#include <fstream>
#include <cstring>
using namespace std;
constexpr int kMaxN = 100000;
template<typename Val, typename Compare = std::less<Val>, int BlockSize = 10>
class DirectRMQ {
public:
typedef int Index;
typedef char InBlockIndex;
typedef InBlockIndex(*BlockTypeRef)[BlockSize];
DirectRMQ(Compare comp_ = Compare()) :
blockTypes(0), innerBlockTable(0), sparseTable(0) {
comp = comp_;
calcBallotNumbers();
buildInnerBlockTable();
}
~DirectRMQ() {
delete[] innerBlockTable;
delete[] blockTypes; delete[] sparseTable;
}
void build(const Val *a, Index n) {
blocks = (n + BlockSize - 1) / BlockSize;
stHeight = 0; while(1 << stHeight < blocks) ++ stHeight;
delete[] blockTypes; delete[] sparseTable;
blockTypes = new BlockTypeRef[blocks];
calcBlockTypes(a, n);
buildInnerBlockTable(a, n);
sparseTable = new Index[blocks * stHeight];
buildSparseTable(a);
}
Index query(const Val *a, Index l, Index r) const {
Index x = l / BlockSize, y = r / BlockSize, z = y - x;
if(z == 0) return x * BlockSize + blockTypes[x][l % BlockSize][r % BlockSize];
if(z == 1) return assumeleft_minIndex(a,
x * BlockSize + blockTypes[x][l % BlockSize][BlockSize - 1],
y * BlockSize + blockTypes[y][0][r % BlockSize]);
z -= 2;
Index k = 0, s;
s = ((z & 0xffff0000) != 0) << 4; z >>= s; k |= s;
s = ((z & 0x0000ff00) != 0) << 3; z >>= s; k |= s;
s = ((z & 0x000000f0) != 0) << 2; z >>= s; k |= s;
s = ((z & 0x0000000c) != 0) << 1; z >>= s; k |= s;
s = ((z & 0x00000002) != 0) << 0; z >>= s; k |= s;
return assumeleft_minIndex(a
, assumeleft_minIndex(a,
x * BlockSize + blockTypes[x][l % BlockSize][BlockSize - 1],
sparseTable[x + 1 + blocks * k])
, assumeleft_minIndex(a,
sparseTable[y + blocks * k - (1 << k)],
y * BlockSize + blockTypes[y][0][r % BlockSize])
);
}
Val queryVal(const Val *a, Index l, Index r) const {
Index x = l / BlockSize, y = r / BlockSize, z = y - x;
if(z == 0) return a[x * BlockSize + blockTypes[x][l % BlockSize][r % BlockSize]];
Val edge = minVal(
a[x * BlockSize + blockTypes[x][l % BlockSize][BlockSize - 1]],
a[y * BlockSize + blockTypes[y][0][r % BlockSize]]);
if(z == 1) return edge;
z -= 2;
Index k = 0, s;
s = ((z & 0xffff0000) != 0) << 4; z >>= s; k |= s;
s = ((z & 0x0000ff00) != 0) << 3; z >>= s; k |= s;
s = ((z & 0x000000f0) != 0) << 2; z >>= s; k |= s;
s = ((z & 0x0000000c) != 0) << 1; z >>= s; k |= s;
s = ((z & 0x00000002) != 0) << 0; z >>= s; k |= s;
return minVal(edge, minVal(
a[sparseTable[x + 1 + blocks * k]],
a[sparseTable[y + blocks * k - (1 << k)]]));
}
private:
Compare comp;
int ballotNumbers[BlockSize + 1][BlockSize + 1];
InBlockIndex(*innerBlockTable)[BlockSize][BlockSize];
Index blocks;
int stHeight;
BlockTypeRef *blockTypes;
Index *sparseTable;
inline Index minIndex(const Val *a, Index x, Index y) const {
