A 满足目标工作时长的员工数目
签到题
class Solution {
public:int numberOfEmployeesWhoMetTarget(vector<int> &hours, int target) {int res = 0;for (auto x: hours)if (x >= target)res++;return res;}
};
B 统计完全子数组的数目
枚举子数组:枚举子数组的长度,滑动窗口枚举定长子数组,同时维护数组中不同元素的数目
class Solution {
public:int countCompleteSubarrays(vector<int> &nums) {int n = nums.size();int mx = *max_element(nums.begin(), nums.end());vector<int> cnt(mx + 1);for (auto x: nums)cnt[x] = 1;int tar = accumulate(cnt.begin(), cnt.end(), 0);//数组中不同元素的数目int res = 0;for (int len = 1; len <= n; len++) {fill(cnt.begin(), cnt.end(), 0);int cur = 0;for (int i = 0; i < len - 1; i++)if (cnt[nums[i]]++ == 0)cur++;for (int i = 0, j = i + len - 1; j < n; i++, j++) {if (cnt[nums[j]]++ == 0)cur++;if (cur == tar)res++;if (--cnt[nums[i]] == 0)cur--;}}return res;}
};
C 包含三个字符串的最短字符串
枚举排列: 若 a , b , c a, b, c a,b,c存在一个串是另一个串的子串的情况,则先删除 a , b , c a, b, c a,b,c中的子串,再枚举剩余串的出现顺序,对于给定顺序每两个邻接串共用尽可能长的公共部分(eg:
abc
和bcd
拼接共用bc
)
class Solution {
public:string get(string &a, string &b) {//返回拼接a和b的最短串for (int k = min(b.size(), a.size()); k > 0; k--) {int i, j;for (i = a.size() - k, j = 0; j < k; i++, j++)if (a[i] != b[j])break;if (j == k)return a + b.substr(k);}return a + b;}string minimumString(string a, string b, string c) {vector<string> li{a, b, c};sort(li.begin(), li.end(), [](string &s1, string &s2) { return s1.size() < s2.size(); });int cnt = 3;//剩余串的个数if (li[1].find(li[0]) != li[1].npos || li[2].find(li[0]) != li[2].npos) {//li[0]是某串的子串所以删除li.erase(li.begin());if (li[1].find(li[0]) != li[1].npos)//只剩1个串的情况return li[1];cnt = 2;}if (li[2].find(li[1]) != li[2].npos) {li[1]是某串的子串所以删除li.erase(li.begin() + 1);cnt = 2;}if (cnt == 2) {string s1 = get(li[0], li[1]);string s2 = get(li[1], li[0]);if (s1.size() != s2.size())return s1.size() < s2.size() ? s1 : s2;return s1 < s2 ? s1 : s2;}sort(li.begin(), li.end());string res(305, ' ');do {//枚举a,b,c串的排列顺序string t = get(li[0], li[1]);t = get(t, li[2]);if (t.size() < res.size() || t.size() == res.size() && t < res)res = t;} while (next_permutation(li.begin(), li.end()));return res;}
};
D 统计范围内的步进数字数目
定义 s u m ( s ) sum(s) sum(s)为闭区间 [ 1 , s ] [1,s] [1,s]内的的步进数字数目,则区间 [ l o w , h i g h ] [low,high] [low,high]内的的步进数字数目为 s u m [ h i g h ] − s u m [ l o w ] sum[high]-sum[low] sum[high]−sum[low](若 l o w low low为步进数字则还要 + 1 +1 +1),定义 p l o c , p r e , v a l , e q l p_{loc,pre,val,eql} ploc,pre,val,eql为在 “当前待处理的下标为 l o c loc loc,前一位选择的数字(若存在)为 p r e pre pre, v a l val val:前面是否有选择数字(0:没有,1:有), e q l eql eql:前面选择的数是否严格等于 s [ 0 , l o c − 1 ] s[0,loc-1] s[0,loc−1](0:否,1:是)” 这种情况下可以构成多少个 [ 1 , s ] [1,s] [1,s]内的步进数字,通过记忆化搜索进行计算。
class Solution {
public:typedef long long ll;ll mod = 1e9 + 7;int countSteppingNumbers(string low, string high) {int islow = 1;for (int i = 1; i < low.size(); i++)//判断low是否是步进数字if (abs(low[i] - low[i - 1]) != 1)islow = 0;return ((sum(high) - sum(low) + islow) % mod + mod) % mod;}ll sum(string &s) {int n = s.size();ll p[n + 1][10][2][2];memset(p, -1, sizeof(p));function<ll(int, int, int, int)> get = [&](int loc, int pre, int val, int eql) {if (p[loc][pre][val][eql] != -1)return p[loc][pre][val][eql];if (loc == n) {//已处理完每一位return p[loc][pre][val][eql] = val;}ll &cur = p[loc][pre][val][eql];cur = 0;if (val) {//前面有数字if (!eql) {//前面选择的数不严格等于s[0,loc-1]if (pre != 0) {cur += get(loc + 1, pre - 1, val, eql);cur %= mod;}if (pre != 9) {cur += get(loc + 1, pre + 1, val, eql);cur %= mod;}} else {//前面选择的数严格等于s[0,loc-1]if (pre != 0 && pre - 1 <= s[loc] - '0') {cur += get(loc + 1, pre - 1, val, pre - 1 == s[loc] - '0' ? 1 : 0);cur %= mod;}if (pre != 9 && pre + 1 <= s[loc] - '0') {cur += get(loc + 1, pre + 1, val, pre + 1 == s[loc] - '0' ? 1 : 0);cur %= mod;}}} else {//前面没有数字cur += get(loc + 1, 0, val, 0);if (!eql) {//前面选择的数不严格等于s[0,loc-1]for (int i = 1; i <= 9; i++) {cur += get(loc + 1, i, 1, 0);cur %= mod;}} else {//前面选择的数严格等于s[0,loc-1]for (int i = 1; i <= s[loc] - '0'; i++) {cur += get(loc + 1, i, 1, i == s[loc] - '0' ? 1 : 0);cur %= mod;}}}cur = (cur + mod) % mod;return cur;};return get(0, 0, 0, 1);}
};