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LeetCode.cpp
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520 lines (482 loc) · 15.7 KB
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#include "LeetCode.h"
#include <dbg.h>
#include <cassert>
#include <array>
#include <fmt/format.h>
#include <folly/Range.h>
#include <unordered_map>
#include <numeric>
using std::string;
using std::vector;
void LeetCode::fib()
{
constexpr auto answer = []
{
constexpr int n = 3;
constexpr auto fib_impl = []
{
std::array<int, 31> fib{0, 1};
for (int i = 2; i != 31; ++i)
{
fib[i] = fib[i - 1] + fib[i - 2];
}
return fib;
}();
return fib_impl[n];
};
}
void LeetCode::tribonacci()
{
// T0 = 0, T1 = 1, T2 = 1, 且在 n >= 0 的条件下 Tn+3 = Tn + Tn+1 + Tn+2
constexpr auto fib_impl = []
{
std::array<int, 37> fib{0, 1, 1};
for (int i = 3; i != 31; ++i)
{
fib[i] = fib[i - 1] + fib[i - 2] + fib[i - 3];
}
return fib;
}();
auto answer = [&](int n)
{
return fib_impl[n];
};
}
void LeetCode::minCostClimbingStairs()
{
std::vector<int> data = {1, 100, 1, 1, 1, 100, 1, 1, 100, 1};
const auto minCostClimbingStairsImpl = [](vector<int> &cost)
{
std::unordered_map<int, int> cache;
const auto impl = [&](int cur, int spend, auto &&self) -> int
{
if (cur == cost.size())
{
return spend;
}
if (cur > cost.size())
{
return INT_MAX;
}
int msg = cur * 1000 + spend;
if (cache.find(msg) != cache.end())
{
return cache[msg];
}
cache[msg] = std::min(self(cur + 2, spend + cost[cur], self),
self(cur + 1, spend + cost[cur], self));
return cache[msg];
};
};
const auto dpAnswer = [](vector<int> &cost)
{
// 将不同的元素的对应起来
// dp[i]=min(dp[i-1]+cost[i-1],dp[i-2]+cost[i-2])
// dp[i] 为到达第i级阶梯的所需要的最小代价 接着向上走则需要花费当前的cost[i]
// 同时 有两种方法到达 相关的 从i-1 或者i-2位置向上走
// dp[i] = min(dp[i-1]+cost[i-1] ,dp[i-2]+cost[i-2])
int first = 0;
int second = 0; // dp[0] dp[1]
for (int i = 2; i <= cost.size(); i++) // 最后到达 size()处 需要多少
{
// 到达 i 位置则
int tmp = std::min(first + cost[i - 2], second + cost[i - 1]);
first = second;
second = tmp;
}
return second;
};
}
void LeetCode::findAnagrams()
{
// 给定两个字符串 s 和 p,找到 s 中所有 p 的 异位词 的子串,返回这些子串的起始索引。不考虑答案输出的顺序。
// 异位词 指由相同字母重排列形成的字符串(包括相同的字符串)。
/*
* 输入: s = "cbaebabacd", p = "abc"
输出: [0,6]
*/
// auto findAnagramsEnum = [](string s, string p)->vector<int> {
// // 直接暴力匹配当前出现的字符串
// string::size_type sSize = s.size();
// string::size_type pSize = p.size();
// if (sSize < pSize)return {};
// std::array<int, 26> count_p = { 0 };
// for (char pChar : p) {
// count_p[static_cast<int>(pChar)] += 1;
// }
// std::array<int, 26> check_count = { 0 };
// int first = 0;
// int second = 1;
// check_count[static_cast<int>(s[0])] += 1;
// string::size_type lastFirst = sSize - pSize;
//
// auto compare = [&]()->std::pair<int, int> {
// for (int i = 0; i < 26; i++)
// {
// if (count_p[i] == check_count[i]) {
// continue;
// }
// else if (count_p[i] > check_count[i]) {
// return { -1,i };
// }
// else {
// return { 1, i };
// }
// }
// return { 0,0 };
// };
// vector<int> result;
// while (first <= lastFirst && second < s.size())
// {
// auto compareResult = compare();
// if (compareResult.first == 0) {
// result.push_back(first);
// check_count[s[first]] -= 1;
// first++;
// }
// else if (compareResult.first > 0) {
// check_count[s[first]] -= 1;
// first++;
// if (first <= lastFirst) {
// check_count[s[first]] += 1;
// }
// }
// else {
// if(s[second] ==)
// }
// }
/// std::equal(count_p.begin(), count_p.end(), check_count.begin(), check_count.end());
//};
