牛客 最大值减去最小值小于或等于 num 的子数组数量

2022-12-09,,,,

题目链接:https://www.nowcoder.com/practice/5fe02eb175974e18b9a546812a17428e?tpId=101&tqId=33086&tPage=1&rp=1&ru=/ta/programmer-code-interview-guide&qru=/ta/programmer-code-interview-guide/question-ranking

题目大意

  略。

分析

  利用滑动窗口和两个双端队列维护窗口内最大值最小值,以每个窗口左边界为基准,看它的窗口右边界最多能到多远,窗口长度即为窗口右边界的贡献。

代码如下

 #include <bits/stdc++.h>
using namespace std; #define INIT() ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define Rep(i,n) for (int i = 0; i < (int)(n); ++i)
#define For(i,s,t) for (int i = (int)(s); i <= (int)(t); ++i)
#define rFor(i,t,s) for (int i = (int)(t); i >= (int)(s); --i)
#define ForLL(i, s, t) for (LL i = LL(s); i <= LL(t); ++i)
#define rForLL(i, t, s) for (LL i = LL(t); i >= LL(s); --i)
#define foreach(i,c) for (__typeof(c.begin()) i = c.begin(); i != c.end(); ++i)
#define rforeach(i,c) for (__typeof(c.rbegin()) i = c.rbegin(); i != c.rend(); ++i) #define pr(x) cout << #x << " = " << x << " "
#define prln(x) cout << #x << " = " << x << endl #define LOWBIT(x) ((x)&(-x)) #define ALL(x) x.begin(),x.end()
#define INS(x) inserter(x,x.begin())
#define UNIQUE(x) x.erase(unique(x.begin(), x.end()), x.end())
#define REMOVE(x, c) x.erase(remove(x.begin(), x.end(), c), x.end()); // 删去 x 中所有 c
#define TOLOWER(x) transform(x.begin(), x.end(), x.begin(),::tolower);
#define TOUPPER(x) transform(x.begin(), x.end(), x.begin(),::toupper); #define ms0(a) memset(a,0,sizeof(a))
#define msI(a) memset(a,0x3f,sizeof(a))
#define msM(a) memset(a,-1,sizeof(a)) #define MP make_pair
#define PB push_back
#define ft first
#define sd second template<typename T1, typename T2>
istream &operator>>(istream &in, pair<T1, T2> &p) {
in >> p.first >> p.second;
return in;
} template<typename T>
istream &operator>>(istream &in, vector<T> &v) {
for (auto &x: v)
in >> x;
return in;
} template<typename T>
ostream &operator<<(ostream &out, vector<T> &v) {
Rep(i, v.size()) out << v[i] << " \n"[i == v.size()];
return out;
} template<typename T1, typename T2>
ostream &operator<<(ostream &out, const std::pair<T1, T2> &p) {
out << "[" << p.first << ", " << p.second << "]" << "\n";
return out;
} inline int gc(){
static const int BUF = 1e7;
static char buf[BUF], *bg = buf + BUF, *ed = bg; if(bg == ed) fread(bg = buf, , BUF, stdin);
return *bg++;
} inline int ri(){
int x = , f = , c = gc();
for(; c<||c>; f = c=='-'?-:f, c=gc());
for(; c>&&c<; x = x* + c - , c=gc());
return x*f;
} template<class T>
inline string toString(T x) {
ostringstream sout;
sout << x;
return sout.str();
} inline int toInt(string s) {
int v;
istringstream sin(s);
sin >> v;
return v;
} //min <= aim <= max
template<typename T>
inline bool BETWEEN(const T aim, const T min, const T max) {
return min <= aim && aim <= max;
} typedef long long LL;
typedef unsigned long long uLL;
typedef vector< int > VI;
typedef vector< bool > VB;
typedef vector< char > VC;
typedef vector< double > VD;
typedef vector< string > VS;
typedef vector< LL > VL;
typedef vector< VI > VVI;
typedef vector< VB > VVB;
typedef vector< VS > VVS;
typedef vector< VL > VVL;
typedef vector< VVI > VVVI;
typedef vector< VVL > VVVL;
typedef pair< int, int > PII;
typedef pair< LL, LL > PLL;
typedef pair< int, string > PIS;
typedef pair< string, int > PSI;
typedef pair< string, string > PSS;
typedef pair< double, double > PDD;
typedef vector< PII > VPII;
typedef vector< PLL > VPLL;
typedef vector< VPII > VVPII;
typedef vector< VPLL > VVPLL;
typedef vector< VS > VVS;
typedef map< int, int > MII;
typedef unordered_map< int, int > uMII;
typedef map< LL, LL > MLL;
typedef map< string, int > MSI;
typedef map< int, string > MIS;
typedef set< int > SI;
typedef stack< int > SKI;
typedef deque< int > DQI;
typedef queue< int > QI;
typedef priority_queue< int > PQIMax;
typedef priority_queue< int, VI, greater< int > > PQIMin;
const double EPS = 1e-;
const LL inf = 0x7fffffff;
const LL infLL = 0x7fffffffffffffffLL;
const LL mod = 1e9 + ;
const int maxN = 1e6 + ;
const LL ONE = ;
const LL evenBits = 0xaaaaaaaaaaaaaaaa;
const LL oddBits = 0x5555555555555555; int N, num, arr[maxN];
LL ans;
DQI minDQ, maxDQ;
int p1 = , p2 = ; int main(){
//freopen("MyOutput.txt","w",stdout);
//freopen("input.txt","r",stdin);
//INIT();
scanf("%d%d", &N, &num);
For(i, , N) scanf("%d", &arr[i]); while(p1 <= N && p2 <= N) {
while(!maxDQ.empty() && arr[maxDQ.back()] <= arr[p2]) maxDQ.pop_back();
maxDQ.PB(p2);
while(!minDQ.empty() && arr[minDQ.back()] >= arr[p2]) minDQ.pop_back();
minDQ.PB(p2); if(arr[maxDQ.front()] - arr[minDQ.front()] <= num) ++p2;
else {
if(maxDQ.front() == p1) maxDQ.pop_front();
if(minDQ.front() == p1) minDQ.pop_front();
ans += p2 - p1;
++p1;
}
}
while(p1 < p2) {
ans += p2 - p1;
++p1;
} printf("%lld\n", ans);
return ;
}

牛客 最大值减去最小值小于或等于 num 的子数组数量的相关教程结束。

《牛客 最大值减去最小值小于或等于 num 的子数组数量.doc》

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