You are given circular array a0, a1, ..., an - 1. There are two types of operations with it: 

  * inc(lf, rg, v) — this operation increases each element on the segment [lf, rg] (inclusively) by v; 
  * rmq(lf, rg) — this operation returns minimal value on the segment [lf, rg] (inclusively). 



Assume segments to be circular, so if n = 5 and lf = 3, rg = 1, it means the index sequence: 3, 4, 0, 1.

Write program to process given sequence of operations.

Input

The first line contains integer n (1 ≤ n ≤ 200000). The next line contains initial state of the array: a0, a1, ..., an - 1 ( - 106 ≤ ai ≤ 106), ai are integer. The third line contains integer m (0 ≤ m ≤ 200000), m — the number of operartons. Next m lines contain one operation each. If line contains two integer lf, rg (0 ≤ lf, rg ≤ n - 1) it means rmq operation, it contains three integers lf, rg, v (0 ≤ lf, rg ≤ n - 1; - 106 ≤ v ≤ 106) — inc operation.

Output

For each rmq operation write result for it. Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d).

Examples

Input

4
1 2 3 4
4
3 0
3 0 -1
0 1
2 1


Output

1
0
0
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.InputStream;
/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        TaskC solver = new TaskC();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskC {
        public void solve(int testNumber, InputReader in, OutputWriter out) {
            int n = in.readInt();
            int[] a = IOUtils.readIntArray(in, n);
            RMQ rmq = new RMQ(a);
            int m = in.readInt();
            for (int i = 0; i < m; i++) {
                String[] line = in.readLine().split(" ");
                int left = Integer.parseInt(line[0]);
                int right = Integer.parseInt(line[1]);
                if (line.length == 2) { // query
                    if (left <= right) out.printLine(rmq.query(left, right));
                    else out.printLine(Math.min(rmq.query(0, right), rmq.query(left, n - 1)));
                } else { // update
                    int delta = Integer.parseInt(line[2]);
                    if (left <= right) rmq.update(left, right, delta);
                    else {
                        rmq.update(0, right, delta);
                        rmq.update(left, n - 1, delta);
                    }
                }
            }
        }

        class RMQ extends LongIntervalTree {
            int[] array;

            public RMQ(int[] array) {
                super(array.length, false);
                this.array = array;
                init();
            }

            protected long joinValue(long left, long right) {
                return Math.min(left, right);
            }

            protected long joinDelta(long was, long delta) {
                return was + delta;
            }

            protected long accumulate(long value, long delta, int length) {
                return value + delta;
            }

            protected long neutralValue() {
                return Long.MAX_VALUE / 10;
            }

            protected long neutralDelta() {
                return 0;
            }

            protected long initValue(int index) {
                return array[index];
            }
        }
    }
    static class IOUtils {
        public static int[] readIntArray(InputReader in, int size) {
            int[] array = new int[size];
            for (int i = 0; i < size; i++) {
                array[i] = in.readInt();
            }
            return array;
        }
    }
    static abstract class IntervalTree {
        protected int size;

        protected IntervalTree(int size) {
            this(size, true);
        }

        public IntervalTree(int size, boolean shouldInit) {
            this.size = size;
            int nodeCount = Math.max(1, Integer.highestOneBit(size) << 2);
            initData(size, nodeCount);
            if (shouldInit) {
                init();
            }
        }

        protected abstract void initData(int size, int nodeCount);
        protected abstract void initAfter(int root, int left, int right, int middle);
        protected abstract void initBefore(int root, int left, int right, int middle);
        protected abstract void initLeaf(int root, int index);
        protected abstract void updatePostProcess(int root, int left, int right, int from, int to, long delta, int middle);
        protected abstract void updatePreProcess(int root, int left, int right, int from, int to, long delta, int middle);
        protected abstract void updateFull(int root, int left, int right, int from, int to, long delta);
        protected abstract long queryPostProcess(int root, int left, int right, int from, int to, int middle,
                                                 long leftResult, long rightResult);
        protected abstract void queryPreProcess(int root, int left, int right, int from, int to, int middle);
        protected abstract long queryFull(int root, int left, int right, int from, int to);
        protected abstract long emptySegmentResult();

        public void init() {
            if (size == 0) {
                return;
            }
            init(0, 0, size - 1);
        }

        private void init(int root, int left, int right) {
            if (left == right) {
                initLeaf(root, left);
            } else {
                int middle = (left + right) >> 1;
                initBefore(root, left, right, middle);
                init(2 * root + 1, left, middle);
                init(2 * root + 2, middle + 1, right);
                initAfter(root, left, right, middle);
            }
        }