string first = "abacbabc";
string second = "abc";
auto findAnagramsEnum = [](string s, string p) -> vector<int>
{
string::size_type sSize = s.size();
string::size_type pSize = p.size();
if (sSize < pSize)
return {};
std::array<int, 26> firstCount{};
std::array<int, 26> secondCount{};
for (int i = 0; i < pSize; i++)
{
firstCount[static_cast<int>(p[i] - 'a')]++;
secondCount[static_cast<int>(s[i] - 'a')]++;
}
vector<int> result;
if (std::equal(firstCount.begin(), firstCount.end(), secondCount.begin(), secondCount.end()))
{
dbg(firstCount, secondCount);
result.push_back(0);
}
for (int i = pSize; i < sSize; i++)
{
// 将当前的 pSize 添加进入
secondCount[static_cast<int>(s[i - pSize] - 'a')]--;
secondCount[static_cast<int>(s[i] - 'a')]++;
dbg(secondCount);
if (std::equal(firstCount.begin(), firstCount.end(), secondCount.begin(), secondCount.end()))
{
result.push_back(i - pSize + 1);
}
}
return result;
};
// dbg(findAnagramsEnum(first, second));
const auto answerslidingWindow = [](string const &s, string const &p) -> vector<int>
{
// 将当前存在的 range 标识为 滑动窗口的 range
string::size_type sSize = s.size();
string::size_type pSize = p.size();
if (sSize < pSize)
return {};
std::array<int, 26> firstCount{};
std::array<int, 26> secondCount{};
for (int i = 0; i < pSize; i++)
{
firstCount[static_cast<int>(p[i] - 'a')]++;
}
int left = 0;
vector<int> result;
for (int right = 0; right < sSize; right++)
{
// 将其填入当前所匹配的子串中
int curGet = static_cast<int>(s[right] - 'a');
secondCount[curGet]++;
auto range = folly::Range(s.begin() + left, s.begin() + right + 1);
auto cur = fmt::format(" left {} right {} cur {}", left, right, s[left]);
dbg(cur, range);
while (secondCount[curGet] > firstCount[curGet])
{
// 当前的填入的字符 超过了当前的总数
// left 一直回退 直到当前情况下的 secondCount[curGet] ==firstCount[curGet]
// 最坏情况是 left 到达了 right 位置
auto range = folly::Range(s.begin() + left + 1, s.begin() + right + 1);
int curLeft = static_cast<int>(s[left] - 'a');
secondCount[curLeft]--;
left++;
string cur = fmt::format(" left-1 {} right {} cur {}", left - 1, right, left);
dbg(range, cur);
}
if (right - left + 1 == pSize)
{
result.push_back(left);
dbg("result.push_back(left) " + std::to_string(left));
}
}
return result;
};
dbg(answerslidingWindow("cbaebabacd", "abc"));
}
void LeetCode::numSubarrayProductLessThanK()
{
// 双指针 将当前的窗口缩小到合适位置
const auto answerDp = [](vector<int> &nums, int k) -> int
{
int cur = 1;
int left = 0;
int result = 0;
vector<int>::size_type numSize = nums.size();
for (int right = 0; right < numSize; right++)
{
cur = cur * nums[right];
if (cur < k)
{
if (right > left + 1)
{ // 包含了多个元素的成绩证明可以添加多个进入
result += right - left + 1;
const auto &range = folly::Range(
nums.begin() + left, nums.begin() + right + 1);
dbg(range, left, right);
}
else
{
result++;
}
}
while (cur > k)
{
// 左侧指针前进到
cur /= nums[left];
left++;
}
}
return result;
};
std::vector<int> data = {10, 5, 2, 6};
answerDp(data, 100);
}
void LeetCode::allPathsSourceTarget()
{
auto answer = [](vector<vector<int>> &graph)
{
size_t graphSize = graph.size();
std::vector<std::vector<int>> result;
std::vector<int> curResult;
std::function<void(int)> dfs = [&](int curPos) -> void
{
curResult.push_back(curPos);
if (curPos == graphSize - 1)
{
result.push_back(curResult);
}
else
{
for (int nextPos : graph[curPos])
{
dfs(nextPos);
result.pop_back();
}
}
};
dfs(0);
return result;
};
}
void LeetCode::findTargetSumWays()
{
auto answer_ = [](vector<int> &nums, int target)
{
// 将重复的数字记录下来
std::unordered_map<int, int> map;
