Sims En Arte En Orbita , Quito Ecuador 2015
Sims En Arte En Orbita , Quito Ecuador 2015
SIMS Sistema de Induccion Mantrica Satelital
-- Mani Khor o cilindros de oración, son máquinas mántricas ancestrales, originarias del Tibet. Los cilindros están hechos de metales como bronce o cobre y de madera, están labradas con el mantra en sánscrito OM Mani Padme Hum, escrito en el exterior. Los monjes escriben en papiro miles de líneas de el mantra y lo enrollan en una espiral para luego introducirlo en el cilindro, Los practicantes del Budismo tibetano se posicionan frente al cilindro de oración y entonan el Mantra, mientras que con la mano lo hacen girar en dirección a la rotación planetaria. Estos cilindros se rotan infinidad de veces, con la intención de generar una energía de deseos positivos, que es inducida por la máquina. El concepto del cilindro de oración es la manifestación física de girar la rueda del Dharma, que en si, es la descripción de la forma de la enseñanza de Buda. Al rotar el cilindro expresan la intención de la compasión, el deseo que todos los seres cesen el sufrimiento y alcancen la iluminación. El practicante que hace girar el cilindro, induce este deseo en la máquina mántrica que lo amplifica, establece una sincronía con un sistema de inducción mistica ancestral. Por miles de años, frecuencias de energía positiva emanan a partir de una repetición mental y física en forma de ciclos espirales como proceso meditativo y de coneccion con el holos. . El electromagnetismo es una de las 4 superfuerzas del universo conocido, cuyos fundamentos, fueron sentados por primera vez por Michael Faraday, investigand las Teorías de Maxwell, unificando los fenómenos magnéticos y eléctricos. Los físicos e inventores a finales del siglo XIX descubrieron que ambos campos estaban correlacionados y así un campo eléctrico en movimiento o una corriente eléctrica que varíe, genera un campo magnético y un campo magnético de por si implica la presencia de un campo eléctrico. Las investigaciones de Faraday establecieron a la inducción electromagnética como un fenómeno de flujos de magnitudes físicas, lo que llevó a Nicolás Tesla a desarrollar una serie de experimentos con bobinas o inductores construyendo dinamos y máquinas eléctricas que dieron inicio al siglo XX con el establecimiento de la corriente alterna que energetizo el avance tecnológico de la sociedad . En una bobina o un inductor, al hacer circular una corriente eléctrica cíclica por un embobinado de alambre, se genera un campo magnético, que varía en dependencia directa del voltaje y la corriente. Este campo emana de la bobina en forma de un toroide que fluye en dirección de las polaridades expandiéndose.si el procesosi se imvierte se genera energia electrica, Más del 80% de la energía que se consume en el planeta tierra, incluso la nuclear proviene del principio de inducción electromagnética.las bobinas son capaces de convertir un campo electrico a uno magnetico o viceversa, tanto emite como perciben , son capces de elevar o disminuir voltajes de unos pocos a cientos de miles, si una bobina esta cerca de otra y a una de estas se le nutre con energia , la otra percibe el campo magnético induciendo electrones esto es un transformador de eneriga El escritor de ciencia ficción Arthur C. Clarke, propuso en 1945, en una serie de artículos publicados sobre el futuro de la comunicación humana, la idea de los satélites geo-estacionarios para la transmisión inalámbrica de la información. Durante el siglo XX se desarrollo un crecimiento exponencial desde el descubrimiento de utilizar frecuencias electromagnéticas para transmitir información. En la actualidad aún se desconocen muchos factores de comunicación a distancia. Entre las distintas especies planetarias, desde las bacterias a los humanos, se establecen canales de comunicación desconocidos. Bajo un principio de intencionalidad, se plantea co-relacionar percepciones y entendimientos de la energía, la mística y la física, en un sistema de induccion mantrica satelital. Una grabación de audio del mantra Om Mani Padme Hum siendo recitado es digitalizada como un archivo .wav que son datos binarios, secuencias de 1 y 0 pulsos altos y bajos. Utilizando un microcontolador y un convertidor de digital a análogo, se transforman las secuencias binarias en voltajes análogos. El DAC de 8 bits maneja un Byte con valores que van del 0 al 255, el convertidor digital analógico convierte este valor en voltaje. entre 0 y 3.3 volts, el sampleo del archivo es de 8000 bytes por segundo, bytes convertidos a electrones que fluyen como pulsos modulados de energía se hacen circular por un cilindro de alambre de cobre devanado como una bobina inductora, al fluir el voltaje variable por el alambre se crean campos de flujo magnético variable que se expanden en forma de toroide por el espacio. esto es sonido electromagnetico en nuestro rango de escucha pero mueven atomos en el aire por lo que nuestro oido no los escucha debido a que acostumbrado solo campos sonoros El budismo tibetano con intereses primordiales en la presencia mística de las emanaciones de las energías sutiles, bajo una contemplación y meditación de la naturaleza de la realidad, llegó a entender los flujos de energías podrían ser inducidas por máquinas mántricas que construyeron para poder elevaran el potencial de las intenciones positivas . Bajo estos principios experimentales y de método científico se adelantó por muchos siglos a la comprensión de los sistemas de inducción de la física newtoniana. La ciencia actual aún no ha logrado desarrollar instrumentos que perciban o cuantifiquen estas energías. que esta comprendiendo desde teoría cuántica , ambos mapas territoriales de la realidad El Sistema de inducción mántrico satelital relaciona dos principios energéticos en un tercero, tanto las máquinas mántricas como las bobinas y máquinas electricas, utilizan fenomenos espirales para su funcionamiento en la emanación de energía, unas en la repetición del mantra escrito miles de veces enrollado en el cilindro y su rotación planetaria y la otra con el devanado del alambre de cobre aislado en forma de espiral y su movimiento rotatorio en presencia de magnetos. Ambos sistemas inducen y transforman la energía, uno la física y otro la mistica, al digitalizar la esencia del mantra y hacerlo circular como voltaje variable por la bobina en rotación planetaria, se emite un campo electromagnético con la intención de compasión del mantra. Se correlacionan estos dos principios separados artificialmente por el tiempo para volverse a unir en el presente de mayor apertura por parte de la academia a fenómenos reales , subjetivos y no cuantificables, la intencionalidad del deseo expresado en el mantra entra en un ciclo de emanación de campos electromagnéticos se nutre con el de la física , vinculando principios y fenómenos de estructuras cíclicas en las maquinas, y fenómenos teóricos científicos y empíricos sobre el flujo de la energía en el universo y la capacidad perceptiva de la naturaleza y el entrelazamiento de todo como un holos. Un Micro satélite orbitando al planeta tierra, con estos principios contenidos y en funcionamiento , se convierte en un vehículo presencial de inducción, el satélite transformando energía electro magnética con intencionalidades de compasión y expandiéndose como un toroide , seria una bobina primaria ,la tierra con su variedad de campos en especial la hidrosfera con sus posibilidades de magnetismo seria la bobina secundaria. Un Sistema de induccion mantrica satelital que parte de la particularidad de las frecuencias producidas y el funcionamiento comprobable del sistema , en intenciones positivas, emanadas a los seres de la tierra y del espacio, con un deseo de paz.
