Cod sursa(job #2872639)

Utilizator Alex_tz307Lorintz Alexandru Alex_tz307 Data 17 martie 2022 16:35:12
Problema Robotei Scor 90
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 2.35 kb
#include <bits/stdc++.h>
#define INF 0x3f3f3f3f

using namespace std;

ifstream fin("robotei.in");
ofstream fout("robotei.out");

struct point {
  int x, y;
};

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];
vector<point> g[kN][kN];
point q[kN * kN];
int64_t sol[kM];

void findCycle(int x, int y) {
  len += 1;
  dp[x][y] = 1;
  int xv = (x * x + offX) % modX;
  int yv = (y * y + offY) % modY;
  if (xv == X && yv == Y) {
    return;
  }
  if (dp[xv][yv]) {
    len = 0;
    return;
  }
  findCycle(xv, yv);
}

void testCase() {
  fin >> n >> m >> X >> Y >> modX >> modY >> offX >> offY;
  if (X >= modX || Y >= modY) {
    fout << "0 " << (int64_t)n * n - 1 << '\n' << "1 1\n";
    return;
  }
  for (int i = 0; i < n; ++i) {
    cntX1[((int64_t)i * i + offX) % modX] += 1;
    cntY1[((int64_t)i * i + offY) % modY] += 1;
    if (i >= modX) {
      cntX2[((int64_t)i * i + offX) % modX] += 1;
    }
    if (i >= modY) {
      cntY2[((int64_t)i * i + offY) % modY] += 1;
    }
  }
  findCycle(X, Y);
  for (int x = 0; x < modX; ++x) {
    for (int y = 0; y < modY; ++y) {
      int xv = (x * x + offX) % modX;
      int yv = (y * y + offY) % modY;
      g[xv][yv].push_back({x, y});
      dp[x][y] = INF;
    }
  }
  int l = 0, r = -1;
  dp[X][Y] = 0;
  q[++r] = {X, Y};
  while (l <= r) {
    point curr = q[l++];
    for (const point &vec : g[curr.x][curr.y]) {
      if (dp[vec.x][vec.y] > dp[curr.x][curr.y] + 1) {
        dp[vec.x][vec.y] = dp[curr.x][curr.y] + 1;
        q[++r] = vec;
      }
    }
  }
  for (int i = 0; i < modX; ++i) {
    for (int j = 0; j < modY; ++j) {
      for (int d = dp[i][j]; d <= dp[i][j] + 1; ++d) {
        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] += (int64_t)cntX2[i] * cntY1[j] + (int64_t)cntX1[i] * cntY2[j] - (int64_t)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();
  }
  fin.close();
  fout.close();
  return 0;
}