for (int i : nums)
{
++map[i];
}
int result = 0;
// dfs
auto answer_dfs = [&map](decltype(map.begin()) &iter, int cur, int tar, auto dfs)
{
if (tar == cur)
return 1;
if (iter == map.end())
return 0;
int maxElem = iter->first * iter->second;
int result = 0;
if (iter->first != 0)
{
++iter;
for (int i = -maxElem; i <= maxElem; i += iter->first)
{
result += dfs(iter, cur + i, tar, dfs);
}
}
else
{
++iter;
result += dfs(iter, cur, tar, dfs) * iter->second;
}
return result;
};
// dynamic
auto size = map.size();
std::vector<std::vector<int>> cache(size + 1, std::vector<int>(target + 1));
auto answer_dyn = [&]()
{
// 将进入函数的内容改成 填充二维矩阵的值
vector<int> &back = cache.back();
std::fill(back.begin(), back.end(), 1);
for (int row = target - 1; row > 0; --row)
{
auto iter = map.begin();
auto mapEnd = map.end();
for (int col = 0; col < size; ++col, ++iter)
{
while (iter != mapEnd)
{
if (iter->first != 0)
{
int maxElem = iter->first * iter->second;
// 将相同值的部分叠加起来 注意需要叠加的值 不能越界
for (int i = -maxElem;
i <= maxElem && col - i >= 0 && col - i < target;
i += iter->first)
{
cache[row][col] += cache[row + 1][col - i];
}
}
else
{
cache[row][col] = cache[row + 1][col] * iter->second;
}
}
}
}
// 第0 行不需要全部填满 填第一个就行了
auto iter = map.begin();
auto mapEnd = map.end();
int result = cache[1][0];
if (iter != mapEnd)
{
int maxElem = iter->first * iter->second;
// 将相同值的部分叠加起来 注意需要叠加的值 不能越界
if (maxElem == 0)
{
return result * iter->second;
}
for (int i = -maxElem; i <= 0; i += iter->first)
{
result += cache[1][-i];
}
}
return result;
};
// 压缩空间
auto answer_depression = [&]()
{
// [0 ,mapSize ] 代表map中的值
int mapSize = map.size();
dbg(mapSize);
std::vector<int> val(mapSize, 1); // 只使用一行作为当前的存储
for (int row = 0; row < target; ++row)
{
auto iter = map.begin();
auto mapEnd = map.end();
for (int col = 0; col < mapSize; ++col, ++iter)
{
int maxElem = iter->first * iter->second;
// 将相同值的部分叠加起来 注意需要叠加的值 不能越界
dbg(maxElem);
if (maxElem == 0)
{
val[col] = val[col] * iter->second;
continue;
}
for (int i = -maxElem; i <= maxElem; i += iter->first * 2)
{
dbg(i, col);
if (col - i >= 0 && col - i < mapSize)
{
dbg(col - i);
val[col] += val[col - i];
}
}
}
}
return val[0];
};
dbg(answer_depression());
};
std::vector<int> data{1, 1, 1, 1, 1};
answer_(data, 3);
}
void LeetCode::distinctIntegers()
{
vector<int> res{1, 1, 2, 3, 4};
for (size_t i = 3; i < 100; i++)
{
vector<int> data(i, -1);
data[i - 1] = 1;
bool haveNew = false;
do
{
haveNew = false;
for (size_t i = 0; i < data.size(); i++)
{
if (data[i] != -1)
{
for (size_t j = 2; j <= i; j++)
{
if (data[j - 1] == -1 && (i + 1) % j == 1)
{
haveNew = true;
data[j - 1] = 1;
}
}
}
}
res.emplace_back(std::count(data.begin(), data.end(), 1));
} while (haveNew);
}
dbg(res);
}
void LeetCode::putMarbles()
{
{
vector<int> weights{1, 4, 2, 5, 2};
int k = 3;
int size = weights.size() - 1;
int i = 0;
for (; i + 4 < size; i += 4)
{
weights[i] += weights[i + 1];
weights[i + 1] += weights[i + 2];
weights[i + 2] += weights[i + 3];
weights[i + 3] += weights[i + 4];
}
for (; i < size; ++i)
{
weights[i] += weights[i + 1];
}
k = k - 1;
weights.pop_back();
auto begin = weights.begin();
auto end = weights.end();
std::nth_element(begin, begin + k, end);
long long min = std::accumulate(begin, begin + k, (long long)0);
dbg(folly::Range(begin, begin + k + 1));
std::nth_element(begin, begin + k, end, std::greater<int>());
long long max = std::accumulate(begin, begin + k, (long long)0);
dbg(folly::Range(begin, begin + k + 1));
dbg(max - min);
}
}