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OM MANI PADME HUM Una explicación del mantra de Avalokiteshvara, el Buda de la Compasión. Por S.S. el XIV Dalai Lama. Es muy bueno recitar el mantra Om Mani Padme Hum, pero mientras lo haces debes estar pensando en su significado, porque el significado de las seis sílabas es grande y vasto. La primera está compuesta por tres letras A, U, y M. Estas simbolizan el cuerpo, el habla y la mente impura del practicante; también simbolizan el cuerpo, el habla y la mente puros y exaltados de un buda. ¿Pueden el cuerpo, el habla y la mente impura transformarse en el cuerpo, el habla y la mente pura? ¿O están completamente separadas? En todos los casos, los budas fueron seres como nosotros y, entonces, gracias al camino se iluminaron. El budismo no afirma que alguien desde el principio estuviera libre de faltas y poseyera todas las buenas cualidades. La purificación del cuerpo, el habla y la mente llega a través del abandono gradual de los estados impuros y su transformación en lo puro. ¿Cómo se logra esto? El camino se indica en las siguientes cuatro sílabas. Mani significa joya y simboliza los factores del método: la intención altruista de iluminarse, la compasión, y el amor. Así como una joya es capaz de eliminar la pobreza, la mente altruista de la iluminación es capaz de eliminar la pobreza o las dificultades de la existencia cíclica y de la paz solitaria. De igual forma, así como una joya cumple los deseos de los seres sintientes, también la intención altruista de llegar a la iluminación satisface los deseos de los seres sintientes. Las dos sílabas, Padme, que significan loto, simbolizan la sabiduría. Así como un loto crece en el lodo sin ensuciarse con las faltas de éste, la sabiduría es capaz de ponerte en una situación sin contradicciones, donde de cualquier otra forma habría contradicción si no tuvieses sabiduría. Existe la sabiduría que comprende la impermanencia, la sabiduría que comprende que las personas están vacías de autosuficiencia o existencia sustancial, la sabiduría que comprende el vacío de la dualidad –esto es, la diferencia de entidades entre sujeto y objeto– y la sabiduría que comprende el vacío de la existencia inherente. Aunque hay diferentes tipos de sabiduría, la principal de todas estas es la sabiduría que comprende el vacío. La pureza debe lograrse mediante la unión indivisible entre el método y la sabiduría; dicha unión está simbolizada por la última sílaba, Hum, que indica indivisibilidad. De acuerdo con el sistema del sutra, esta indivisibilidad del método y la sabiduría se refiere a la sabiduría afectada por el método, y al método afectado por la sabiduría. En el vehículo del mantra, o tantra, se refiere a una conciencia donde existen en forma completa ambas, la sabiduría y el método como una entidad indiferenciable. En términos de las sílabas semilla de los Cinco Budas Conquistadores, Hum es la sílaba semilla de Akshobya, el inamovible, el no fluctuante, aquel que no puede ser perturbado por nada. Así, las seis sílabas, Om Mani Padme Hum, significan que a partir de la práctica de un camino, que es la unión indivisible del método y la sabiduría, puedes transformar tu cuerpo, tu habla y tu mente impuras en el cuerpo, el habla y la mente puras y exaltadas de un buda. Se dice que no debes buscar la budeidad fuera de ti, las sustancias para el logro de la budeidad están dentro de ti. Como dice Maitreya, en el Sublime Continuo del Gran Vehículo (Uttaratantra), todos los seres tienen intrínsecamente la naturaleza búdica en su continuo mental. Tenemos dentro de nosotros la semilla de la pureza, “la esencia de aquellos que han ido” (Tathaghatagarbha), que debe ser transformada y desarrollada completamente en la budeidad.
PLAY Festival http://playfestival.org.mx/ Fonoteca Nacional Mexico MUTEC Mexico Madrid
El Colectivo Espacial Mexicano es un grupo formado especialmente para generar una obra sonora que utilizará el satélite como un instrumento musical y una acción poética. |
* Sketch de arduino para reproducir archivos PCM
* Michael Smith <michael@hurts.ca>
#include <stdint.h>
#include <avr/interrupt.h>
#include <avr/io.h>
#include <avr/pgmspace.h>
#define SAMPLE_RATE 8000
#include "sounddata.h"
int ledPin = 13;
int speakerPin = 11;
volatile uint16_t sample;
byte lastSample;
// This is called at 8000 Hz to load the next sample.
ISR(TIMER1_COMPA_vect) {
if (sample >= sounddata_length) {
if (sample == sounddata_length + lastSample) {
startPlayback();
}
else {
// Ramp down to zero to reduce the click at the end of playback.
OCR2A = sounddata_length + lastSample - sample;
}
}
else {
OCR2A = pgm_read_byte(&sounddata_data[sample]);
}
++sample;
}
void startPlayback()
{
pinMode(speakerPin, OUTPUT);
// Set up Timer 2 to do pulse width modulation on the speaker
// pin.
// Use internal clock (datasheet p.160)
ASSR &= ~(_BV(EXCLK) | _BV(AS2));
// Set fast PWM mode (p.157)
TCCR2A |= _BV(WGM21) | _BV(WGM20);
TCCR2B &= ~_BV(WGM22);
// Do non-inverting PWM on pin OC2A (p.155)
// On the Arduino this is pin 11.
TCCR2A = (TCCR2A | _BV(COM2A1)) & ~_BV(COM2A0);
TCCR2A &= ~(_BV(COM2B1) | _BV(COM2B0));
// No prescaler (p.158)
TCCR2B = (TCCR2B & ~(_BV(CS12) | _BV(CS11))) | _BV(CS10);
// Set initial pulse width to the first sample.
OCR2A = pgm_read_byte(&sounddata_data[0]);
// Set up Timer 1 to send a sample every interrupt.
cli();
// Set CTC mode (Clear Timer on Compare Match) (p.133)
// Have to set OCR1A *after*, otherwise it gets reset to 0!
TCCR1B = (TCCR1B & ~_BV(WGM13)) | _BV(WGM12);
TCCR1A = TCCR1A & ~(_BV(WGM11) | _BV(WGM10));
// No prescaler (p.134)
TCCR1B = (TCCR1B & ~(_BV(CS12) | _BV(CS11))) | _BV(CS10);
// Set the compare register (OCR1A).
// OCR1A is a 16-bit register, so we have to do this with
// interrupts disabled to be safe.
OCR1A = F_CPU / SAMPLE_RATE; // 16e6 / 8000 = 2000
// Enable interrupt when TCNT1 == OCR1A (p.136)
TIMSK1 |= _BV(OCIE1A);
lastSample = pgm_read_byte(&sounddata_data[sounddata_length-1]);
sample = 0;
sei();
}
void stopPlayback()
{
// Disable playback per-sample interrupt.
TIMSK1 &= ~_BV(OCIE1A);
// Disable the per-sample timer completely.
TCCR1B &= ~_BV(CS10);
// Disable the PWM timer.