        public void update(int from, int to, long delta) {
            update(0, 0, size - 1, from, to, delta);
        }

        protected void update(int root, int left, int right, int from, int to, long delta) {
            if (left > to || right < from) {
                return;
            }
            if (left >= from && right <= to) {
                updateFull(root, left, right, from, to, delta);
                return;
            }
            int middle = (left + right) >> 1;
            updatePreProcess(root, left, right, from, to, delta, middle);
            update(2 * root + 1, left, middle, from, to, delta);
            update(2 * root + 2, middle + 1, right, from, to, delta);
            updatePostProcess(root, left, right, from, to, delta, middle);
        }

        public long query(int from, int to) {
            return query(0, 0, size - 1, from, to);
        }

        protected long query(int root, int left, int right, int from, int to) {
            if (left > to || right < from) {
                return emptySegmentResult();
            }
            if (left >= from && right <= to) {
                return queryFull(root, left, right, from, to);
            }
            int middle = (left + right) >> 1;
            queryPreProcess(root, left, right, from, to, middle);
            long leftResult = query(2 * root + 1, left, middle, from, to);
            long rightResult = query(2 * root + 2, middle + 1, right, from, to);
            return queryPostProcess(root, left, right, from, to, middle, leftResult, rightResult);
        }
    }
    static abstract class LongIntervalTree extends IntervalTree {
        protected long[] value;
        protected long[] delta;

        protected LongIntervalTree(int size) {
            this(size, true);
        }

        public LongIntervalTree(int size, boolean shouldInit) {
            super(size, shouldInit);
        }

        protected void initData(int size, int nodeCount) {
            value = new long[nodeCount];
            delta = new long[nodeCount];
        }

        protected abstract long joinValue(long left, long right);
        protected abstract long joinDelta(long was, long delta);
        protected abstract long accumulate(long value, long delta, int length);
        protected abstract long neutralValue();
        protected abstract long neutralDelta();

        protected long initValue(int index) {
            return neutralValue();
        }

        protected void initAfter(int root, int left, int right, int middle) {
            value[root] = joinValue(value[2 * root + 1], value[2 * root + 2]);
            delta[root] = neutralDelta();
        }

        protected void initBefore(int root, int left, int right, int middle) {
        }

        protected void initLeaf(int root, int index) {
            value[root] = initValue(index);
            delta[root] = neutralDelta();
        }

        protected void updatePostProcess(int root, int left, int right, int from, int to, long delta, int middle) {
            value[root] = joinValue(value[2 * root + 1], value[2 * root + 2]);
        }

        protected void updatePreProcess(int root, int left, int right, int from, int to, long delta, int middle) {
            pushDown(root, left, middle, right);
        }

        protected void pushDown(int root, int left, int middle, int right) {
            value[2 * root + 1] = accumulate(value[2 * root + 1], delta[root], middle - left + 1);
            value[2 * root + 2] = accumulate(value[2 * root + 2], delta[root], right - middle);
            delta[2 * root + 1] = joinDelta(delta[2 * root + 1], delta[root]);
            delta[2 * root + 2] = joinDelta(delta[2 * root + 2], delta[root]);
            delta[root] = neutralDelta();
        }

        protected void updateFull(int root, int left, int right, int from, int to, long delta) {
            value[root] = accumulate(value[root], delta, right - left + 1);
            this.delta[root] = joinDelta(this.delta[root], delta);
        }

        protected long queryPostProcess(int root, int left, int right, int from, int to, int middle, long leftResult,
                                        long rightResult) {
            return joinValue(leftResult, rightResult);
        }

        protected void queryPreProcess(int root, int left, int right, int from, int to, int middle) {
            pushDown(root, left, middle, right);
        }

        protected long queryFull(int root, int left, int right, int from, int to) {
            return value[root];
        }

        protected long emptySegmentResult() {
            return neutralValue();
        }
    }
    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1) {
                throw new InputMismatchException();
            }
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int readInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public boolean isSpaceChar(int c) {
            if (filter != null) {
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        private String readLine0() {
            StringBuilder buf = new StringBuilder();
            int c = read();
            while (c != '\n' && c != -1) {
                if (c != '\r') {
                    buf.appendCodePoint(c);
                }
                c = read();
            }
            return buf.toString();
        }

        public String readLine() {
            String s = readLine0();
            while (s.trim().length() == 0) {
                s = readLine0();
            }
            return s;
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void close() {
            writer.close();
        }

        public void printLine(long i) {
            writer.println(i);
        }
    }
}

