ZJU PAT 1089

//当检测到数列与所给数列相同之后，要在下一次发生insertion时，也就是当数列发生了改变时，才输出

#include <iostream>
#include <algorithm>
#include <vector>

using namespace std;

int n;

bool compare(vector<int> a, vector<int> b) {
    for (int i = 0; i != n; ++i) {
        if (a[i] != b[i]) {
            return false;
        }
    }
    return true;
}

void print(vector<int> a) {
    for (int i = 0; i != n - 1; ++i) {
        printf("%d ", a[i]);
    }
    printf("%d\n", a[n - 1]);
}

bool doInsert(vector<int> in, vector<int> re) {
    vector<int>::iterator it1 = in.begin();
    vector<int>::iterator it2 = in.begin();

    bool find = false;
    for (; it2 != in.end();) {
        if (!find && compare(in, re)) {
            printf("Insertion Sort\n");
            find = true;
        }

        advance(it2, 1);
        sort(it1, it2);

        if (find && !compare(in, re)) {
            print(in);
            return true;
        }
    }

    return false;
}

void doMerge(vector<int> me, vector<int> re) {
    int k = (int)(log(n*1.0) / log(2.0));

    bool find = false;
    for (int i = 0, step = 2; i != k; ++i, step *= 2) {
        if (!find && compare(me, re)) {
            printf("Merge Sort\n");
            find = true;
        }

        vector<int>::iterator it1 = me.begin();
        vector<int>::iterator it2;
        for (int j = 0; j != n / step; ++j) {
            if (j != 0) {
                advance(it1, step);
            }
            it2 = it1;
            advance(it2, step);
            sort(it1, it2);
        }

        if (it2 != me.end()) {
            sort(it2, me.end());
        }

        if (find && !compare(me, re)) {
            print(me);
            return;
        }
    }

    sort(me.begin(), me.end());
    print(me);
}

int main() {
    scanf("%d", &n);
    vector<int> in, me, re;

    int num;
    for (int i = 0; i != n; ++i) {
        scanf("%d", &num);
        in.push_back(num);
        me.push_back(num);
    }

    for (int i = 0; i != n; ++i) {
        scanf("%d", &num);
        re.push_back(num);
    }

    if (doInsert(in, re)) {
        return 0;
    }

    doMerge(me, re);
    return 0;
}