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Codeforces Round #361 (Div. 2) D. Friends and Subsequences RMQ+二分
D. Friends and Subsequences
题目链接:
http://codeforces.com/problemset/problem/689/D
代码:
1 #include<iostream> 2 #include<algorithm> 3 #include<cstdio> 4 using namespace std; 5 6 const int maxn = 200000 + 10; 7 int n, a[maxn], b[maxn]; 8 int d_min[maxn][30]; 9 int d_max[maxn][30];10 11 void RMQ_init() {12 for (int i = 0; i<n; i++) d_max[i][0] = a[i], d_min[i][0] = b[i];13 for (int j = 1; (1 << j) <= n; j++)14 for (int i = 0; i + (1 << j) - 1 < n; i++) {15 d_min[i][j] = min(d_min[i][j - 1], d_min[i + (1 << (j - 1))][j - 1]);16 d_max[i][j] = max(d_max[i][j - 1], d_max[i + (1 << (j - 1))][j - 1]);17 }18 }19 20 int RMQ_min(int L, int R) {21 int k = 0;22 while ((1 << (k + 1)) <= R - L + 1) k++;23 return min(d_min[L][k], d_min[R - (1 << k) + 1][k]);24 }25 26 int RMQ_max(int L, int R) {27 int k = 0;28 while ((1 << (k + 1)) <= R - L + 1) k++;29 return max(d_max[L][k], d_max[R - (1 << k) + 1][k]);30 }31 32 int main()33 {34 cin >> n;35 for (int i = 0; i < n; i++) scanf("%d", &a[i]);36 for (int i = 0; i < n; i++) scanf("%d", &b[i]);37 RMQ_init();38 long long ans = 0;39 for (int i = 0; i < n; i++) {40 if (a[i] > b[i]) continue;41 int first_r = -1, last_r = -1;42 int l = i, r = n - 1, mid;43 44 while (l <= r) {45 mid = (l + r) / 2;46 if (RMQ_max(i, mid) == RMQ_min(i, mid)) first_r = mid;47 if (RMQ_max(i, mid) >= RMQ_min(i, mid)) r = mid - 1;48 else l = mid + 1;49 }50 if (first_r == -1) continue;51 52 l = i; r = n - 1;53 while (l <= r) {54 mid = (l + r) / 2;55 if (RMQ_max(i, mid) > RMQ_min(i, mid))56 r = mid - 1;57 else l = mid + 1, last_r = mid;58 }59 60 ans += last_r - first_r + 1;61 }62 cout << ans << endl;63 return 0;64 }
Codeforces Round #361 (Div. 2) D. Friends and Subsequences RMQ+二分
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