2021-07-01 09:02:20 +00:00
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#include <bits/stdc++.h>
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using namespace std;
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double dis2d(int x1, int y1, int x2, int y2) {
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return sqrt(pow(x1 - x2, 2) + pow(y1 - y2, 2));
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}
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double dis3d(int x1, int y1, int z1, int x2, int y2, int z2) {
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return sqrt(pow(x1 - x2, 2) + pow(y1 - y2, 2) + pow(z1 - z2, 2));
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}
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int main() {
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int n, r, d, v;
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double s = 9999999.00, f[1005][1005];
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2022-05-20 01:23:27 +00:00
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2021-07-01 09:02:20 +00:00
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struct {
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int x, y, z;
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} a[1005];
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2022-05-20 01:23:27 +00:00
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2021-07-01 09:02:20 +00:00
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cin >> n >> r >> d >> v;
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for (int i = 1; i <= n; i++) {
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cin >> a[i].x >> a[i].y >> a[i].z;
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}
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for (int i = 1; i <= n; i++) {
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for (int j = 1; j <= n; j++) {
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2021-11-19 09:01:13 +00:00
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f[i][j] = i == j ? 0 : 0x3f3f3f3f;
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2021-07-01 09:02:20 +00:00
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}
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}
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for (int i = 1; i <= n; i++) {
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for (int j = 1; j <= n; j++) {
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double dis1 = dis2d(a[i].x, a[i].y, a[j].x, a[j].y);
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if (dis1 <= r && abs(a[i].z - a[j].z) <= d) {
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double dis2 = dis3d(a[i].x, a[i].y, a[i].z, a[j].x, a[j].y, a[j].z);
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f[i][j] = dis2;
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f[j][i] = dis2;
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}
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}
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}
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for (int k = 1; k <= n; k++) {
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for (int i = 1; i <= n; i++) {
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for (int j = 1; j <= n; j++) {
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f[i][j] = min(f[i][j], f[i][k] + f[k][j]);
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}
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}
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}
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2021-11-19 09:01:13 +00:00
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if (f[1][n] == 0x3f3f3f3f) {
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2021-07-01 09:02:20 +00:00
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cout << "No Solution" << endl;
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} else {
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cout << fixed << setprecision(3) << f[1][n] / v << endl;
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}
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return 0;
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}
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