TCCR2B &= ~_BV(CS10);
digitalWrite(speakerPin, LOW);
}
void setup()
{
pinMode(ledPin, OUTPUT);
startPlayback();
}
void loop()
{
while (true);
}
Atmega32 sketch
/*
ATmega32 @ 8MHz
Plays an 8bit/8000 sample PCM audio on OC1A output
*/
#include <stdint.h>
#include <avr/io.h>
#include <avr/pgmspace.h>
#include "pcm_sample.h"
#include <avr/interrupt.h>
#define SAMPLE_RATE 8000;
volatile uint16_t sample;
int sample_count;
/* initialise the PWM */
void pwm_init(void)
{
/* use OC1A pin as output */
DDRD = _BV(PD5);
/*
* clear OC1A on compare match
* set OC1A at BOTTOM, non-inverting mode
* Fast PWM, 8bit
*/
TCCR1A = _BV(COM1A1) | _BV(WGM10);
/*
* Fast PWM, 8bit
* Prescaler: clk/1 = 8MHz
* PWM frequency = 8MHz / (255 + 1) = 31.25kHz
*/
TCCR1B = _BV(WGM12) | _BV(CS10);
/* set initial duty cycle to zero */
OCR1A = 0;
/* Setup Timer0 */
TCCR0|=(1<<CS00);
TCNT0=0;
TIMSK|=(1<<TOIE0);
sample_count = 4;
sei(); //Enable interrupts
}
ISR(TIMER0_OVF_vect)
{
sample_count--;
if (sample_count == 0)
{
sample_count = 4;
OCR1A = pgm_read_byte(&pcm_samples[sample++]);
if(sample>pcm_length)sample=0;
}
}
int main(void)
{
pwm_init();
while(1);//do nothing
}
oM MANI PADME HUM
sampleo del Mantra resguardado como un archivo wab de 8bits a 8000 sampleos por segundo
datos PCM , convertidos con el wav2c.exe
/* const int sounddata_sampleRate=8000; */
const int sounddata_length=19760;
const unsigned char sounddata_data[] PROGMEM ={
3,77,0,0,128,129,128,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,128,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,127,127,127,127,127,127,126,126,126,126,
127,127,127,128,128,129,130,130,130,131,131,131,131,131,131,131,131,131,131,131,131,131,131,131,131,130,130,129,129,128,127,126,126,125,125,124,123,122,121,121,120,121,121,122,123,125,127,130,132,134,137,138,138,138,136,135,133,131,131,131,131,132,133,133,133,133,133,132,132,133,133,133,132,129,127,124,121,119,117,116,115,115,114,113,111,111,114,119,127,136,145,151,153,151,145,138,130,125,123,122,
123,125,126,126,126,125,125,126,128,131,134,136,137,137,137,137,136,135,134,134,133,132,129,127,124,122,122,122,124,127,130,133,134,135,133,132,129,126,123,121,119,117,116,116,116,117,118,121,123,125,127,129,132,133,134,136,136,137,137,137,137,136,135,133,132,131,131,131,131,132,132,132,132,130,127,124,121,119,118,117,116,115,113,111,107,104,104,107,116,128,142,153,159,160,154,146,136,127,122,120,
122,124,127,128,127,124,122,121,123,126,130,134,138,140,141,142,141,140,139,137,135,132,129,125,122,120,119,120,122,125,129,133,136,138,138,137,134,130,126,122,116,112,109,106,104,103,103,106,110,118,129,141,152,158,160,157,149,140,130,124,121,122,123,126,127,127,125,122,122,122,126,131,138,144,149,152,152,151,147,143,138,132,126,120,114,109,105,104,103,104,106,106,107,108,111,116,125,137,150,160,
164,164,155,143,130,118,112,111,115,121,127,131,132,131,129,127,126,128,131,136,140,143,144,144,144,143,143,141,138,133,128,121,117,115,117,122,128,133,136,137,134,129,124,117,111,106,101,97,95,95,102,114,130,146,158,165,165,158,148,136,127,122,122,124,129,131,131,128,123,117,114,114,117,124,131,139,146,152,157,159,159,156,149,140,131,121,114,109,109,111,115,118,121,122,122,120,117,113,109,105,
102,103,107,118,132,145,156,160,158,149,139,126,119,116,119,125,133,138,139,136,130,124,119,117,119,123,129,135,141,146,151,153,154,152,149,142,134,125,119,115,114,116,121,123,125,124,122,118,114,109,104,99,95,95,100,112,128,145,159,167,167,159,147,133,122,116,116,121,128,133,135,133,127,121,116,113,116,121,129,137,145,150,156,158,159,157,153,146,137,127,118,113,111,113,117,122,125,126,125,121,
117,112,106,100,96,94,96,106,121,139,156,167,170,164,152,138,125,117,116,120,127,134,137,136,130,123,116,112,112,117,125,134,142,149,155,159,160,159,155,149,140,130,120,114,110,112,116,121,124,126,125,122,117,111,105,100,94,90,91,98,113,131,150,165,171,169,158,144,129,119,116,119,126,134,139,138,133,124,115,109,108,112,120,130,140,149,156,160,162,162,159,153,144,134,124,115,111,110,113,118,
122,124,124,122,117,112,107,101,95,90,89,94,106,124,145,163,174,175,166,152,136,122,116,116,122,130,137,139,135,127,117,108,105,107,115,126,138,148,155,161,164,165,162,156,149,138,127,117,110,109,111,116,122,125,125,124,120,114,109,103,97,90,86,87,95,112,134,155,171,178,174,161,145,128,118,115,120,128,136,141,139,131,119,109,103,103,109,120,133,145,155,163,167,168,167,162,155,144,131,120,
111,108,108,113,117,121,123,123,120,116,110,104,98,92,87,85,90,104,125,148,168,178,179,169,152,135,121,115,118,126,135,142,142,137,125,113,103,100,104,114,127,141,152,161,167,170,170,166,159,149,136,124,113,107,107,111,115,120,122,122,120,116,111,106,101,95,88,83,84,94,112,136,159,176,182,177,163,144,127,116,116,122,132,141,144,140,130,117,105,98,98,106,119,134,148,159,167,172,173,171,
165,157,144,130,117,109,105,108,112,117,120,121,120,117,113,109,103,98,92,85,81,85,98,121,145,168,183,184,175,156,137,121,115,118,128,138,146,145,137,124,110,98,94,99,111,126,142,155,165,172,176,174,171,163,151,137,123,113,106,106,110,114,119,120,120,117,113,109,105,99,93,87,79,79,89,109,136,160,181,187,181,165,143,125,114,115,123,135,145,148,142,130,114,100,93,94,105,120,136,152,
163,171,176,178,175,169,158,143,128,115,107,104,107,112,117,119,119,117,112,108,104,99,96,91,85,82,88,105,128,153,174,184,181,169,149,129,116,114,121,132,142,148,145,134,119,104,95,94,101,116,131,147,159,167,173,175,175,172,163,150,135,122,112,107,108,112,117,120,121,118,114,109,104,99,94,89,83,77,79,93,117,145,169,187,189,179,161,138,122,114,118,129,141,148,147,137,123,107,94,91,
