結果

問題 No.5020 Averaging
ユーザー 👑 ygussany
提出日時 2024-02-25 14:30:02
言語 C
(gcc 13.3.0)
結果
WA  
実行時間 -
コード長 8,687 bytes
コンパイル時間 603 ms
コンパイル使用メモリ 39,168 KB
実行使用メモリ 6,676 KB
スコア 0
最終ジャッジ日時 2024-02-25 14:30:18
合計ジャッジ時間 15,766 ms
ジャッジサーバーID
(参考情報)
judge13 / judge11
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ファイルパターン 結果
other WA * 50
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ソースコード

diff #
プレゼンテーションモードにする

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <sys/time.h>
struct timeval tt;
double beg, cur;
#define MT_N 624
#define MT_M 397
#define MT_MATRIX_A 0x9908b0dfUL
#define MT_UPPER_MASK 0x80000000UL
#define MT_LOWER_MASK 0x7fffffffUL
static unsigned int mt[MT_N];
static int mti = MT_N + 1;
void init_genrand(unsigned int s)
{
mt[0] = s & 0xffffffffUL;
for (mti = 1; mti < MT_N; mti++) {
mt[mti] = (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
mt[mti] &= 0xffffffffUL;
}
}
unsigned int genrand()
{
unsigned int y;
static unsigned int mag01[2] = {0x0UL, MT_MATRIX_A};
if (mti >= MT_N) {
int kk;
if (mti == MT_N + 1) init_genrand(5489UL);
for (kk = 0; kk < MT_N - MT_M; kk++) {
y = (mt[kk] & MT_UPPER_MASK) | (mt[kk+1] & MT_LOWER_MASK);
mt[kk] = mt[kk+MT_M] ^ (y >> 1) ^ mag01[y&0x1UL];
}
for (; kk < MT_N - 1; kk++) {
y = (mt[kk] & MT_UPPER_MASK) | (mt[kk+1] & MT_LOWER_MASK);
mt[kk] = mt[kk+(MT_M-MT_N)] ^ (y >> 1) ^ mag01[y&0x1UL];
}
y = (mt[MT_N-1] & MT_UPPER_MASK) | (mt[0] & MT_LOWER_MASK);
mt[MT_N-1] = mt[MT_M-1] ^ (y >> 1) ^ mag01[y&0x1UL];
mti = 0;
}
y = mt[mti++];
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680UL;
y ^= (y << 15) & 0xefc60000UL;
y ^= (y >> 18);
return y;
}
void shuffle_permutation(int N, int p[], int K)
{
int i, j;
while (K--) {
i = genrand() % N + 1;
j = genrand() % N + 1;
if (i != j) {
p[i] ^= p[j];
p[j] ^= p[i];
p[i] ^= p[j];
}
}
}
void chmax(long long *a, long long b)
{
if (*a < b) *a = b;
}
const long long THR = 500000000000000000LL;
int score(int N, long long A[], long long B[])
{
static long long tmp;
tmp = llabs(A[1] - THR);
chmax(&tmp, llabs(B[1] - THR));
if (tmp == 0) return 2000050;
return (int)(2000000 - 100000 * log10(tmp + 1.0));
}
long long score_random_playout(int N, long long AA[], long long BB[], int K, int L)
{
static int i, j, k;
static long long A[46], B[46], ans, tmp;
ans = 0;
while (L--) {
for (i = 1; i <= N; i++) {
A[i] = AA[i];
B[i] = BB[i];
}
for (k = 1; k <= K; k++) {
do {
i = genrand() % N + 1;
j = genrand() % N + 1;
} while (i == j);
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
}
ans += score(N, A, B);
}
return ans;
}
long long score_greedy_playout(int N, long long AA[], long long BB[], int K, int L)
{
static int i, j, k, argmax;
static long long A[46], B[46], ans, tmp, tmpp, max;
ans = 0;
while (L--) {
for (i = 1; i <= N; i++) {
A[i] = AA[i];
B[i] = BB[i];
}
for (k = 1; k <= K; k++) {
for (j = 2, max = 0; j <= N; j++) {
tmp = llabs(A[1] - THR);
chmax(&tmp, llabs(B[1] - THR));
tmpp = llabs((A[1] + A[j]) / 2 - THR);
chmax(&tmpp, llabs((B[1] + B[j]) / 2 - THR));
tmp -= tmpp;
if (max < tmp) {
max = tmp;
argmax = j;
}
}
if (max == 0) {
do {
i = genrand() % N + 1;
j = genrand() % N + 1;
} while (i == j);
} else {
i = 1;
j = argmax;
}
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
}
ans += score(N, A, B);
}
return ans;
}
int score_optimal_triangle(int N, long long AA[], long long BB[], int K)
{
static int i, j, k, ii, jj;
static long long A[4], B[4], tmp, min;
min = THR;
for (ii = 2; ii <= N; ii++) {
for (jj = ii + 1; jj <= N; jj++) {
tmp = llabs((AA[1] + AA[ii] + AA[jj]) / 3 - THR);
chmax(&tmp, llabs((BB[1] + BB[ii] + BB[jj]) / 3 - THR));
if (tmp >= min + 100) continue;
A[1] = AA[1];
B[1] = BB[1];
A[2] = AA[ii];
B[2] = BB[ii];
A[3] = AA[jj];
B[3] = BB[jj];
for (k = 1, i = 1, j = 2; k <= K; k++, i++, j++) {
if (i > 3) i = 1;
if (j > 3) j = 1;
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
