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count(begin, end, value)：统计等于 value 的元素个数

news 2026/4/27 22:13:33

count(begin, end, value)：统计等于 value 的元素个数

1、非修改序列算法

这些算法不会改变它们所操作的容器中的元素。

1.1 find 和 find_if

find(begin, end, value)：查找第一个等于 value 的元素，返回迭代器（未找到返回 end）。
find_if(begin, end, predicate)：查找第一个满足谓词的元素。
find_end(begin, end, sub_begin, sub_end)：查找子序列最后一次出现的位置。

vector<int> nums = {1, 3, 5, 7, 9};// 查找值为5的元素
auto it = find(nums.begin(), nums.end(), 5);
if (it != nums.end()) {cout << "found: " << *it << endl;  // 输出：5
}// 查找第一个大于6的元素
auto it2 = find_if(nums.begin(), nums.end(), [](int x) {return x > 6;
});
cout << "first >6: " << *it2 << endl;  // 输出：7// 查找子序列
vector<int> sub = {3, 5};
auto it3 = find_end(nums.begin(), nums.end(), sub.begin(), sub.end());
if (it3 != nums.end()) {cout << "subsequence starts at index: " << it3 - nums.begin() << endl;  // 输出：1
}

1.2 count 和 count_if

count(begin, end, value)：统计等于 value 的元素个数。
count_if(begin, end, predicate)：统计满足谓词（predicate）的元素个数。

std::vector<int> vec = {1, 2, 3, 2, 4, 2};
int cnt = std::count(vec.begin(), vec.end(), 2); // 计数2的个数，结果为3
int even_cnt = std::count_if(vec.begin(), vec.end(), [](int x) { return x % 2 == 0; 
}); // 偶数个数，结果为4

1.3 for_each

对范围内的每个元素应用一个函数

std::vector<int> vec = {1, 2, 3, 4, 5};
std::for_each(vec.begin(), vec.end(), [](int& x) { x *= 2; // 将每个元素乘以2
});
// 现在vec变为{2, 4, 6, 8, 10}

1.4 equal 与 mismatch

equal(b1, e1, b2)：判断两个范围 [b1,e1) 和 [b2, b2+(e1-b1)) 是否相等。
mismatch(b1, e1, b2)：返回两个范围中第一个不相等元素的迭代器对（pair）。

vector<int> a = {1, 2, 3};
vector<int> b = {1, 2, 4};
vector<int> c = {1, 2, 3, 4};// 比较a和b的前3个元素
bool is_equal = equal(a.begin(), a.end(), b.begin());
cout << "a == b? " << boolalpha << is_equal << endl;  // 输出：false// 查找a和c的第一个不匹配元素
auto mis = mismatch(a.begin(), a.end(), c.begin());
if (mis.first != a.end()) {cout << "mismatch: " << *mis.first << " vs " << *mis.second << endl;  // 无输出（a和c前3元素相等）
}

1.5 all_of, any_of, none_of

检查范围内元素是否全部、存在或没有满足条件的

std::vector<int> vec = {2, 4, 6, 8};
bool all_even = std::all_of(vec.begin(), vec.end(), [](int x) { return x % 2 == 0; 
}); // true
bool any_odd = std::any_of(vec.begin(), vec.end(), [](int x) { return x % 2 != 0; 
}); // false
bool none_negative = std::none_of(vec.begin(), vec.end(), [](int x) { return x < 0; 
}); // true

2、修改序列算法

这些算法会修改它们所操作的容器中的元素。

2.1 copy 和 copy_if

copy(begin, end, dest)：将 [begin, end) 中的元素复制到 dest 开始的位置。
copy_if(begin, end, dest, predicate)：复制满足谓词的元素到 dest。

vector<int> src = {1, 2, 3, 4, 5};
vector<int> dest(5);  // 需预先分配足够空间// 复制所有元素
copy(src.begin(), src.end(), dest.begin());  // dest: [1,2,3,4,5]// 复制偶数元素到新容器
vector<int> evens;
copy_if(src.begin(), src.end(), back_inserter(evens), [](int x) {return x % 2 == 0;
});  // evens: [2,4]