96,110,127,144,159,167,174,177,178,175,168,156,141,124,113,106,105,110,115,120,121,120,116,110,105,100,95,91,85,79,78,88,109,136,162,182,189,180,165,143,125,115,116,126,138,147,149,141,126,110,95,89,92,103,121,138,155,165,172,177,180,178,172,161,146,129,115,107,105,110,115,121,123,122,117,109,102,96,92,87,84,79,79,88,107,133,158,179,188,182,168,147,129,118,118,125,137,146,148,142,
127,111,96,90,92,103,120,137,154,166,173,177,179,178,175,164,148,133,116,107,103,106,113,119,123,122,117,109,101,96,92,90,86,83,80,87,103,125,151,171,183,181,169,152,132,121,118,124,135,144,147,143,129,115,101,92,92,100,116,133,149,161,169,174,175,176,174,166,152,136,122,110,107,108,113,120,125,125,121,112,105,97,91,87,83,80,79,84,98,119,145,166,180,183,173,158,140,126,122,126,
134,142,146,142,131,116,102,91,90,97,111,129,146,161,171,176,177,176,172,165,153,140,128,116,111,110,114,119,123,125,122,118,110,103,96,91,86,80,77,77,88,108,133,158,176,185,179,165,148,132,124,126,133,143,148,146,136,120,103,90,85,89,102,120,139,155,167,174,178,180,178,171,159,144,129,116,109,108,111,117,123,124,122,116,109,102,97,93,89,85,82,80,86,102,126,151,171,182,179,167,
150,133,124,123,130,142,149,150,143,127,109,94,85,87,98,116,136,153,166,174,176,175,173,169,161,150,137,125,115,112,112,115,120,123,123,119,113,105,100,94,89,85,79,77,81,97,121,147,168,182,184,173,157,139,127,123,129,138,146,149,143,129,112,95,85,84,94,111,130,148,163,172,177,177,175,171,163,152,138,126,116,111,111,114,119,122,123,120,114,107,100,95,90,86,82,79,81,94,115,140,
163,178,182,174,159,142,129,124,128,137,146,150,146,134,116,99,87,84,91,107,127,146,162,172,176,177,177,173,165,153,141,127,117,112,111,114,117,121,120,117,111,105,99,95,92,87,83,80,82,95,116,142,164,180,183,174,158,141,128,123,127,137,146,150,146,133,116,98,86,83,91,107,127,146,161,171,176,177,175,171,163,152,140,127,117,113,112,115,119,121,120,116,110,103,97,92,89,86,82,81,
86,100,121,146,166,179,181,171,156,139,127,123,128,138,146,149,144,131,114,99,89,87,96,112,132,150,164,172,176,176,174,170,162,150,137,125,116,112,112,116,120,122,120,114,107,100,94,90,86,83,81,81,90,107,131,154,172,182,180,168,151,136,126,125,131,140,146,146,139,125,109,95,88,91,102,119,137,154,166,173,176,176,172,165,156,143,131,120,114,112,115,118,121,121,117,112,105,99,94,90,
86,83,80,83,94,114,139,161,177,182,175,161,144,131,125,127,136,144,149,146,134,118,102,90,87,93,108,127,146,161,170,175,176,174,171,164,154,141,129,119,114,113,116,119,121,120,116,109,102,96,91,87,83,80,80,87,103,126,150,169,179,179,168,153,137,127,125,130,139,146,148,141,127,111,96,88,90,101,118,137,154,166,173,174,174,172,168,159,147,135,124,116,113,115,118,122,122,119,113,105,
99,93,89,86,82,80,82,93,112,135,157,173,179,174,161,145,131,125,127,134,143,148,146,135,120,104,92,88,95,108,127,144,159,168,172,173,172,169,163,154,144,132,122,116,114,116,119,122,121,117,111,104,97,92,88,84,80,79,85,99,121,145,165,178,179,171,156,140,129,125,130,138,145,147,141,128,112,97,89,89,99,115,133,149,162,169,173,174,173,168,160,149,137,126,118,114,115,119,122,124,
121,116,109,103,98,94,91,87,83,82,87,102,124,147,165,176,175,165,151,136,128,127,132,141,147,146,139,125,108,95,88,91,101,119,136,152,163,169,172,172,170,166,159,149,138,127,119,116,116,119,121,122,119,113,108,101,96,92,89,84,81,81,89,105,128,150,167,176,174,163,149,135,128,128,134,142,147,145,136,121,106,93,87,93,104,122,139,154,165,170,173,174,172,167,157,145,133,123,116,114,
116,119,121,121,118,112,106,101,96,93,90,87,84,85,94,111,133,153,169,176,171,160,147,134,129,130,137,144,147,145,134,119,103,92,88,94,107,124,141,155,165,170,172,173,169,164,154,143,132,123,117,116,117,120,121,119,115,109,104,99,96,92,89,86,84,87,98,118,141,160,173,176,168,156,142,131,128,130,138,144,146,141,129,113,98,90,89,98,113,130,146,159,167,172,174,173,169,162,152,139,
129,120,116,116,118,121,121,118,113,108,102,97,94,91,88,85,84,89,103,124,146,163,175,175,166,153,140,131,129,134,141,146,145,138,124,109,96,90,92,103,119,136,151,161,167,171,172,170,167,159,149,136,126,118,115,116,118,120,120,117,111,105,99,95,92,89,86,84,85,93,110,132,153,169,177,173,163,150,137,130,130,136,142,146,143,133,119,104,94,90,96,108,125,141,155,165,170,173,173,171,
165,155,144,132,122,116,115,117,120,121,119,114,109,103,98,94,91,89,86,84,89,99,119,140,159,172,175,169,157,144,134,130,132,139,144,145,139,127,112,99,92,92,100,114,131,147,159,166,171,173,172,169,162,152,140,128,120,116,115,118,121,120,117,112,106,101,97,93,91,89,86,86,91,105,125,146,162,173,172,164,153,140,133,132,136,142,145,143,135,122,107,96,91,95,105,120,137,150,160,167,
172,176,174,168,159,147,135,124,118,115,116,118,120,118,113,108,103,99,96,94,91,89,87,88,96,112,132,152,166,173,169,159,148,137,132,134,139,144,146,141,130,116,103,95,93,99,112,128,142,154,162,167,170,172,170,165,156,145,134,124,118,116,116,118,118,116,111,106,101,97,94,91,89,87,85,89,102,120,141,158,170,173,167,156,145,137,134,136,141,144,142,135,123,110,98,93,95,104,118,132,
145,156,164,170,174,174,169,161,150,139,129,121,118,116,118,118,117,112,107,104,101,98,96,94,91,88,87,92,106,124,144,159,169,168,162,151,141,136,134,138,143,144,141,131,119,106,97,94,99,108,122,135,147,156,164,170,173,173,169,161,149,138,128,121,118,117,118,116,114,109,104,101,98,95,93,92,90,89,89,98,115,134,151,164,170,167,160,149,141,136,136,140,142,141,136,125,114,103,97,97,
104,114,128,140,150,159,165,169,171,171,166,158,147,136,126,120,117,116,117,116,114,110,105,102,99,97,95,92,90,88,89,98,114,133,149,163,168,166,160,151,143,138,138,141,142,140,134,124,112,103,97,98,103,114,127,138,149,158,166,172,174,173,167,158,147,137,127,120,116,115,114,112,110,105,103,100,98,96,94,92,90,89,92,104,121,139,155,166,169,166,159,149,143,138,138,141,140,137,130,121,
