public void solve(int testNumber, FastScanner in, FastPrinter out) {
int n = in.nextInt();
int p = in.nextInt();
int m = in.nextInt();
Query[] qs = new Query[m];
int[] z = new int[4 * m + 10];
int cn = 0;
for (int i = 0; i < m; i++) {
int time = in.nextInt();
int type = in.next().equals("save") ? 0 : 1;
int a = in.nextInt();
int b = in.nextInt();
qs[i] = new Query(time, type, a, b);
if (type == 0) {
z[cn++] = a - 1;
z[cn++] = b;
} else {
--a;
z[cn++] = a - b + 1;
z[cn++] = a;
z[cn++] = a + b;
}
}
z[cn++] = 0;
z[cn++] = n;
z = Arrays.copyOf(z, cn);
z = ArrayUtils.sortAndUnique(z);
int[] cnt = new int[z.length - 1];
{
for (int i = 0; i < z.length - 1; i++) {
cnt[i] = z[i + 1] - z[i];
}
}
SegmentTree tree = new SegmentTree(cnt);
int last = 0;
double all = 0;
for (int i = 0; i < m; i++) {
int time = qs[i].time;
tree.addValue(0, cnt.length, 1. * p * (time - last), 0);
last = time;
if (qs[i].type == 0) {
int l = qs[i].a - 1;
int r = qs[i].b;
l = Arrays.binarySearch(z, l);
r = Arrays.binarySearch(z, r);
double sum = tree.getSum(l, r);
all += sum;
out.println(all);
tree.setZero(l, r);
} else {
int index = qs[i].a - 1;
int d = qs[i].b;
double x = all / (2 * SegmentTree.sum(d) + d);
int id = Arrays.binarySearch(z, index);
tree.addValue(Arrays.binarySearch(z, index - d + 1), id, x, x);
tree.addValue(id, Arrays.binarySearch(z, index + d), d * x, -x);
all = 0;
}
}
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
int n = in.nextInt();
int k = in.nextInt();
MOD = in.nextInt();
int[][] dp = new int[2][k];
int ten = 1;
int ans = 0;
dp[0][0] = 1;
for (int i = 0; i < n; i++, ten = ten * 10 % k) {
int[][] next = new int[2][k];
for (int mod = 0; mod < k; mod++) {
for (int d = 0; d < 10; d++) {
int nMod = (mod + ten * d) % k;
for (int has = 0; has < 2; has++) {
int val = dp[has][mod];
if (val == 0) continue;
int nHas = has;
if (nMod == 0 && d > 0) nHas = 1;
next[nHas][nMod] = add(next[nHas][nMod], val);
if (i + 1 == n && d > 0 && nHas == 1) ans = add(ans, val);
}
}
}
dp = next;
}
out.println(ans);
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
int n = in.nextInt();
int[] a = new int[n];
int[] b = new int[n];
int[] c = new int[n];
int[] d = new int[n];
for (int i = 0; i < n; i++) {
a[i] = in.nextInt();
b[i] = in.nextInt();
c[i] = in.nextInt();
d[i] = in.nextInt();
}
boolean[] bad = new boolean[n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (a[i] > a[j] && b[i] > b[j] && c[i] > c[j]) {
bad[j] = true;
}
}
}
int best = -1;
for (int i = 0; i < n; i++) {
if (bad[i]) {
continue;
}
if (best < 0 || d[best] > d[i]) {
best = i;
}
}
out.println(best + 1);
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
long n = in.nextLong();
int c = in.nextInt();
int m = in.nextInt();
int[][] a = new int[c][c];
for (int[] d : a) {
Arrays.fill(d, 1);
}
for (int i = 0; i < m; i++) {
int x = in.nextInt() - 1;
int y = in.nextInt() - 1;
a[x][y] = 0;
a[y][x] = 0;
}
Matrix matrix = new Matrix(a);
final int MOD = 1000000007;
matrix = Matrix.powMod(matrix, n - 1, MOD);
int[] ones = new int[c];
Arrays.fill(ones, 1);
Matrix x = new Matrix(new int[][] {ones});
x = x.multiplyMod(matrix, MOD);
long ans = 0;
for (int i = 0; i < x.n; i++) {
for (int j = 0; j < x.m; j++) {
ans += x.get(i, j);
ans %= MOD;
}
}
out.println(ans);
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
Point[] p1 = new Point[4];
