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#include <bits/stdc++.h>
#define INF 0x3f3f3f3f
using namespace std;
class OutParser {
private:
FILE *fout;
char *buff;
int sp;
void write_ch(char ch) {
if (sp == 50000) {
fwrite(buff, 1, 50000, fout);
sp = 0;
buff[sp++] = ch;
} else {
buff[sp++] = ch;
}
}
public:
OutParser(const char* name) {
fout = fopen(name, "w");
buff = new char[50000]();
sp = 0;
}
~OutParser() {
fwrite(buff, 1, sp, fout);
fclose(fout);
}
OutParser& operator << (int vu32) {
if (vu32 <= 9) {
write_ch(vu32 + '0');
} else {
(*this) << (vu32 / 10);
write_ch(vu32 % 10 + '0');
}
return *this;
}
OutParser& operator << (long long vu64) {
if (vu64 <= 9) {
write_ch(vu64 + '0');
} else {
(*this) << (vu64 / 10);
write_ch(vu64 % 10 + '0');
}
return *this;
}
OutParser& operator << (char ch) {
write_ch(ch);
return *this;
}
OutParser& operator << (const char *ch) {
while (*ch) {
write_ch(*ch);
++ch;
}
return *this;
}
};
ifstream fin("robotei.in");
OutParser fout("robotei.out");
const int kN = 1e3;
const int kM = 7e5;
int n, m, X, Y, modX, modY, offX, offY, len, cntX1[kN], cntY1[kN], cntX2[kN], cntY2[kN], dp[kN][kN];
bitset<kN> vis[kN];
vector<pair<short, short>> g[kN][kN];
pair<short, short> q[kN * kN];
long long sol[kM];
pair<int, int> getNext(int x, int y) {
return {((long long)x * x % modX + offX) % modX, ((long long)y * y % modY + offY) % modY};
}
void findCycle(int x, int y) {
vis[x][y] = true;
len += 1;
int xv, yv;
tie(xv, yv) = getNext(x, y);
if (xv == X && yv == Y) {
return;
}
if (vis[xv][yv]) {
len = 0;
return;
}
findCycle(xv, yv);
}
void testCase() {
fin >> n >> m >> X >> Y >> modX >> modY >> offX >> offY;
for (int i = 0; i < n; ++i) {
cntX1[((long long)i * i % modX + offX) % modX] += 1;
}
for (int i = 0; i < n; ++i) {
cntY1[((long long)i * i % modY + offY) % modY] += 1;
}
for (int i = modX; i < n; ++i) {
cntX2[((long long)i * i % modX + offX) % modX] += 1;
}
for (int i = modY; i < n; ++i) {
cntY2[((long long)i * i % modY + offY) % modY] += 1;
}
findCycle(X, Y);
for (int i = 0; i < modX; ++i) {
for (int j = 0; j < modY; ++j) {
int iv, jv;
tie(iv, jv) = getNext(i, j);
g[iv][jv].emplace_back(i, j);
dp[i][j] = INF;
}
}
int l = 0, r = -1;
dp[X][Y] = 0;
q[++r] = {X, Y};
assert(X < modX && Y < modY);
while (l <= r) {
int i, j;
tie(i, j) = q[l++];
for (auto it : g[i][j]) {
int iv, jv;
tie(iv, jv) = it;
if (dp[iv][jv] > dp[i][j] + 1) {
dp[iv][jv] = dp[i][j] + 1;
q[++r] = {iv, jv};
}
}
}
for (int i = 0; i < modX; ++i) {
for (int j = 0; j < modY; ++j) {
for (int d : {dp[i][j], dp[i][j] + 1}) {
int visits = (d <= m), rem = max(0, m - d);
if (len) {
visits += rem / len;
}
if (d == dp[i][j]) {
sol[visits] += 1;
} else {
sol[visits] += (long long)cntX2[i] * cntY1[j] + (long long)cntX1[i] * cntY2[j] - (long long)cntX2[i] * cntY2[j];
}
}
}
}
for (int i = 0; i <= m; ++i) {
if (sol[i]) {
fout << i << ' ' << sol[i] << '\n';
}
}
}
int main() {
int tests = 1;
for (int tc = 0; tc < tests; ++tc) {
testCase();
}
return 0;
}