 834
Total Number of distinct Non-Negative pairs is 854 std; 40Total Number of distinct Non-Negative pairs is 825 std; 42
Total Number of distinct Non-Negative pairs is 854
Total Number of distinct Non-Negative pairs is 824
Total Number of distinct Non-Negative pairs is 878 Total Number of distinct Non-Negative pairs is 89_______320_______57 Total Number of distinct Non-Negative pairs is 881
Total Number of distinct Non-Negative pairs is 810 Total Number of distinct Non-Negative pairs is 885
C#
Total Number of distinct Non-Negative pairs is 893
Total Number of distinct Non-Negative pairs is 895
Total Number of distinct Non-Negative pairs is 80_______323_______ Total Number of distinct Non-Negative pairs is 82
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 832 // This function counts number of pairs (x, y) that satisfy 40
Total Number of distinct Non-Negative pairs is 801 Total Number of distinct Non-Negative pairs is 839
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 844 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 847
Total Number of distinct Non-Negative pairs is 853 PHPTotal Number of distinct Non-Negative pairs is 854
Total Number of distinct Non-Negative pairs is 862 Total Number of distinct Non-Negative pairs is 80_______1_______64 Total Number of distinct Non-Negative pairs is 865 Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 873 Total Number of distinct Non-Negative pairs is 869 // This function counts number of pairs (x, y) that satisfy 91// This function counts number of pairs (x, y) that satisfy 3Total Number of distinct Non-Negative pairs is 868 Total Number of distinct Non-Negative pairs is 869
Total Number of distinct Non-Negative pairs is 88 Total Number of distinct Non-Negative pairs is 89 // This function counts number of pairs (x, y) that satisfy 91 Total Number of distinct Non-Negative pairs is 869 // This function counts number of pairs (x, y) that satisfy 91Total Number of distinct Non-Negative pairs is 834 // This function counts number of pairs (x, y) that satisfy 91 Total Number of distinct Non-Negative pairs is 878 Total Number of distinct Non-Negative pairs is 864 // This function counts number of pairs (x, y) that satisfy 3
Total Number of distinct Non-Negative pairs is 832 Total Number of distinct Non-Negative pairs is 89 // This function counts number of pairs (x, y) that satisfy 91 // the inequality x*x + y*y < n. 27
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 89 // This function counts number of pairs (x, y) that satisfy 91 // the inequality x*x + y*y < n. 58std; 25 Total Number of distinct Non-Negative pairs is 89 Total Number of distinct Non-Negative pairs is 873 Total Number of distinct Non-Negative pairs is 834 Total Number of distinct Non-Negative pairs is 873 Total Number of distinct Non-Negative pairs is 845
Total Number of distinct Non-Negative pairs is 89 // This function counts number of pairs (x, y) that satisfy 91_______322_______68// This function counts number of pairs (x, y) that satisfy 91// the inequality x*x + y*y < n. 70Total Number of distinct Non-Negative pairs is 864 Total Number of distinct Non-Negative pairs is 885
Total Number of distinct Non-Negative pairs is 868 // This function counts number of pairs (x, y) that satisfy 3
Total Number of distinct Non-Negative pairs is 881
Javascript
Total Number of distinct Non-Negative pairs is 862 int 11
Total Number of distinct Non-Negative pairs is 83
Total Number of distinct Non-Negative pairs is 87
Total Number of distinct Non-Negative pairs is 87
Total Number of distinct Non-Negative pairs is 832 // This function counts number of pairs (x, y) that satisfy 40
Total Number of distinct Non-Negative pairs is 87
Total Number of distinct Non-Negative pairs is 844 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 845 Total Number of distinct Non-Negative pairs is 847
đầu ra. Total Number of distinct Non-Negative pairs is 8 Độ phức tạp về thời gian của giải pháp trên có vẻ nhiều hơn nhưng nếu chúng ta xem xét kỹ hơn, chúng ta có thể thấy rằng đó là O(√n). Trong mỗi bước bên trong vòng lặp bên trong, giá trị của yCount giảm đi 1. Giá trị yCount có thể giảm tối đa O(√n) lần khi yCount được tính giá trị y cho x = 0. Trong vòng lặp bên ngoài, giá trị của x được tăng lên. Giá trị của x cũng có thể tăng nhiều nhất là O(√n) lần vì x cuối cùng là cho yCount bằng 1. Là hai khôngHai số nguyên không âm được gọi là anh em nếu chúng có thể nhận được từ nhau bằng cách sắp xếp lại các chữ số trong biểu diễn thập phân của chúng . Ví dụ: 123 và 213 là anh em. 535 và 355 cũng là anh em. Tập hợp gồm số nguyên không âm N và tất cả các số anh chị em của nó được gọi là họ của N.
kiểu dữ liệu cho không phải là gìThe xs. nonNegativeInteger kiểu dữ liệu đại diện cho một số nguyên lớn hơn hoặc bằng 0. Bắt nguồn từ xs. kiểu dữ liệu số nguyên. Dạng từ vựng của xs. nonNegativeInteger là một dấu hiệu tùy chọn được theo sau bởi một chuỗi các chữ số thập phân có độ dài hữu hạn. Nếu dấu bị bỏ qua, dấu dương (+) được giả định.
không phải là gìSố không âm là số không hoặc là số dương (lưu ý rằng +0 = 0 và -0 = .
tập hợp không phải là gìTập hợp các số thực dương lớn hơn 0 (không) là các số thực không âm. Điều đó có nghĩa là các số thực là dương hoặc bằng không. Tập hợp sẽ bao gồm các số như {0,1, 2, 3, 4, 5,…}. |