110,103,100,102,108,118,130,141,150,157,164,170,173,173,167,158,147,136,127,120,116,114,113,112,109,106,103,101,98,95,93,91,90,89,93,105,122,139,155,165,169,166,160,152,145,140,139,140,138,134,126,118,108,102,100,102,109,119,130,140,149,157,164,170,174,174,168,159,148,137,127,120,116,113,110,108,105,102,100,98,96,94,93,91,90,91,98,113,130,145,159,167,168,165,159,151,145,140,138,136,
133,128,120,113,106,103,102,106,114,123,132,141,149,157,165,171,175,172,165,157,146,135,126,119,115,111,108,105,101,99,98,96,94,93,92,91,91,95,107,122,137,151,163,167,168,164,158,151,145,141,138,133,128,121,115,108,104,103,106,112,119,127,135,143,150,158,165,170,172,169,163,154,144,134,125,118,113,107,103,100,97,96,95,94,93,93,93,92,95,103,117,130,144,156,163,166,165,162,156,151,
146,142,137,131,124,117,110,105,104,105,110,116,124,130,137,144,152,160,166,170,169,165,159,152,142,133,125,118,111,106,101,97,96,95,95,94,94,94,95,95,101,112,124,136,147,156,161,163,163,161,157,153,150,144,137,131,122,116,110,107,106,108,113,118,124,130,137,144,152,158,163,164,163,160,155,148,141,133,127,120,114,108,103,100,98,96,94,92,92,91,92,96,105,117,127,138,145,151,156,158,
159,158,156,155,151,146,140,133,127,121,118,116,115,117,119,122,124,128,132,136,141,146,148,149,150,150,148,147,144,142,136,131,125,118,112,106,100,94,89,85,83,82,85,93,100,109,119,128,138,145,152,158,161,164,166,165,162,158,151,146,139,133,127,122,119,116,114,113,114,117,121,126,130,136,139,145,148,152,152,153,150,145,140,132,124,115,107,98,91,84,79,77,79,85,91,101,110,121,131,140,
149,156,162,167,169,169,168,164,159,152,145,138,131,126,121,116,113,111,112,114,117,121,126,131,135,141,145,149,150,151,150,146,140,134,126,118,109,100,92,85,80,78,81,86,91,101,110,120,131,140,149,155,161,166,168,169,167,163,158,151,144,138,131,126,121,117,115,113,114,116,118,122,127,132,137,141,145,149,150,151,148,144,139,133,126,117,108,99,92,86,81,79,84,88,95,104,112,122,131,140,
149,155,160,165,167,168,165,161,156,149,143,136,130,126,121,117,114,114,115,117,121,125,129,134,138,142,146,148,150,150,148,144,138,132,125,116,107,99,92,86,81,81,85,89,96,104,112,123,132,141,149,155,160,165,166,166,163,159,154,147,141,135,129,125,120,117,114,113,114,117,122,125,129,133,138,142,146,148,150,150,147,144,138,132,124,116,107,99,92,86,82,82,86,91,97,105,114,124,132,141,
148,154,159,163,165,165,162,158,153,147,141,134,129,125,120,117,114,113,114,118,121,125,129,133,138,142,145,148,149,149,146,142,136,130,123,115,107,99,92,86,83,84,88,93,99,108,116,126,134,142,149,154,159,163,164,164,161,156,152,144,138,132,127,123,119,116,113,112,114,118,123,127,129,134,138,144,147,148,149,149,146,142,136,129,122,114,107,99,92,87,84,87,91,95,101,110,118,128,136,143,
150,154,160,163,163,163,160,155,150,144,138,131,127,123,119,116,114,113,115,120,124,127,131,135,140,144,147,148,149,148,145,141,134,128,121,113,105,98,92,87,84,87,92,95,102,111,119,129,137,144,150,155,160,163,163,162,159,156,150,143,137,131,126,122,118,115,113,113,116,120,123,128,131,135,141,144,147,148,148,148,144,140,134,128,121,113,106,99,93,89,86,88,93,97,104,112,120,130,138,145,
151,155,160,163,163,163,160,155,150,143,138,131,126,122,118,116,114,113,116,120,124,128,131,135,140,144,146,148,148,147,144,140,134,128,121,113,107,100,94,90,86,87,92,97,102,111,118,128,136,143,150,154,159,162,163,162,159,155,150,143,137,131,125,122,118,116,114,113,115,119,123,127,131,135,139,143,145,147,148,147,144,140,135,129,123,115,108,102,96,91,87,86,90,96,101,109,116,126,134,141,
148,153,157,161,163,162,160,156,151,145,138,133,127,123,120,117,115,114,115,118,123,127,130,134,138,143,145,147,148,148,146,141,136,130,123,116,109,102,96,91,88,86,89,95,99,107,115,123,132,139,146,151,155,159,162,161,160,156,151,146,140,134,128,124,120,117,115,115,116,119,122,126,130,134,138,141,144,147,147,147,145,140,135,129,123,117,109,103,98,93,89,87,89,95,100,107,115,122,131,138,
145,151,154,158,161,161,160,156,152,147,140,134,128,124,121,117,115,114,115,119,123,125,130,134,138,142,145,147,147,147,145,141,136,130,124,118,110,104,98,94,90,88,90,96,100,107,115,122,131,138,144,150,154,157,160,160,159,155,150,146,139,133,128,123,121,117,115,114,114,118,123,126,129,134,137,143,145,147,148,147,147,143,137,132,126,120,113,106,100,95,91,89,89,94,99,105,114,121,130,138,
143,150,154,158,161,161,159,156,151,146,140,134,129,123,120,117,115,114,115,118,121,125,129,133,137,141,144,146,148,148,147,144,138,133,128,121,114,107,102,97,93,89,89,94,100,105,114,121,129,137,143,150,153,157,160,160,159,156,151,147,141,134,129,124,121,118,115,114,113,115,120,124,128,132,135,140,144,147,148,149,147,145,140,136,130,123,116,109,103,98,93,90,90,94,99,104,112,120,128,136,
142,149,153,156,160,161,160,158,153,148,143,136,131,125,122,119,115,114,114,115,118,122,126,130,133,137,141,144,146,146,146,144,139,134,128,123,116,109,103,99,94,91,90,93,99,104,111,118,126,134,141,147,152,155,158,160,159,157,153,148,143,136,132,126,122,119,116,114,113,114,117,121,126,130,133,137,141,145,146,147,147,145,141,136,131,124,118,111,105,99,94,91,90,92,97,102,108,116,124,132,
139,145,151,155,159,161,160,159,155,150,145,139,133,128,123,120,117,115,114,114,117,122,126,129,132,137,141,145,147,148,148,146,143,139,132,127,120,113,107,101,96,92,90,91,95,100,105,113,120,129,136,142,148,153,157,160,160,158,156,151,146,140,134,129,124,120,118,115,114,115,116,120,124,128,132,135,139,143,145,147,148,147,144,140,135,129,123,116,110,104,99,94,91,90,93,99,103,110,117,125,
133,140,146,151,155,158,160,159,157,153,148,143,137,132,127,123,120,117,115,115,116,120,124,127,131,134,138,142,145,147,148,148,146,142,136,131,126,119,112,106,101,97,93,91,92,97,102,108,115,122,130,137,143,149,153,155,158,158,156,153,148,143,138,132,127,123,120,118,116,115,115,116,121,126,130,133,137,141,145,147,149,149,147,144,140,134,128,122,116,110,103,99,95,92,92,96,100,105,112,119,