Point[] p2 = new Point[4];
for (int i = 0; i < 4; i++) {
p1[i] = new Point(in.nextInt(), in.nextInt());
p2[i] = new Point(in.nextInt(), in.nextInt());
}
int[] first = new int[4];
int[] second = new int[4];
Arrays.fill(first, -1);
Arrays.fill(second, -1);
for (int i = 0; i < 4; i++) {
for (int j = 0; j < 4; j++) {
if (i == j) {
continue;
}
if (p1[i].equals(p2[j])
|| p1[i].equals(p1[j])
|| p2[i].equals(p1[j])
|| p2[i].equals(p2[j])) {
if (first[i] < 0) {
first[i] = j;
} else if (second[i] < 0) {
second[i] = j;
} else {
out.println("NO");
return;
}
}
}
}
for (int i = 0; i < 4; i++) {
if (second[i] < 0) {
out.println("NO");
return;
}
}
int[] p = new int[4];
p[1] = first[0];
for (int i = 2; i < 4; i++) {
p[i] = p[i - 2] ^ first[p[i - 1]] ^ second[p[i - 1]];
}
Point[] v = new Point[4];
for (int i = 0; i < 4; i++) {
v[i] = p2[p[i]].sub(p1[p[i]]);
}
for (int i = 0; i < 4; i++) {
if (v[i].smul(v[(i + 1) & 3]) != 0
|| v[i].abs2() != v[i + 2 & 3].abs2()
|| v[i].abs2() == 0
|| (v[i].x != 0 && v[i].y != 0)) {
out.println("NO");
return;
}
}
out.println("YES");
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
int n = in.nextInt();
int length = in.nextInt();
int[] a = new int[n];
for (int i = 0; i < n; i++) {
a[i] = in.nextInt();
}
Arrays.sort(a);
double ans = 0;
ans = Math.max(ans, a[0]);
ans = Math.max(ans, length - a[n - 1]);
for (int i = 1; i < n; i++) {
ans = Math.max(ans, (a[i] - a[i - 1]) * .5);
}
out.println(ans);
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
int n = in.nextInt();
String s = in.next();
f = new int[primes.length];
add = new int[10][primes.length];
for (int d = 2; d < 10; d++) {
int[] f = add[d];
for (int i = 0; i < primes.length; i++) {
int p = primes[i];
int x = d;
while (x > 0) {
x /= p;
f[i] += x;
}
}
}
for (char c : s.toCharArray()) {
int d = c - '0';
if (d <= 1) continue;
for (int i = 0; i < primes.length; i++) {
f[i] += add[d][i];
}
}
g = new int[primes.length];
x = new int[100];
if (go(0, 9)) {
for (int i = 0; i < len; i++) {
out.print(x[i]);
}
out.println();
} else {
throw new AssertionError();
}
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
int n1 = in.nextInt();
int n2 = in.nextInt();
int k1 = in.nextInt();
int k2 = in.nextInt();
boolean[][][] win = new boolean[2][n1 + 1][n2 + 1];
for (int i = 0; i <= n1; i++) {
for (int j = 0; j <= n2; j++) {
for (int e = 1; e <= k1 && e <= i; e++) {
win[0][i][j] |= !win[1][i - e][j];
}
for (int e = 1; e <= k2 && e <= j; e++) {
win[1][i][j] |= !win[0][i][j - e];
}
}
}
out.println(win[0][n1][n2] ? "First" : "Second");
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
int n = in.nextInt();
int m = in.nextInt();
int b = n % m;
for (int i = 0; i < m - b; i++) {
out.print(n / m + " ");
}
for (int i = 0; i < b; i++) {
out.print(n / m + 1 + " ");
}
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
int n = in.nextInt();
int m = in.nextInt();
int[] from = new int[m];
int[] to = new int[m];
for (int i = 0; i < m; i++) {
from[i] = in.nextInt() - 1;
to[i] = in.nextInt() - 1;
}
edges = GraphUtils.getEdgesDirectedUnweighted(n, from, to);
g = new int[n];
Arrays.fill(g, -1);
for (int i = 0; i < n; i++) {
if (g[i] < 0) {
dfs(i);
}
}
for (int i = 0; i < n; i++) {
out.println(g[i]);
}
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
int n = in.nextInt();
List<Integer> answer = new ArrayList<>();
int last = -1;
