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int a[MAX_N], m[4 * MAX_N];
int query(int x, int y, int k = 0, int X = 0, int Y = MAX_N - 1) {
if (x <= X && Y <= y) return m[k];
if (y < X || Y < x) return -1000000000; //ein "neutrales" Element
int M = (X + Y) / 2;
return max(query(x, y, 2 * k + 1, X, M), query(x, y, 2 * k + 2, M + 1, Y));
}
void update(int i, int v, int k = 0, int X = 0, int Y = MAX_N - 1) {
if (i < X || Y < i) return;
if (X == Y) {
m[k] = v;
a[i] = v;
return;
}
int M = (X + Y) / 2;
update(i, v, 2 * k + 1, X, M);
update(i, v, 2 * k + 2, M + 1, Y);
m[k] = max(m[2 * k + 1], m[2 * k + 2]);
}
void init(int k = 0, int X = 0, int Y = MAX_N - 1) {
if (X == Y) {
m[k] = a[X];
return;
}
int M = (X + Y) / 2;
init(2 * k + 1, X, M);
init(2 * k + 2, M + 1, Y);
m[k] = max(m[2 * k + 1], m[2 * k + 2]);
}
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