注意：back_inserter(dest) 会自动调用 push_back，无需提前分配空间。

2.2 transform

对范围内的每个元素应用一个函数，并将结果存储在另一个范围内

vector<int> nums = {1, 2, 3};
vector<int> squares(3);// 计算平方（单参数转换）
transform(nums.begin(), nums.end(), squares.begin(), [](int x) {return x * x;
});  // squares: [1,4,9]// 两容器元素相加（双参数转换）
vector<int> a = {1, 2, 3};
vector<int> b = {4, 5, 6};
vector<int> sum(3);
transform(a.begin(), a.end(), b.begin(), sum.begin(), [](int x, int y) {return x + y;
});  // sum: [5,7,9]

2.3 replace、replace_if与 replace_copy

replace(begin, end, old_val, new_val)：将所有 old_val 替换为 new_val。
replace_if(begin, end, predicate, new_val)：替换满足谓词的元素。
replace_copy(begin, end, dest, old_val, new_val)：复制时替换元素（不修改原容器）。

vector<int> nums = {1, 2, 3, 2, 5};// 替换所有2为20
replace(nums.begin(), nums.end(), 2, 20);  // nums: [1,20,3,20,5]// 替换大于10的元素为0
replace_if(nums.begin(), nums.end(), [](int x) {return x > 10;
}, 0);  // nums: [1,0,3,0,5]// 复制时替换3为300（原容器不变）
vector<int> res;
replace_copy(nums.begin(), nums.end(), back_inserter(res), 3, 300);  // res: [1,0,300,0,5]

2.4 remove、remove_if 与 erase

remove(begin, end, value)：将等于 value 的元素 “移动” 到容器末尾，返回新的逻辑尾迭代器（不实际删除元素，需配合 erase）。
remove_if(begin, end, predicate)：移动满足谓词的元素到末尾。

vector<int> nums = {1, 2, 3, 2, 4};// 逻辑删除所有2（移动到末尾）
auto new_end = remove(nums.begin(), nums.end(), 2);  // nums: [1,3,4,2,2]// 物理删除（真正移除元素）
nums.erase(new_end, nums.end());  // nums: [1,3,4]// 结合lambda删除偶数
nums = {1, 2, 3, 4, 5};
nums.erase(remove_if(nums.begin(), nums.end(), [](int x) {return x % 2 == 0;
}), nums.end());  // nums: [1,3,5]

2.5 unique

移除范围内连续的重复元素，返回新的逻辑结尾迭代器。通常与erase结合使用。

std::vector<int> vec = {1, 1, 2, 2, 3, 3, 3, 4, 5};
auto last = std::unique(vec.begin(), vec.end());
vec.erase(last, vec.end()); // vec变为{1, 2, 3, 4, 5}

2.6 reverse

反转范围内的元素顺序

std::vector<int> vec = {1, 2, 3, 4, 5};
std::reverse(vec.begin(), vec.end()); // vec变为{5, 4, 3, 2, 1}

2.7 rotate

旋转范围内的元素，使中间元素成为新的第一个元素

std::vector<int> vec = {1, 2, 3, 4, 5};
std::rotate(vec.begin(), vec.begin() + 2, vec.end()); // 以3为起点旋转，vec变为{3, 4, 5, 1, 2}

2.8 shuffle

随机重排范围内的元素（需要C++11或更高版本）

#include <random>
#include <algorithm>std::vector<int> vec = {1, 2, 3, 4, 5};
std::random_device rd;
std::mt19937 g(rd());
std::shuffle(vec.begin(), vec.end(), g); // 随机打乱vec中的元素

3、排序和相关算法

3.1 sort、stable_sort 与 partial_sort

sort(begin, end)：对元素进行快速排序（不稳定，平均时间复杂度 O (n log n)）。
stable_sort(begin, end)：稳定排序（相等元素相对位置不变）。
partial_sort(begin, mid, end)：部分排序，使 [begin, mid) 为整个范围中最小的元素并排序。

