Hướng dẫn minimum coin change problem python - vấn đề thay đổi tiền xu tối thiểu python
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Cho một giá trị v, nếu chúng ta muốn thực hiện thay đổi cho v xu và chúng ta có nguồn cung cấp vô hạn của mỗi c = {c1, c2, .., cm} các đồng tiền có giá trị, số tiền tối thiểu là bao nhiêu biến đổi? Nếu nó không thể thực hiện thay đổi, in -1.V, if we want to make a change for V cents, and we have an infinite supply of each of C = { C1, C2, .., Cm} valued coins, what is the minimum number of coins to make the change? If it’s not possible to make a change, print -1. Show
Examples:
Vấn đề này là một biến thể của vấn đề được thảo luận về vấn đề thay đổi tiền xu. Ở đây thay vì tìm tổng số giải pháp có thể, chúng ta cần tìm giải pháp với số lượng tiền tối thiểu.Coin Change Problem. Here instead of finding the total number of possible solutions, we need to find the solution with the minimum number of coins. Số lượng tiền tối thiểu cho giá trị V có thể được tính toán bằng cách sử dụng công thức đệ quy dưới đây. & NBSP; If V == 0, then 0 coins required.
If V > 0
minCoins(coins[0..m-1], V) = min {1 + minCoins(V-coin[i])}
where i varies from 0 to m-1
and coin[i] <= VDưới đây là một giải pháp đệ quy dựa trên công thức đệ quy ở trên. & NBSP; C++
Minimum coins required is 25 Minimum coins required is 26 Minimum coins required is 27 Minimum coins required is 28 Minimum coins required is 29 Minimum coins required is 20 Minimum coins required is 26 int Minimum coins required is 23 Minimum coins required is 26 Minimum coins required is 25 Minimum coins required is 26 int Minimum coins required is 28 Minimum coins required is 26 Minimum coins required is 25
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Minimum coins required is 25
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Minimum coins required is 25
Is
Minimum coins required is 29 Minimum coins required is 20
Java
Minimum coins required is 25
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Minimum coins required is 29 namespace0
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Minimum coins required is 25
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Python3Minimum coins required is 271 Minimum coins required is 272 Minimum coins required is 273 Minimum coins required is 274
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Minimum coins required is 27 Minimum coins required is 210 Minimum coins required is 278 Minimum coins required is 225 Minimum coins required is 286 Minimum coins required is 278 Minimum coins required is 203 Minimum coins required is 215 Minimum coins required is 223
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Minimum coins required is 250
Minimum coins required is 25
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Minimum coins required is 27 int4int5int6____19 int5int9
Minimum coins required is 202 ‘ Minimum coins required is 282 Minimum coins required is 25
Minimum coins required is 27 #include3
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Minimum coins required is 282 using5
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Minimum coins required is 25
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Các
JavaScript
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Đầu ra Minimum coins required is 2 Độ phức tạp về thời gian của giải pháp trên là theo cấp số nhân và độ phức tạp không gian lớn hơn O (n). Nếu chúng ta vẽ cây đệ quy hoàn chỉnh, chúng ta có thể quan sát rằng nhiều vấn đề phụ được giải quyết nhiều lần. Ví dụ: khi chúng ta bắt đầu từ V = 11, chúng ta có thể đạt 6 bằng cách trừ một 5 lần và trừ 5 lần một lần. Vì vậy, biểu tượng con cho 6 được gọi là hai lần. & Nbsp; Vì các vấn đề nhỏ tương tự được gọi là lại, vấn đề này có thuộc tính Subroprosplips chồng chéo. Vì vậy, vấn đề Min Coins có cả hai thuộc tính (xem điều này và điều này) của một vấn đề lập trình động. Giống như các vấn đề lập trình động (DP) điển hình khác, các phép tính lại của cùng một vấn đề phụ có thể được tránh bằng cách xây dựng bảng mảng tạm thời [] [] theo cách từ dưới lên. Dưới đây là giải pháp dựa trên lập trình động. & NBSP; C++
Minimum coins required is 25
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JavaMinimum coins required is 271 namespace73
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Python3Minimum coins required is 271 Minimum coins required is 272 Minimum coins required is 273 Minimum coins required is 274
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Minimum coins required is 249 #include42Minimum coins required is 249 #include44using20
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