Hướng dẫn how do you find a row in pascals triangle? - làm thế nào để bạn tìm thấy một hàng trong tam giác pascal?
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Xem thảo luận Show Cải thiện bài viết Lưu bài viết Xem thảo luận Cải thiện bài viết Lưu bài viết ĐọcN, the task is to find the Nth row of Pascal’s Triangle. Bàn luận The row index starts from 0.
Examples:
Đầu vào: n = 3 & nbsp; đầu ra: 1, 3, 3, 1 & nbsp; giải thích: & nbsp; các phần tử trong hàng thứ 3 là 1 3 3 1. Đầu vào: n = 0 & nbsp; đầu ra: 1 & nbsp; C++
Cách tiếp cận ngây thơ: & nbsp; Cách tiếp cận đơn giản nhất để giải quyết vấn đề là sử dụng đệ quy. Tìm hàng của chỉ mục trước tiên bằng cách sử dụng đệ quy và sau đó tính toán các giá trị của hàng hiện tại với sự trợ giúp của bản trước. Lặp lại quá trình này lên đến hàng thứ n. Dưới đây là việc thực hiện phương pháp trên: & nbsp; & nbsp; NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 vector<intNCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N6 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N8
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N1 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 vector<int#include 2NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 10 1, 5, 10, 10, 5, 11 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16 1, 5, 10, 10, 5, 14 using4NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N8 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4#include 5int #include 71, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 14 int using2NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 vector<intstd;2
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int namespace8
1, 5, 10, 10, 5, 14 vector<6
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4#include 5int std;71, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 10 vector<21, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N31, 5, 10, 10, 5, 18NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 15 int5Java
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 1, 5, 10, 10, 5, 14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N02 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int9 > getRow(4 > getRow(51, 5, 10, 10, 5, 14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N08 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N10 1, 5, 10, 10, 5, 14 int NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N1
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N04 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N05 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N06 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N22 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 10 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N13 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N15
1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N23 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N24 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N10 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N39 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N40
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N42 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N08 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N10
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N1 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 10 1, 5, 10, 10, 5, 11 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16 1, 5, 10, 10, 5, 14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N67 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4#include 5int #include 71, 5, 10, 10, 5, 14 int using2NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N80 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N81
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N80 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N85 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N86 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N87 vector<9NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N10 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 18 Python3NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 102 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N38 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int namespace8NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4#include 5int std;71, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 10 vector<2NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 15 int51, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 142 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 102 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N38 Java
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int9 > getRow(4 > getRow(51, 5, 10, 10, 5, 14 int NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N1 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 175 1, 5, 10, 10, 5, 176
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N04 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N05 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N06 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 10 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N13 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N15 C#
1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N23 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N24 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N10 1, 5, 10, 10, 5, 14 #include 4 #include 5int NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N31 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N33
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N36____10109 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N38 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int9 > getRow(4 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N57 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N58 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 09
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N1 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 194 int#include 2NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 10 1, 5, 10, 10, 5, 11 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16 1, 5, 10, 10, 5, 14 #include 35NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 09NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4#include 5int #include 71, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 14 int using2NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 194 intstd;2
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 10 #include 65
1, 5, 10, 10, 5, 14 vector<6
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N10 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 18 JavaScript
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 80 #include 81NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 1, 5, 10, 10, 5, 14 #include 851, 5, 10, 10, 5, 14 #include 871, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 10 1, 5, 10, 10, 5, 11 1, 5, 10, 10, 5, 14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2
1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 14 #include 991, 5, 10, 10, 5, 14 #include 4using021, 5, 10, 10, 5, 14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2
1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 14 #include 871, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 15 1, 5, 10, 10, 5, 16 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 using19NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 using21NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4using24NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 10 using29
1, 5, 10, 10, 5, 14 vector<6
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N10 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18
Độ phức tạp về thời gian: O (N2) Độ phức tạp không gian: O (N) O(N2) Cách tiếp cận hiệu quả: & NBSP; Thực hiện theo các bước dưới đây để tối ưu hóa cách tiếp cận trên:
NC0, NC1, ......, NCN - 1, NCN
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N Dưới đây là việc thực hiện phương pháp trên: C++
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N57 using46int using48NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int using52NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 using54NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4 #include 5int using591, 5, 10, 10, 5, 14 int using621, 5, 10, 10, 5, 14 using64vector<9 using661, 5, 10, 10, 5, 14 using68NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 18
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int using77NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 using79NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 15 int51, 5, 10, 10, 5, 18 C
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N57 using46int using48NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int using52NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 using94#include 5using96using97NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4 #include 5int using591, 5, 10, 10, 5, 14 int using621, 5, 10, 10, 5, 14 using94#include 5namespace09namespace101, 5, 10, 10, 5, 14 using68NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 14 using64vector<9 using66
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int using77NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 using79NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 15 int51, 5, 10, 10, 5, 18 C1, 5, 10, 10, 5, 18
Java NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 namespace44
1, 5, 10, 10, 5, 191 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N57 using46int using48NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int namespace40__109int0
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4#include 5int NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N31 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 namespace51NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 namespace58NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 using791, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 18 Python3
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N57 namespace71NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int namespace755____576int0NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N95 namespace83NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 116 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N99 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N09 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 175 namespace90NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N99 namespace92NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4 1, 5, 10, 10, 5, 124 1, 5, 10, 10, 5, 125 1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 133 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N99 std;07std;08 std;09__
C#1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 175 #include 5std;21std;22221, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 116 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N99 std;28
Java NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int using52NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 std;49NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 #include 4 #include 5int using59NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 1, 5, 10, 10, 5, 14 int using621, 5, 10, 10, 5, 14 using64vector<9 using661, 5, 10, 10, 5, 14 using68NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 18
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 int using77NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 using791, 5, 10, 10, 5, 18 1, 5, 10, 10, 5, 18 JavaScript
NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 15 int5NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2 1, 5, 10, 10, 5, 14 std;881, 5, 10, 10, 5, 14 std;901, 5, 10, 10, 5, 14 #include 4std;931, 5, 10, 10, 5, 14 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N2
C
1, 5, 10, 10, 5, 14 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 1, 5, 10, 10, 5, 18 NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 vector<09NCr = (NCr - 1 * (N - r + 1)) / r where 1 ≤ r ≤ N3 using79
Output: 1, 5, 10, 10, 5, 1
Làm thế nào để bạn tìm thấy tổng của một hàng trong hình tam giác của Pascal?Trong bất kỳ hàng nào của hình tam giác của Pascal, tổng số thứ nhất, thứ ba, thứ năm, số bằng với tổng của số thứ hai, thứ tư, thứ sáu, số..(1+x)n=(n0)+(n1)x+(n2)x2+⋯+(nr)xr+⋯+(nn−1)xn−1+(nn)xn.
Làm thế nào tôi có thể tính toán số ở một hàng và cột đã cho trong tam giác của Pascal?Có một công thức từ các kết hợp để tìm ra giá trị ở bất kỳ nơi nào trong Tam giác của Pascal: nó thường được gọi là N Chọn K và được viết như thế này: N Chọn K = N!/ K! (N-K)!n choose k = n! / k!( n-k)!
Hàng của 5 hình tam giác Pascal là gì?Các yếu tố ở hàng thứ năm của Tam giác Pascal là 1,4,6,4,1.Lưu ý: Tổng các mục trong hàng thứ n của hình tam giác của Pascal là sức mạnh thứ n là 2.1,4,6,4,1. Note: The sum of the entries in the nth row of Pascal's triangle is the nth power of 2. |