std::vector<int> vec = {5, 3, 1, 4, 2};
std::sort(vec.begin(), vec.end()); // 默认升序，vec变为{1, 2, 3, 4, 5}
std::sort(vec.begin(), vec.end(), std::greater<int>()); // 降序，vec变为{5, 4, 3, 2, 1}
std::sort(vec.begin(), vec.end(), [](int a, int b) { return a < b; 
}); // 升序，自定义比较std::vector<std::pair<int, int>> vec = {{1, 2}, {2, 1}, {1, 1}, {2, 2}};
std::stable_sort(vec.begin(), vec.end(), [](const auto& a, const auto& b) {return a.first < b.first; // 按first排序，保持相等元素的相对顺序
});std::vector<int> vec = {5, 3, 1, 4, 2, 6};
// 将最小的3个元素放在前面并排序
std::partial_sort(vec.begin(), vec.begin() + 3, vec.end());
// 现在vec前三个元素是1, 2, 3，后面是未排序的4, 5, 6

3.2 nth_element

重新排列范围，使得指定位置的元素等于排序后的元素，并且左边的元素都不大于它，右边的元素都不小于它

std::vector<int> vec = {5, 3, 1, 4, 2, 6};
// 找到第三小的元素（索引2）
std::nth_element(vec.begin(), vec.begin() + 2, vec.end());
// 现在vec[2]是3，它左边的元素<=3，右边的>=3

3.3 binary_search、lower_bound、upper_bound

需在已排序的容器上使用

binary_search(begin, end, value)：判断 value 是否存在（返回 bool）。
lower_bound(begin, end, value)：返回第一个不小于 value 的元素迭代器。
upper_bound(begin, end, value)：返回第一个大于 value 的元素迭代器。

vector<int> sorted = {1, 3, 3, 5, 7};  // 必须先排序// 判断3是否存在
bool exists = binary_search(sorted.begin(), sorted.end(), 3);  // true// 查找第一个>=3的元素
auto lb = lower_bound(sorted.begin(), sorted.end(), 3);
cout << "lower_bound index: " << lb - sorted.begin() << endl;  // 输出：1// 查找第一个>3的元素
auto ub = upper_bound(sorted.begin(), sorted.end(), 3);
cout << "upper_bound index: " << ub - sorted.begin() << endl;  // 输出：3

3.4 merge

合并两个已排序的范围到新容器（保持排序）

vector<int> a = {1, 3, 5};
vector<int> b = {2, 4, 6};
vector<int> merged(a.size() + b.size());// 合并a和b（均需已排序）
merge(a.begin(), a.end(), b.begin(), b.end(), merged.begin());  // merged: [1,2,3,4,5,6]

4、堆算法

STL提供了将范围作为堆来操作的算法，包括make_heap, push_heap, pop_heap, sort_heap等。

std::vector<int> vec = {4, 1, 3, 2, 5};
std::make_heap(vec.begin(), vec.end()); // 构建最大堆，vec变为{5, 4, 3, 2, 1}vec.push_back(6);
std::push_heap(vec.begin(), vec.end()); // 将新元素加入堆，vec变为{6, 4, 5, 2, 1, 3}std::pop_heap(vec.begin(), vec.end()); // 将最大元素移到末尾，vec变为{5, 4, 3, 2, 1, 6}
int max_val = vec.back(); // 获取最大元素6
vec.pop_back(); // 移除最大元素std::sort_heap(vec.begin(), vec.end()); // 将堆排序为升序序列，vec变为{1, 2, 3, 4, 5}

5、最小/最大值算法

5.1 min 和 max

返回两个值或初始化列表中的最小/最大值

int a = 5, b = 3;
int min_val = std::min(a, b); // 3
int max_val = std::max(a, b); // 5auto min_of_list = std::min({4, 2, 8, 5, 1}); // 1
auto max_of_list = std::max({4, 2, 8, 5, 1}); // 8

5.2 min_element 和 max_element

返回范围内的最小/最大元素的迭代器

std::vector<int> vec = {3, 1, 4, 2, 5};
auto min_it = std::min_element(vec.begin(), vec.end()); // 指向1
auto max_it = std::max_element(vec.begin(), vec.end()); // 指向5

5.3 minmax_element (C++11)

同时返回范围内的最小和最大元素的迭代器

std::vector<int> vec = {3, 1, 4, 2, 5};
auto minmax = std::minmax_element(vec.begin(), vec.end());
// minmax.first指向1，minmax.second指向5

