記錄。需要注意的是，Python 中 range(a, b) 對應的區間是“左閉右開”的，對應的走訪範圍為 ?, ? + 1, … , ? − 1 ： // === File: iteration.cs === /* for 迴圈 */ int ForLoop(int n) { int res = 0; // 迴圈求和 1, 2, ..., n-1, n for (int i = 1; i 迴圈中，程式每輪都會先檢查條件，如果條 件為真，則繼續執行，否則就結束迴圈。 下面我們用 while 迴圈來實現求和 1 + 2 + ⋯ + ? ： // === File: iteration.cs === /* while 迴圈 */ int WhileLoop(int n) { int res = 0; int i = 1; // 初始化條件變數 // 迴圈求和 1, 2, .. 複雜度分析 www.hello‑algo.com 21 例如在以下程式碼中，條件變數 ? 每輪進行兩次更新，這種情況就不太方便用 for 迴圈實現： // === File: iteration.cs === /* while 迴圈（兩次更新） */ int WhileLoopII(int n) { int res = 0; int i = 1; // 初始化條件變數 // 迴圈求和 1

%rax # imm = 0x9502F9 addq $-2441406, %rax # imm = 0xFFDABF42 Source line: 5 popq %rbp retq nopw %cs:(%rax,%rax) Because the compiler knows that integer addition and multiplication are associative and Broadcast.combine_axes(1, 1, 1) () source Base.Broadcast.combine_styles – Function. combine_styles(cs...) -> BroadcastStyle Decides which BroadcastStyle to use for any number of value arguments. Uses RandomDevice: for OS-provided entropy. This may be used for cryptographically secure random numbers (CS(P)RNG). • MersenneTwister: an alternate high-quality PRNG which was the default in older versions

%rax # imm = 0x9502F9 addq $-2441406, %rax # imm = 0xFFDABF42 Source line: 5 popq %rbp retq nopw %cs:(%rax,%rax) Because the compiler knows that integer addition and multiplication are associative and Broadcast.combine_axes(1, 1, 1) () source Base.Broadcast.combine_styles – Function. combine_styles(cs...) -> BroadcastStyle Decides which BroadcastStyle to use for any number of value arguments. Uses RandomDevice: for OS-provided entropy. This may be used for cryptographically secure random numbers (CS(P)RNG). • MersenneTwister: an alternate high-quality PRNG which was the default in older versions

%rax # imm = 0x9502F9 addq $-2441406, %rax # imm = 0xFFDABF42 Source line: 5 popq %rbp retq nopw %cs:(%rax,%rax) Because the compiler knows that integer addition and multiplication are associative and Broadcast.combine_axes(1, 1, 1) () source Base.Broadcast.combine_styles – Function. combine_styles(cs...) -> BroadcastStyle Decides which BroadcastStyle to use for any number of value arguments. Uses RandomDevice: for OS-provided entropy. This may be used for cryptographically secure random numbers (CS(P)RNG). • MersenneTwister: an alternate high-quality PRNG which was the default in older versions

%rax # imm = 0x9502F9 addq $-2441406, %rax # imm = 0xFFDABF42 Source line: 5 popq %rbp retq nopw %cs:(%rax,%rax) Because the compiler knows that integer addition and multiplication are associative and Broadcast.combine_axes(1, 1, 1) () source Base.Broadcast.combine_styles – Function. combine_styles(cs...) -> BroadcastStyle Decides which BroadcastStyle to use for any number of value arguments. Uses RandomDevice: for OS-provided entropy. This may be used for cryptographically secure random numbers (CS(P)RNG). • MersenneTwister: an alternate high-quality PRNG which was the default in older versions

%rax # imm = 0x9502F9 addq $-2441406, %rax # imm = 0xFFDABF42 Source line: 5 popq %rbp retq nopw %cs:(%rax,%rax) Because the compiler knows that integer addition and multiplication are associative and Broadcast.combine_axes(1, 1, 1) () source Base.Broadcast.combine_styles – Function. combine_styles(cs...) -> BroadcastStyle Decides which BroadcastStyle to use for any number of value arguments. Uses RandomDevice: for OS-provided entropy. This may be used for cryptographically secure random numbers (CS(P)RNG). • MersenneTwister: an alternate high-quality PRNG which was the default in older versions

%rax # imm = 0x9502F9 addq $-2441406, %rax # imm = 0xFFDABF42 Source line: 5 popq %rbp retq nopw %cs:(%rax,%rax) Because the compiler knows that integer addition and multiplication are associative and Broadcast.combine_axes(1, 1, 1) () source Base.Broadcast.combine_styles – Function. combine_styles(cs...)::BroadcastStyle Decides which BroadcastStyle to use for any number of value arguments. Uses BroadcastStyle RandomDevice: for OS-provided entropy. This may be used for cryptographically secure random numbers (CS(P)RNG). • MersenneTwister: an alternate high-quality PRNG which was the default in older versions

%rax # imm = 0x9502F9 addq $-2441406, %rax # imm = 0xFFDABF42 Source line: 5 popq %rbp retq nopw %cs:(%rax,%rax) Because the compiler knows that integer addition and multiplication are associative and Broadcast.combine_axes(1, 1, 1) () source Base.Broadcast.combine_styles – Function. combine_styles(cs...) -> BroadcastStyle Decides which BroadcastStyle to use for any number of value arguments. Uses RandomDevice: for OS-provided entropy. This may be used for cryptographically secure random numbers (CS(P)RNG). • MersenneTwister: an alternate high-quality PRNG which was the default in older versions

%rax # imm = 0x9502F9 addq $-2441406, %rax # imm = 0xFFDABF42 Source line: 5 popq %rbp retq nopw %cs:(%rax,%rax) Because the compiler knows that integer addition and multiplication are associative and Broadcast.combine_axes(1, 1, 1) () source Base.Broadcast.combine_styles – Function. combine_styles(cs...) -> BroadcastStyle Decides which BroadcastStyle to use for any number of value arguments. Uses RandomDevice: for OS-provided entropy. This may be used for cryptographically secure random numbers (CS(P)RNG). • MersenneTwister: an alternate high-quality PRNG which was the default in older versions

%rax # imm = 0x9502F9 addq $-2441406, %rax # imm = 0xFFDABF42 Source line: 5 popq %rbp retq nopw %cs:(%rax,%rax) Because the compiler knows that integer addition and multiplication are associative and Broadcast.combine_axes(1, 1, 1) () source Base.Broadcast.combine_styles – Function. combine_styles(cs...) -> BroadcastStyle Decides which BroadcastStyle to use for any number of value arguments. Uses RandomDevice: for OS-provided entropy. This may be used for cryptographically secure random numbers (CS(P)RNG). • MersenneTwister: an alternate high-quality PRNG which was the default in older versions