for (int i = n; i >= 0; i--) {
List<Integer> d = get(n, last == -1 ? (1 << i) - 1 : (last & (last - 1)));
answer.addAll(d);
last = answer.get(answer.size() - 1);
}
for (int i : answer) {
for (int j = 0; j < n; j++) {
out.print((i >> j) & 1);
}
out.println();
}
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
int a1 = in.nextInt();
int b1 = in.nextInt();
int a2 = in.nextInt();
int b2 = in.nextInt();
if ((long) free(a1) * free(b1) != (long) free(a2) * free(b2)) {
out.println(-1);
return;
}
int two1 = two(a1) + two(b1);
int three1 = three(a1) + three(b1);
int two2 = two(a2) + two(b2);
int three2 = three(a2) + three(b2);
int best = Integer.MAX_VALUE;
int ansTwo = -1;
int ansThree = -1;
for (int two = 0; two <= two1 || two <= two2; two++) {
for (int three = 0; three <= three1 && three <= three2; three++) {
int cost = three1 + three2 - three * 2;
int c1 = two1 + three1 - three;
int c2 = two2 + three2 - three;
if (c1 < two || c2 < two) continue;
cost += c1 - two;
cost += c2 - two;
if (cost < best) {
best = cost;
ansTwo = two;
ansThree = three;
}
}
}
while (three1 > ansThree) {
if (a1 % 3 == 0) {
a1 /= 3;
a1 *= 2;
--three1;
++two1;
continue;
}
if (b1 % 3 == 0) {
b1 /= 3;
b1 *= 2;
--three1;
++two1;
continue;
}
throw new AssertionError();
}
while (three2 > ansThree) {
if (a2 % 3 == 0) {
a2 /= 3;
a2 *= 2;
--three2;
++two2;
continue;
}
if (b2 % 3 == 0) {
b2 /= 3;
b2 *= 2;
--three2;
++two2;
continue;
}
throw new AssertionError();
}
while (two1 > ansTwo) {
if (a1 % 2 == 0) {
a1 /= 2;
--two1;
continue;
}
if (b1 % 2 == 0) {
b1 /= 2;
--two1;
continue;
}
throw new AssertionError();
}
while (two2 > ansTwo) {
if (a2 % 2 == 0) {
a2 /= 2;
--two2;
continue;
}
if (b2 % 2 == 0) {
b2 /= 2;
--two2;
continue;
}
throw new AssertionError();
}
out.println(best);
out.println(a1 + " " + b1);
out.println(a2 + " " + b2);
}
public void solve(int testNumber, FastScanner in, FastPrinter out) {
Circle2DDouble c =
new Circle2DDouble(new Point2DDouble(in.nextInt(), in.nextInt()), in.nextInt());
Point2DDouble p1 = new Point2DDouble(in.nextInt(), in.nextInt());
Point2DDouble p2 = new Point2DDouble(in.nextInt(), in.nextInt());
if (p1.x > p2.x) {
double t = p1.x;
p1.x = p2.x;
p2.x = t;
}
if (p1.y > p2.y) {
double t = p1.y;
p1.y = p2.y;
p2.y = t;
}
List<Point2DDouble> allPoints = new ArrayList<>();
allPoints.add(p1);
allPoints.add(p2);
allPoints.add(new Point2DDouble(p1.x, p2.y));
allPoints.add(new Point2DDouble(p2.x, p1.y));
allPoints.add(new Point2DDouble(c.p.x - c.radius, c.p.y));
allPoints.add(new Point2DDouble(c.p.x + c.radius, c.p.y));
allPoints.add(new Point2DDouble(c.p.x, c.p.y - c.radius));
allPoints.add(new Point2DDouble(c.p.x, c.p.y + c.radius));
for (double x : new double[] {p1.x, p2.x}) {
if (comp.compare(x, c.p.x - c.radius) > 0 && comp.compare(x, c.p.x + c.radius) < 0) {
double dx = c.p.x - x;
double dy = Math.sqrt(c.radius * c.radius - dx * dx);
allPoints.add(new Point2DDouble(x, c.p.y - dy));
allPoints.add(new Point2DDouble(x, c.p.y + dy));
}
}
for (double y : new double[] {p1.y, p2.y}) {
if (comp.compare(y, c.p.y - c.radius) > 0 && comp.compare(y, c.p.y + c.radius) < 0) {
double dy = c.p.y - y;
double dx = Math.sqrt(c.radius * c.radius - dy * dy);
allPoints.add(new Point2DDouble(c.p.x - dx, y));
allPoints.add(new Point2DDouble(c.p.x + dx, y));
}
}
List<Point2DDouble> onRect = new ArrayList<>();