6、数值算法（在<numeric>中）

6.1 accumulate

计算范围内元素的累加和（或自定义操作）

#include <numeric>std::vector<int> vec = {1, 2, 3, 4, 5};
int sum = std::accumulate(vec.begin(), vec.end(), 0); // 和，初始值为0，结果为15
int product = std::accumulate(vec.begin(), vec.end(), 1, std::multiplies<int>()); // 乘积，初始值为1，结果为120

6.2 inner_product

计算两个范围的内积（或自定义操作）

std::vector<int> a = {1, 2, 3};
std::vector<int> b = {4, 5, 6};
int dot = std::inner_product(a.begin(), a.end(), b.begin(), 0); // 1*4 + 2*5 + 3*6 = 32

6.3 iota

用连续递增的值填充范围

std::vector<int> vec(5);
std::iota(vec.begin(), vec.end(), 10); // 填充为10, 11, 12, 13, 14

6.4 partial_sum

计算部分和，将结果存储在目标范围内

std::vector<int> src = {1, 2, 3, 4, 5};
std::vector<int> dst(src.size());
std::partial_sum(src.begin(), src.end(), dst.begin()); // dst变为{1, 3, 6, 10, 15}

6.5 adjacent_difference

计算相邻元素的差值，将结果存储在目标范围内

std::vector<int> src = {1, 2, 3, 4, 5};
std::vector<int> dst(src.size());
std::adjacent_difference(src.begin(), src.end(), dst.begin()); // dst变为{1, 1, 1, 1, 1}

7、其他

7.1 generate

用生成函数填充范围

std::vector<int> vec(5);
int n = 0;
std::generate(vec.begin(), vec.end(), [&n]() { return n++; 
}); // 填充为0, 1, 2, 3, 4

7.2 generate_n

用生成函数填充范围的开始n个元素

std::vector<int> vec(5);
int n = 10;
std::generate_n(vec.begin(), 3, [&n]() { return n++; 
}); // 前三个元素为10, 11, 12，后两个保持不变

7.3 includes

检查一个排序范围是否包含另一个排序范围的所有元素

std::vector<int> vec1 = {1, 2, 3, 4, 5};
std::vector<int> vec2 = {2, 4};
bool includes = std::includes(vec1.begin(), vec1.end(), vec2.begin(), vec2.end()); // true

7.3 set_union, set_intersection, set_difference, set_symmetric_difference

执行集合操作：并集、交集、差集和对称差集

std::vector<int> v1 = {1, 2, 3, 4, 5};
std::vector<int> v2 = {3, 4, 5, 6, 7};
std::vector<int> result;// 并集
std::set_union(v1.begin(), v1.end(), v2.begin(), v2.end(), std::back_inserter(result));
// result为{1, 2, 3, 4, 5, 6, 7}// 交集
result.clear();
std::set_intersection(v1.begin(), v1.end(), v2.begin(), v2.end(), std::back_inserter(result));
// result为{3, 4, 5}// 差集 (v1 - v2)
result.clear();
std::set_difference(v1.begin(), v1.end(), v2.begin(), v2.end(), std::back_inserter(result));
// result为{1, 2}// 对称差集 (v1 ∪ v2 - v1 ∩ v2)
result.clear();
std::set_symmetric_difference(v1.begin(), v1.end(), v2.begin(), v2.end(), std::back_inserter(result));
// result为{1, 2, 6, 7}

8、常见问题

sort 与 stable_sort 的区别？
- sort 采用快速排序（实际是 introsort 算法），不稳定（相等元素的相对位置可能改变），平均时间复杂度 O (n log n)。
- stable_sort 采用归并排序，稳定（相等元素相对位置不变），时间复杂度 O (n log n)，但空间开销略大。
为什么 remove 算法需要配合 erase 使用？
remove 算法的原理是 “覆盖” 要删除的元素，将保留的元素移到前面，返回新的逻辑尾迭代器，但不修改容器的实际大小。erase 则通过迭代器范围真正删除元素，修改容器大小。因此需结合使用：container.erase(remove(...), container.end())。
哪些算法需要容器是已排序的？
二分查找系列（binary_search、lower_bound、upper_bound）、集合算法（set_intersection、set_union 等）、merge 等，这些算法依赖有序性实现高效操作（如二分查找 O (log n)）

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