127,134,141,146,151,154,157,158,156,154,149,145,140,134,129,125,121,119,116,114,114,115,119,123,127,131,134,139,143,146,148,148,147,146,142,136,131,125,119,113,107,101,97,94,93,95,100,104,110,118,125,132,139,145,150,153,156,157,156,154,150,146,140,135,130,126,122,119,116,114,114,114,116,120,125,129,133,137,141,144,147,148,148,146,143,139,133,127,121,115,109,103,99,95,93,96,100,104,109,116,
123,131,137,143,149,152,155,157,157,155,152,147,142,137,132,127,123,120,117,115,114,114,117,120,123,127,131,135,139,143,146,147,147,147,144,139,134,129,123,118,111,106,101,97,94,96,99,103,108,114,121,128,135,141,147,151,154,156,156,155,152,148,143,138,133,129,124,121,119,116,115,115,116,119,123,126,130,134,137,141,144,146,146,145,143,140,135,130,125,118,112,106,101,97,95,96,99,103,108,114,
121,128,134,141,146,150,153,155,156,154,151,147,143,138,134,129,125,122,120,117,116,116,118,121,124,127,131,134,137,141,143,145,146,145,143,139,134,130,124,118,112,106,101,98,96,98,100,104,110,116,122,129,135,141,146,150,153,154,155,153,150,146,141,137,132,129,125,122,119,117,117,117,119,122,125,128,131,134,138,141,143,145,145,144,142,138,133,128,123,117,111,105,100,97,96,99,102,106,112,117,
124,131,137,142,147,150,153,154,153,151,148,144,139,135,131,127,124,121,118,117,117,118,121,123,127,129,133,137,140,142,145,145,145,143,140,136,131,127,120,114,108,103,99,97,98,100,104,109,114,120,126,133,139,144,148,152,153,153,152,149,146,142,137,132,129,125,123,120,118,117,117,119,121,124,128,131,134,138,141,143,145,145,145,142,139,134,129,124,118,112,106,102,98,98,99,102,106,111,117,123,
130,136,142,146,150,153,153,152,150,147,143,139,134,130,126,124,121,118,116,116,118,120,123,126,129,133,136,139,142,144,145,145,144,140,136,132,127,121,115,109,104,100,98,99,101,104,108,114,121,127,133,139,144,148,152,153,152,151,148,145,141,136,131,128,125,122,119,117,116,117,119,122,124,127,131,134,138,141,143,145,145,145,142,139,134,130,124,119,113,107,102,99,99,101,104,108,113,119,125,132,
138,143,147,151,153,153,151,149,146,142,138,133,129,126,123,120,118,117,117,119,121,123,126,129,133,136,139,142,144,144,144,142,139,135,131,126,120,114,108,103,100,99,101,104,107,111,117,124,130,136,142,147,150,152,152,151,149,146,143,138,133,129,126,123,120,118,117,116,118,120,122,125,128,131,135,138,141,143,144,144,142,139,136,132,127,121,116,110,105,101,100,101,103,106,110,116,123,129,135,141,
145,148,151,152,152,150,147,143,139,135,131,127,124,121,120,118,117,118,120,122,125,128,131,135,138,140,143,144,144,143,140,137,132,127,122,117,111,106,102,100,101,103,106,110,115,121,127,134,139,144,148,151,151,151,149,147,144,139,135,131,128,125,122,119,118,117,118,120,122,124,127,130,133,136,139,142,143,143,141,139,136,131,127,122,117,111,106,102,100,101,103,106,110,115,122,127,134,139,144,148,
151,151,151,149,146,143,139,135,132,127,125,122,120,118,118,119,121,123,125,128,131,134,138,140,142,143,143,142,139,136,131,126,122,117,111,106,102,101,102,104,107,111,116,122,128,134,140,144,148,151,151,150,149,146,143,139,135,130,127,124,122,120,118,118,119,121,124,126,129,132,135,138,140,142,143,143,142,139,135,130,126,121,115,110,105,101,100,102,104,107,112,117,123,129,136,141,145,148,150,151,
150,148,145,141,138,133,129,126,124,121,119,118,118,120,122,124,126,129,133,137,139,141,143,143,143,141,138,134,129,125,120,114,109,104,102,103,104,107,111,116,120,127,133,139,143,147,150,151,150,148,146,143,139,135,131,127,124,122,120,118,118,119,121,123,126,129,131,134,137,140,142,142,143,141,139,136,131,127,122,117,111,107,103,101,103,106,108,112,118,124,130,136,141,145,149,150,151,150,147,145,
141,137,133,129,126,123,120,118,117,117,119,121,123,127,129,131,135,138,140,141,142,142,140,137,133,129,124,119,114,109,105,102,102,104,107,110,115,121,127,134,140,144,148,150,152,151,149,146,143,139,135,131,128,125,122,120,118,118,118,120,122,125,128,131,133,136,139,141,141,142,141,138,135,131,126,122,117,112,106,102,101,102,104,107,111,117,123,130,136,141,145,149,151,152,151,148,145,142,138,134,
130,127,124,121,119,118,118,120,121,124,127,129,132,135,138,140,142,142,142,140,138,134,130,125,120,115,109,105,101,101,103,106,109,113,119,126,132,138,143,147,150,152,152,150,147,144,141,137,133,128,125,123,121,119,119,119,121,123,126,128,130,133,137,139,141,142,142,142,140,136,132,127,123,118,113,107,103,100,101,103,106,109,114,120,127,133,139,144,147,150,151,150,148,146,143,139,135,131,127,124,
122,120,119,118,119,121,123,126,129,131,134,138,140,142,143,143,141,139,136,132,127,122,117,112,107,103,101,101,103,106,110,116,121,128,134,140,144,148,150,151,150,148,146,143,138,134,130,126,123,121,119,118,118,119,121,123,126,129,131,134,138,140,142,143,143,142,140,136,132,127,123,118,113,107,103,101,102,104,107,110,115,122,128,134,140,144,147,150,151,150,148,145,142,137,133,129,126,123,121,119,
118,117,118,120,122,126,128,131,135,138,140,142,143,143,142,139,136,132,127,122,117,112,107,103,100,101,104,106,111,116,122,128,134,140,145,148,151,152,150,148,146,142,138,134,129,125,122,120,119,117,117,118,120,123,126,129,132,135,138,141,142,143,143,141,139,136,132,127,122,118,112,108,104,101,101,104,107,111,116,121,127,134,140,145,149,151,153,152,150,147,144,139,135,131,127,123,121,118,117,117,
118,120,122,125,129,131,134,138,140,142,143,143,142,140,137,133,128,123,118,113,108,104,100,100,102,105,108,113,119,126,132,139,144,148,151,153,153,152,149,145,141,137,133,128,124,121,119,118,116,116,118,121,124,127,130,133,136,140,142,143,143,143,141,139,135,130,125,120,116,111,106,102,100,99,102,106,109,115,121,128,134,141,146,149,152,154,153,151,148,144,140,135,131,127,123,120,118,117,116,117,