for (Point2DDouble e : allPoints) {
if (inside(p1, p2, e)) {
if (comp.compare(p1.x, e.x) < 0
&& comp.compare(e.x, p2.x) < 0
&& comp.compare(p1.y, e.y) < 0
&& comp.compare(e.y, p2.y) < 0) {
continue;
}
onRect.add(e);
}
}
List<Point2DDouble> onCircle = new ArrayList<>();
for (Point2DDouble e : allPoints) {
if (comp.compare(e.distance(c.p), c.radius) == 0) {
onCircle.add(e);
}
}
final Point2DDouble centerRect = p1.add(p2).multiply(0.5);
Collections.sort(
onRect,
new Comparator<Point2DDouble>() {
int get(Point2DDouble e) {
int x = comp.compare(e.x, 0);
int y = comp.compare(e.y, 0);
if (x > 0) {
return y > 0 ? 2 : y < 0 ? 8 : 1;
} else if (x < 0) {
return y > 0 ? 4 : y < 0 ? 6 : 5;
} else {
return y > 0 ? 3 : y < 0 ? 7 : 0;
}
}
@Override
public int compare(Point2DDouble o1, Point2DDouble o2) {
o1 = o1.subtract(centerRect);
o2 = o2.subtract(centerRect);
int c = get(o1) - get(o2);
if (c != 0) return c;
return comp.compare(o2.vmul(o1), 0);
}
});
final Point2DDouble circleCenter = c.p;
Collections.sort(
onCircle,
new Comparator<Point2DDouble>() {
int get(Point2DDouble e) {
int x = comp.compare(e.x, 0);
int y = comp.compare(e.y, 0);
if (x > 0) {
return y > 0 ? 2 : y < 0 ? 8 : 1;
} else if (x < 0) {
return y > 0 ? 4 : y < 0 ? 6 : 5;
} else {
return y > 0 ? 3 : y < 0 ? 7 : 0;
}
}
@Override
public int compare(Point2DDouble o1, Point2DDouble o2) {
o1 = o1.subtract(circleCenter);
o2 = o2.subtract(circleCenter);
int c = get(o1) - get(o2);
if (c != 0) return c;
return comp.compare(o2.vmul(o1), 0);
}
});
List<Segment> allSegments = new ArrayList<>();
for (int i = 0; i < onRect.size(); i++) {
Point2DDouble r1 = onRect.get(i);
Point2DDouble r2 = onRect.get((i + 1) % onRect.size());
if (pointsEqual(r1, r2)) continue;
Point2DDouble r0 = r1.add(r2).multiply(0.5);
if (comp.compare(r0.distance(c.p), c.radius) < 0) {
allSegments.add(new Segment(r1, r2, 0));
}
}
for (int i = 0; i < onCircle.size(); i++) {
Point2DDouble r1 = onCircle.get(i);
Point2DDouble r2 = onCircle.get((i + 1) % onCircle.size());
if (pointsEqual(r1, r2)) continue;
r1 = r1.subtract(c.p);
r2 = r2.subtract(c.p);
Point2DDouble r0 = r1.add(r2);
r0 = r0.multiply(c.radius / r0.length());
r0 = r0.add(c.p);
if (inside(p1, p2, r0)) {
allSegments.add(new Segment(r1.add(c.p), r2.add(c.p), c.radius));
}
}
if (allSegments.isEmpty()) {
out.println(0);
return;
}
boolean[] was = new boolean[allSegments.size()];
List<Segment> sortedSegments = new ArrayList<>();
sortedSegments.add(allSegments.get(0));
was[0] = true;
Point2DDouble last = sortedSegments.get(sortedSegments.size() - 1).q;
// System.out.println(allSegments);
while (!pointsEqual(sortedSegments.get(0).p, last)) {
int id = -1;
for (int i = 0; i < allSegments.size(); i++) {
if (was[i]) continue;
Segment e = allSegments.get(i);
if (pointsEqual(e.p, last)) {
id = i;
break;
}
}
if (id < 0) throw new AssertionError();
was[id] = true;
sortedSegments.add(allSegments.get(id));
last = allSegments.get(id).q;
}
double area = 0;
for (Segment e : sortedSegments) {
area += e.p.vmul(e.q);
}
area = Math.abs(area) * .5;
for (Segment e : sortedSegments) {
if (comp.compare(e.r, 0) > 0) {
double dist = e.p.distance(e.q);
double sin = dist * .5 / c.radius;
if (sin > 1) sin = 1;
else if (sin < -1) sin = -1;
double ang = Math.asin(sin) * 2;
area += c.radius * c.radius * .5 * (ang - Math.sin(ang));
}
}
out.println(area);
}