}
tmp = llabs(A[1] - THR);
chmax(&tmp, llabs(B[1] - THR));
if (min > tmp) min = tmp;
A[1] = AA[1];
B[1] = BB[1];
A[2] = AA[ii];
B[2] = BB[ii];
A[3] = AA[jj];
B[3] = BB[jj];
for (k = 1, i = 2, j = 3; k <= K; k++, i++, j++) {
if (i > 3) i = 1;
if (j > 3) j = 1;
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
}
tmp = llabs(A[1] - THR);
chmax(&tmp, llabs(B[1] - THR));
if (min > tmp) min = tmp;
A[1] = AA[1];
B[1] = BB[1];
A[2] = AA[ii];
B[2] = BB[ii];
A[3] = AA[jj];
B[3] = BB[jj];
for (k = 1, i = 3, j = 1; k <= K; k++, i++, j++) {
if (i > 3) i = 1;
if (j > 3) j = 1;
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
}
tmp = llabs(A[1] - THR);
chmax(&tmp, llabs(B[1] - THR));
if (min > tmp) min = tmp;
}
}
return (int)(2000000 - 100000 * log10(min + 1.0));
}
int random_playout_based_greedy(int N, long long AA[], long long BB[], int K, int move[][2])
{
static int i, j, k;
static long long A[46], B[46], tmp, tmpp[2][2], max;
for (i = 1; i <= N; i++) {
A[i] = AA[i];
B[i] = BB[i];
}
for (k = 1; k <= K; k++) {
if (A[i] == THR && B[i] == THR) return -(k - 1);
for (i = 1, max = 0; i <= N; i++) {
for (j = i + 1; j <= N; j++) {
tmpp[0][0] = A[i];
tmpp[0][1] = A[j];
tmpp[1][0] = B[i];
tmpp[1][1] = B[j];
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
tmp = score_random_playout(N, A, B, K - k, 40);
if (max < tmp) {
max = tmp;
move[k][0] = i;
move[k][1] = j;
}
A[i] = tmpp[0][0];
A[j] = tmpp[0][1];
B[i] = tmpp[1][0];
B[j] = tmpp[1][1];
}
}
i = move[k][0];
j = move[k][1];
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
}
return score(N, A, B);
}
int greedy_playout_based_greedy(int N, long long AA[], long long BB[], int K, int move[][2])
{
static int i, j, k;
static long long A[46], B[46], tmp, tmpp[2][2], max;
for (i = 1; i <= N; i++) {
A[i] = AA[i];
B[i] = BB[i];
}
for (k = 1; k <= K; k++) {
if (A[i] == THR && B[i] == THR) return -(k - 1);
for (i = 1, max = 0; i <= N; i++) {
for (j = i + 1; j <= N; j++) {
tmpp[0][0] = A[i];
tmpp[0][1] = A[j];
tmpp[1][0] = B[i];
tmpp[1][1] = B[j];
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
tmp = score_greedy_playout(N, A, B, K - k, 4);
if (max < tmp) {
max = tmp;
move[k][0] = i;
move[k][1] = j;
}
A[i] = tmpp[0][0];
A[j] = tmpp[0][1];
B[i] = tmpp[1][0];
B[j] = tmpp[1][1];
}
}
i = move[k][0];
j = move[k][1];
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
}
return score(N, A, B);
}
int optimal_triangle_based_greedy(int N, long long AA[], long long BB[], int K, int move[][2])
{
static int i, j, k;
static long long A[46], B[46], tmp, tmpp[2][2], max;
for (i = 1; i <= N; i++) {
A[i] = AA[i];
B[i] = BB[i];
}
for (k = 1; k <= K; k++) {
if (A[i] == THR && B[i] == THR) return -(k - 1);
for (i = 1, max = 0; i <= N; i++) {
for (j = i + 1; j <= N; j++) {
tmpp[0][0] = A[i];
tmpp[0][1] = A[j];
tmpp[1][0] = B[i];
tmpp[1][1] = B[j];
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
tmp = score_optimal_triangle(N, A, B, K - k);
if (max < tmp) {
max = tmp;
move[k][0] = i;
move[k][1] = j;
}
A[i] = tmpp[0][0];
A[j] = tmpp[0][1];
B[i] = tmpp[1][0];
B[j] = tmpp[1][1];
}
}
i = move[k][0];
j = move[k][1];
tmp = (A[i] + A[j]) / 2;
A[i] = tmp;
A[j] = tmp;
tmp = (B[i] + B[j]) / 2;
B[i] = tmp;
B[j] = tmp;
}
return score(N, A, B);
}
int main()
{
gettimeofday(&tt, NULL);
beg = tt.tv_sec + (double)tt.tv_usec / 1000000;
int i, N;
long long A[46], B[46];
scanf("%d", &N);
for (i = 1; i <= N; i++) scanf("%lld %lld", &(A[i]), &(B[i]));
int k, move[51][2];
// k = random_playout_based_greedy(N, A, B, 50, move);
// k = greedy_playout_based_greedy(N, A, B, 50, move);
k = optimal_triangle_based_greedy(N, A, B, 50, move);
printf("%d\n", k);
if (k <= 0) k *= -1;
else k = 50;
printf("%d\n", k);
for (i = 1; i <= k; i++) printf("%d %d\n", move[i][0], move[i][1]);
fflush(stdout);
return 0;
}
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