diff options
Diffstat (limited to '05_range_queries/static_range_minimum_queries_1647.cpp')
| -rw-r--r-- | 05_range_queries/static_range_minimum_queries_1647.cpp | 47 |
1 files changed, 47 insertions, 0 deletions
diff --git a/05_range_queries/static_range_minimum_queries_1647.cpp b/05_range_queries/static_range_minimum_queries_1647.cpp new file mode 100644 index 0000000..ef11438 --- /dev/null +++ b/05_range_queries/static_range_minimum_queries_1647.cpp | |||
| @@ -0,0 +1,47 @@ | |||
| 1 | #include <iostream> | ||
| 2 | #include <limits> | ||
| 3 | #include <vector> | ||
| 4 | |||
| 5 | int minrange(std::vector<int>& a, int x, int y, int i, int p, int l, int r) { | ||
| 6 | if (x == l && y == r) | ||
| 7 | return a[2*p-2-i]; | ||
| 8 | |||
| 9 | if (x >= y) | ||
| 10 | return std::numeric_limits<int>::max(); | ||
| 11 | |||
| 12 | int lr = (l+r)/2; | ||
| 13 | return std::min( | ||
| 14 | minrange(a, std::max(x, l), std::min(y, lr), 2*i+2, p, l, lr), | ||
| 15 | minrange(a, std::max(x, lr), std::min(y, r), 2*i+1, p, lr, r) | ||
| 16 | ); | ||
| 17 | } | ||
| 18 | |||
| 19 | void compute_mins(std::vector<int>& a, int j, int n) { | ||
| 20 | for (int i = 0; i < n; i += 2) | ||
| 21 | a[j+n+i/2] = std::min(a[j+i], a[j+i+1]); | ||
| 22 | } | ||
| 23 | |||
| 24 | int main() { | ||
| 25 | int n, q, x, y, p; | ||
| 26 | std::cin >> n >> q; | ||
| 27 | |||
| 28 | // For simplicity, extend n to a power of 2 | ||
| 29 | for (p = 1; p < n; p <<= 1) ; | ||
| 30 | |||
| 31 | std::vector<int> a(2*p-1, 0); | ||
| 32 | for (int i = 0; i < n; i++) | ||
| 33 | std::cin >> a[i]; | ||
| 34 | |||
| 35 | // a[p], a[p+1] ... a[p+p/2-1] are min of pairs | ||
| 36 | // a[p+p/2], a[p+p/2+1], ... a[p+p/2+p/4] are min of quads | ||
| 37 | // etc... | ||
| 38 | for (int i = 1, j = 0; i < p; i <<= 1) { | ||
| 39 | compute_mins(a, j, p/i); | ||
| 40 | j += p/i; | ||
| 41 | } | ||
| 42 | |||
| 43 | for (int i = 0; i < q; i++) { | ||
| 44 | std::cin >> x >> y; | ||
| 45 | std::cout << minrange(a, x-1, y, 0, p, 0, p) << "\n"; | ||
| 46 | } | ||
| 47 | } | ||