return comp(a[x], a[y]) || (a[x] == a[y] && x < y) ? x : y;
}
inline Index assumeleft_minIndex(const Val *a, Index x, Index y) const {
return comp(a[y], a[x]) ? y : x;
}
inline Val minVal(Val x, Val y) const {
return comp(y, x) ? y : x;
}
void buildSparseTable(const Val *a) {
Index *b = sparseTable;
if(stHeight) for(Index i = 0; i < blocks; i ++)
b[i] = i * BlockSize + blockTypes[i][0][BlockSize - 1];
for(Index t = 1; t * 2 < blocks; t *= 2) {
memcpy(b + blocks, b, blocks * sizeof(Index));
b += blocks;
for(Index i = 0; i < blocks - t; ++ i)
b[i] = assumeleft_minIndex(a, b[i], b[i + t]);
}
}
void buildInnerBlockTable(const Val *a, Index n) {
for(Index i = 0; i < blocks; i ++) {
BlockTypeRef table = blockTypes[i];
if(table[0][0] != -1) continue;
const Val *p = getBlock(a, n, i);
for(InBlockIndex left = 0; left < BlockSize; left ++) {
Val minV = p[left];
InBlockIndex minI = left;
for(InBlockIndex right = left; right < BlockSize; right ++) {
if(comp(p[right], minV)) {
minV = p[right];
minI = right;
}
table[left][right] = minI;
}
}
}
}
const Val *getBlock(const Val *a, Index n, Index i) {
Index offset = i * BlockSize;
if(offset + BlockSize <= n)
return a + offset;
else {
static Val tmp_a[BlockSize];
std::copy(a + offset, a + n, tmp_a);
Val maxVal = Val();
for(Index j = i; j < n; j++)
if(comp(maxVal, a[j])) maxVal = a[j];
std::fill(tmp_a + (n - offset), tmp_a + BlockSize, maxVal);
return tmp_a;
}
}
void calcBlockTypes(const Val *a, Index n) {
Val tmp_rp[BlockSize + 1];
for(Index i = 0; i < blocks; i ++)
blockTypes[i] = calcBlockType(getBlock(a, n, i), tmp_rp);
}
BlockTypeRef calcBlockType(const Val *a, Val *rp) {
int q = BlockSize, N = 0;
for(int i = 0; i < BlockSize; i ++) {
while(q + i - BlockSize > 0 && comp(a[i], rp[q + i - BlockSize])) {
N += ballotNumbers[BlockSize - i - 1][q];
q --;
}
rp[q + i + 1 - BlockSize] = a[i];
}
return innerBlockTable[N];
}
void calcBallotNumbers() {
for(int p = 0; p <= BlockSize; p ++) {
for(int q = 0; q <= BlockSize; q ++) {
if(p == 0 && q == 0)
ballotNumbers[p][q] = 1;
else if(p <= q)
ballotNumbers[p][q] =
(q ? ballotNumbers[p][q - 1] : 0) +
(p ? ballotNumbers[p - 1][q] : 0);
else
ballotNumbers[p][q] = 0;
}
}
}
void buildInnerBlockTable() {
int numberOfTrees = ballotNumbers[BlockSize][BlockSize];
innerBlockTable = new InBlockIndex[numberOfTrees][BlockSize][BlockSize];
for(int i = 0; i < numberOfTrees; i ++)
innerBlockTable[i][0][0] = -1;
}
};
int foo[kMaxN];
int main() {
ifstream cin("rmq.in");
ofstream cout("rmq.out");
cin.tie(0);
ios_base::sync_with_stdio(false);
int N, M; cin >> N >> M;
for (int i = 0; i < N; i += 1) {
cin >> foo[i];
}
static DirectRMQ<int> rmq;
rmq.build(foo, N);
for (int i = 0; i < M; i += 1) {
int x, y; cin >> x >> y;
cout << rmq.queryVal(foo, x - 1, y - 1) << '\n';
}
return 0;
}