119,122,125,128,132,135,138,141,143,144,144,143,141,138,134,130,125,120,115,110,106,102,100,100,103,107,111,116,123,129,135,141,146,150,153,154,153,150,147,143,139,134,130,125,122,120,118,117,115,115,118,123,127,132,136,139,143,146,148,148,147,144,140,134,128,122,116,110,106,101,97,94,93,96,104,114,124,132,140,146,150,153,154,154,153,151,146,139,131,123,117,112,109,109,109,112,115,120,126,134,
142,150,155,157,157,154,149,144,138,133,129,124,118,113,110,107,105,104,105,107,109,111,111,112,118,129,141,149,153,151,145,138,134,132,133,135,136,132,126,119,114,112,113,117,121,124,128,133,137,143,148,152,153,150,145,140,135,131,130,129,127,125,122,120,120,119,119,120,119,119,119,118,116,114,110,109,115,125,134,140,142,139,134,130,132,136,141,145,144,138,130,122,117,115,115,117,119,121,124,129,
135,141,147,149,148,146,143,141,139,136,134,131,126,123,120,118,118,118,118,117,117,118,119,119,117,115,111,110,117,129,139,144,143,137,129,125,128,134,141,146,144,137,127,120,116,116,118,120,122,123,127,132,139,145,148,147,143,139,137,138,140,139,135,130,124,121,121,122,123,123,123,121,119,118,118,118,116,112,106,104,110,124,137,144,143,137,128,124,129,137,146,151,149,140,128,120,115,115,117,118,
118,120,124,131,139,145,147,146,142,139,140,143,145,142,137,129,123,120,121,122,123,123,122,120,119,119,120,120,118,115,110,105,105,115,130,141,145,140,131,124,123,132,143,150,152,146,135,125,119,117,117,117,116,117,120,127,136,142,145,144,142,139,140,144,147,146,141,133,126,121,122,123,124,124,123,121,121,120,121,120,119,117,114,110,106,104,110,124,136,141,139,132,126,126,133,144,151,153,148,138,
127,120,117,115,114,114,115,119,126,134,140,143,142,140,140,143,147,149,147,141,133,126,122,122,123,124,125,124,122,121,121,121,121,121,121,119,115,110,104,101,106,121,136,144,141,133,126,125,134,146,153,154,148,136,125,119,116,115,113,112,114,118,127,137,143,144,142,140,141,144,147,151,149,143,133,124,119,119,122,125,127,126,125,124,124,124,124,124,124,123,120,114,107,99,96,101,118,135,144,143,
135,129,129,137,150,156,155,149,138,128,121,118,114,111,108,110,117,128,138,144,144,141,140,142,146,150,151,147,138,129,123,119,119,121,122,124,125,127,129,129,127,126,124,125,125,124,119,111,102,94,91,97,115,134,145,145,138,132,132,139,150,156,155,148,137,128,121,117,112,107,105,109,117,129,140,145,145,143,142,144,148,150,149,144,138,132,127,123,119,118,120,124,129,134,136,133,130,126,125,126,
128,128,125,117,106,97,92,90,97,113,132,145,148,143,137,135,138,146,152,152,148,139,130,122,116,110,105,103,108,116,128,140,146,147,144,142,141,144,146,145,141,136,131,127,123,120,118,118,123,131,137,140,140,136,132,129,128,128,128,125,120,113,105,98,93,90,92,102,121,141,153,153,146,138,134,138,147,151,149,143,133,124,117,111,106,103,104,112,124,137,146,148,146,143,141,142,145,146,143,137,
130,127,125,123,121,121,122,128,135,142,145,142,138,133,130,128,128,127,124,118,111,105,101,98,96,95,98,106,125,145,155,154,144,134,131,136,144,148,144,137,129,122,117,113,108,105,108,116,129,140,146,147,143,140,140,142,145,144,140,135,130,127,126,125,123,123,124,130,137,142,143,140,137,133,132,131,129,126,122,118,114,110,106,102,99,97,98,103,115,134,148,151,147,137,133,133,138,143,142,138,
134,128,123,117,111,106,107,113,124,135,142,145,144,143,144,145,145,144,141,137,135,132,128,125,122,121,124,129,135,138,140,140,138,137,136,135,132,128,124,121,118,114,109,105,101,99,98,98,102,112,127,141,148,146,140,135,135,138,142,142,138,134,130,126,120,113,108,107,112,122,132,138,142,142,143,144,145,144,142,140,138,136,132,127,124,122,123,126,129,133,136,138,140,140,139,137,135,133,130,126,
122,118,114,110,106,102,100,99,100,102,109,120,133,143,145,143,139,138,139,141,141,138,136,133,129,124,117,111,109,111,118,126,132,137,141,143,145,145,143,141,140,139,137,134,129,124,122,123,125,127,129,133,135,138,139,139,137,136,134,132,128,124,120,117,113,110,106,104,103,101,101,103,109,121,133,141,144,143,141,141,141,141,139,137,136,134,131,125,118,113,111,114,119,124,130,136,142,145,147,145,
143,142,142,142,139,134,130,127,126,126,125,125,127,131,134,137,138,138,137,136,134,131,127,124,121,119,115,111,107,105,103,101,101,102,110,120,131,139,141,142,142,143,144,141,140,138,137,135,130,124,118,113,112,113,116,121,127,133,139,143,146,146,145,145,144,142,139,135,132,128,127,125,124,124,126,128,131,133,135,137,138,138,137,134,130,127,125,121,117,113,109,107,104,102,100,101,107,115,124,131,
136,140,144,146,147,147,145,143,141,137,132,126,121,118,115,114,115,117,121,126,131,135,139,142,145,146,146,145,143,140,137,134,131,128,127,126,125,125,126,127,129,130,131,132,133,133,132,131,129,127,124,121,118,115,112,109,106,105,104,106,109,113,117,122,129,136,142,147,149,151,151,150,147,142,136,132,128,124,121,118,117,117,118,119,121,124,127,131,136,138,141,144,146,146,146,145,143,141,138,136,
132,130,127,125,124,123,122,121,121,121,121,121,121,121,120,120,119,116,114,112,111,111,113,115,118,123,130,135,140,144,146,148,148,146,142,138,135,132,129,126,123,122,121,121,121,121,122,125,127,130,132,135,138,140,141,142,142,141,141,139,138,135,133,131,129,127,126,124,123,123,123,122,121,121,120,119,118,118,116,114,112,110,110,111,113,116,119,124,131,136,141,145,147,148,148,146,143,139,135,132,
130,126,123,122,121,121,121,121,123,124,127,130,133,135,138,141,142,143,143,142,141,140,138,135,133,131,129,127,126,124,122,121,121,120,120,119,119,118,118,116,115,114,112,110,111,112,114,117,122,127,133,139,143,145,147,148,146,144,141,137,133,131,128,124,123,121,120,119,119,120,122,124,127,130,134,137,140,142,144,145,146,145,144,141,139,136,134,131,128,125,123,121,119,118,118,118,117,118,118,118,
117,116,115,114,112,112,113,115,118,122,128,133,139,144,146,148,148,146,143,141,138,134,130,128,125,122,121,120,119,119,120,121,123,126,130,134,138,141,143,145,146,147,146,144,142,139,136,133,130,127,124,122,120,118,117,117,116,116,116,116,117,116,115,114,113,112,112,114,115,118,124,129,135,140,144,146,148,147,145,142,140,136,133,130,127,125,123,121,120,120,120,121,123,125,128,131,135,138,141,144,
