#include <bits/stdc++.h>
#ifndef ONLINE_JUDGE
#include "koala.h"
#endif
#define vt vector
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define ff first
#define ss second
#define dbg(x) cerr << #x << " = " << x << '\n'
#define bit(x, i) ((x) >> (i) & 1)
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using vvt = vt< vt<int> >;
#ifdef ONLINE_JUDGE
static int N, W;
static int P[105];
static int maxQueries = 3200;
static int numQueries;
static void runGame(int F);
static void grader();
int main() {
grader();
return 0;
}
void playRound(int *B, int *R) {
int i, j;
int S = 0;
for (i=0;i<N;++i) {
if ( !(B[i] >= 0 && B[i] <= W) ) {
printf("Invalid query.\n");
exit(0);
}
S += B[i];
}
if (S > W) {
printf("Invalid query.\n");
exit(0);
}
numQueries++;
if (numQueries > maxQueries) {
printf("Too many queries.\n");
exit(0);
}
int cache[2][205];
int num[2][205];
char taken[105][205];
for (i=0;i<205;++i) {
cache[1][i] = 0;
num[1][i] = 0;
}
for (i=0;i<N;++i) {
int v = B[i]+1;
int ii = i&1;
int o = ii^1;
for (j=0;j<=W;++j) {
cache[ii][j] = cache[o][j];
num[ii][j] = num[o][j];
taken[i][j] = 0;
}
for (j=W;j>=v;--j) {
int h = cache[o][j-v] + P[i];
int hn = num[o][j-v] + 1;
if (h > cache[ii][j] || (h == cache[ii][j] && hn > num[ii][j])) {
cache[ii][j] = h;
num[ii][j] = hn;
taken[i][j] = 1;
} else {
taken[i][j] = 0;
}
}
}
int cur = W;
for (i=N-1;i>=0;--i) {
R[i] = taken[i][cur] ? (B[i] + 1) : 0;
cur -= R[i];
}
}
#endif
int a[100], b[100];
int minValue(int n, int w) {
fill(a, a + n, 0);
a[0] = 1;
playRound(a, b);
for (int i = 1; i < n; i++) if (b[i] == 0) return i;
return 0;
}
int maxValue (int n, int w) {
vt<int> p(n);
iota(all(p), 0ll);
while (sz(p) != 1) {
fill(a, a + n, 0);
int x = w / sz(p);
for (int i: p) a[i] = x;
playRound(a, b);
p.clear();
for (int i = 0; i < n; i++) if (b[i] == x + 1) p.pb(i);
}
return p[0];
}
int greaterValue (int n, int w) {
fill(a, a + n, 0);
int l = 1, r = 13, ans = 0;
while (l <= r) {
int mid = l + r >> 1;
fill(a, a + n, 0);
a[0] = a[1] = mid;
playRound(a, b);
if (b[0] != b[1]) return (b[0] < b[1]);
if (b[0] > mid && b[1] > mid) ans = mid, l = mid + 1;
else r = mid - 1;
}
a[0] = a[1] = ans;
playRound(a, b);
return (b[0] < b[1]);
}
bool comp (int i, int j, int n, int w) {
fill(a, a + n, 0);
a[i] = a[j] = w / 2;
playRound(a, b);
return (b[j] > w / 2);
}
vt<int> merge_sort (vt<int> &v, int n, int w) {
if (sz(v) == 1) return v;
vt<int> l, r;
for (int i = 0; i < sz(v); i++) {
if (i < sz(v) / 2) l.pb(v[i]);
else r.pb(v[i]);
}
l = merge_sort(l, n, w);
r = merge_sort(r, n, w);
v.clear();
int i = 0, j = 0;
while (i < sz(l) && j < sz(r)) v.pb((comp(l[i], r[j], n, w) ? l[i++] : r[j++]));
while (i < sz(l)) v.pb(l[i++]);
while (j < sz(r)) v.pb(r[j++]);
return v;
}
bool check (int x, int l, int r, int w) {
int mx = r, mn = 1, cnt = r - l + 1;
while (mx >= l) {
int sum = 0;
while (mn < l && sum <= mx && cnt <= x) {
sum += mn;
mn++;
cnt++;
}
if (cnt <= x) break;
cnt -= x + 1;
mx--;
}
return (mx >= l && mx < r);
}
int get (int L, int R, int w) {
for (int x = 1; x <= w / (R - L + 1); x++) {
if (check(x, L, R, w)) return x;
}
return -1;
}
void solve (vt<int> &v, int l, int r, int n, int w, int *p) {
if (l == r) {
p[v[0]] = l;
return;
}
int x = get(l, r, w);
fill(a, a + n, 0);
for (int i: v) a[i] = x;
playRound(a, b);
vt<int> L, R;
for (int i: v) {
if (b[i] == x + 1) R.pb(i);
else L.pb(i);
}
solve(L, l, l + sz(L) - 1, n, w, p);
solve(R, r - sz(R) + 1, r, n, w, p);
}
void allValues (int n, int w, int *p) {
vt<int> v(n);
iota(all(v), 0);
if (w == n * 2) {
v = merge_sort(v, n, w);
for (int i = 0; i < n; i++) p[v[i]] = i + 1;
return;
}
solve(v, 1, n, n, w, p);
}
#ifdef ONLINE_JUDGE
static void runGame(int F) {
int i;
scanf("%d %d",&N,&W);
for (i=0;i<N;++i) {
scanf("%d",&P[i]);
}
numQueries = 0;
if (F == 1) {
printf("%d\n", minValue(N, W));
} else if (F == 2) {
printf("%d\n", maxValue(N, W));
} else if (F == 3) {
printf("%d\n", greaterValue(N, W));
} else if (F == 4) {
int userP[105];
allValues(N, W, userP);
for (i=0;i<N;i++) {
printf("%d ",userP[i]);
}
printf("\n");
}
printf("Made %d calls to playRound.\n", numQueries);
}
static void grader() {
int i;
int F, G;
scanf("%d %d",&F,&G);
for (i=0;i<G;i++) {
runGame(F);
}
}
#endif