146,146,146,145,143,141,139,135,132,130,127,124,121,119,118,117,116,116,116,116,116,116,116,115,113,112,112,112,114,117,121,127,133,138,142,145,147,148,146,144,141,138,135,132,129,126,124,122,121,120,120,120,122,123,126,130,133,137,140,143,146,147,147,147,145,143,141,137,134,131,127,125,122,119,117,116,115,115,115,115,115,115,115,115,113,112,111,112,114,116,120,126,131,137,142,145,147,148,147,145,
141,138,135,131,129,126,124,122,121,120,120,120,121,123,126,129,133,136,140,143,145,147,147,147,146,144,141,138,135,131,128,125,122,119,117,116,115,114,114,114,114,115,115,114,113,112,111,112,113,116,120,127,132,139,143,147,149,149,148,145,142,138,135,131,128,126,124,122,121,120,120,120,122,123,126,129,133,137,140,144,146,147,148,148,147,145,142,139,135,131,128,124,121,119,117,115,114,113,113,114,
114,114,114,113,112,111,110,111,113,116,121,127,133,138,144,147,149,150,148,145,141,137,134,130,127,125,123,121,120,120,120,121,122,124,127,130,134,137,141,144,146,148,148,148,146,144,141,138,134,131,127,124,121,118,116,115,114,114,114,114,115,115,114,113,112,111,111,113,114,117,122,128,133,139,143,147,149,149,147,144,141,137,133,129,127,124,122,121,120,120,121,123,125,127,130,134,136,139,143,145,
146,146,146,145,143,141,137,134,132,129,125,122,120,118,117,116,116,116,116,116,115,114,113,111,109,106,106,112,113,118,127,134,141,143,151,153,155,152,150,145,141,133,125,122,118,112,110,110,113,116,120,125,132,138,144,148,152,154,155,153,151,148,143,138,133,129,124,120,117,117,115,115,116,117,119,120,122,124,123,120,117,114,109,105,105,110,112,114,120,128,134,136,141,148,149,149,148,148,144,138,
132,128,123,119,114,113,115,116,119,124,130,135,139,144,148,150,152,151,151,149,145,141,136,133,128,125,123,121,119,118,118,119,119,120,122,123,123,121,120,116,112,107,103,102,108,109,112,119,126,133,136,141,149,150,150,149,150,146,139,134,129,124,119,113,113,114,114,118,123,129,134,139,145,149,151,152,153,152,149,145,142,137,133,128,125,123,120,119,119,119,120,121,122,123,124,125,124,122,118,114,
110,105,100,100,106,109,112,120,128,134,137,143,150,152,152,151,151,146,139,134,128,123,117,113,112,113,114,118,124,129,135,141,147,151,153,154,154,152,149,145,140,135,130,125,122,119,117,116,117,118,118,119,122,124,124,125,123,120,116,113,108,102,99,104,109,109,117,125,132,136,140,149,152,151,151,151,149,141,135,131,124,118,114,112,113,112,116,123,128,134,140,146,151,153,155,156,153,151,147,143,
138,132,128,123,121,119,117,118,118,119,121,122,125,126,125,125,123,119,115,110,104,98,97,105,107,109,119,128,134,137,145,153,152,153,154,153,147,140,136,130,120,116,112,111,110,111,118,124,128,135,143,148,151,154,158,156,152,150,146,140,134,130,126,122,119,118,118,117,117,120,122,122,124,126,127,125,123,119,114,110,103,98,95,102,106,107,117,126,132,138,143,152,153,152,154,152,148,140,135,130,
120,116,113,110,110,111,117,123,128,136,143,148,152,155,157,156,153,151,146,140,134,130,126,121,119,118,117,117,119,120,123,124,126,128,127,127,124,120,116,110,104,99,95,101,106,107,117,126,132,138,143,152,153,152,154,153,149,141,136,131,121,116,113,110,110,111,116,123,127,136,143,148,153,155,158,157,153,151,146,140,134,130,126,121,118,118,117,117,118,120,122,124,126,128,128,127,124,120,117,111,
104,99,96,97,105,106,113,125,130,137,143,150,155,153,154,154,150,143,136,131,123,116,114,109,108,110,113,121,126,132,141,147,152,155,159,159,155,152,148,143,136,131,128,122,118,118,117,117,117,120,122,123,126,128,129,128,126,123,119,113,107,102,96,97,106,106,112,125,130,137,141,149,155,152,154,154,150,144,136,133,124,116,114,110,109,110,112,120,125,131,140,146,151,154,157,158,154,151,148,142,
136,131,127,123,119,119,118,117,118,120,122,123,125,128,128,127,126,121,118,113,106,101,95,94,104,105,109,122,129,136,141,148,155,153,153,154,150,144,136,132,125,116,114,111,109,109,111,119,125,130,139,146,150,154,157,158,155,151,149,143,136,131,127,123,119,119,119,118,119,121,123,125,126,128,130,129,127,125,121,115,109,104,98,92,97,106,106,113,127,133,139,144,152,156,152,153,153,147,140,133,
129,121,113,112,109,108,109,113,122,126,133,144,149,153,157,159,158,154,150,147,140,133,129,126,121,118,118,118,118,120,121,124,125,127,129,129,128,126,122,118,112,106,101,95,95,104,106,110,123,131,137,142,150,156,154,154,155,150,144,137,133,125,116,115,111,109,110,112,119,125,130,140,147,151,156,158,159,156,152,149,142,136,131,127,123,119,119,119,118,120,121,123,125,126,129,130,128,126,123,119,
113,109,103,97,93,98,106,106,114,128,134,139,145,152,155,152,154,153,146,139,133,129,121,114,113,110,109,111,115,123,128,135,145,149,153,157,159,158,153,151,146,139,133,128,125,121,119,119,118,118,121,123,125,126,127,129,129,128,125,120,116,111,104,99,94,96,105,105,112,125,131,137,143,151,155,152,154,154,148,142,136,132,124,116,114,111,109,110,113,120,125,131,141,147,151,155,157,158,155,151,
148,141,135,130,126,122,119,119,119,119,121,122,124,126,127,130,130,129,127,123,119,114,108,102,98,93,96,106,106,113,127,133,140,145,152,156,152,153,152,146,139,132,129,121,114,113,110,109,111,114,122,127,133,143,148,152,156,158,158,154,150,146,140,133,128,125,121,118,118,119,119,121,123,125,126,127,130,130,128,126,122,118,112,106,102,96,92,101,106,106,118,129,135,141,146,155,155,153,155,152,
145,137,133,128,118,114,113,109,110,111,116,123,128,135,144,149,153,156,158,157,153,149,145,138,132,128,124,121,118,119,119,120,122,124,127,127,129,130,130,127,125,121,116,111,105,100,94,93,102,106,107,120,130,136,141,148,156,154,153,153,150,144,136,132,127,118,115,113,110,111,112,118,124,128,137,145,149,153,156,158,157,153,149,144,138,131,127,124,120,118,119,118,119,122,124,126,127,129,130,128,
127,125,121,116,111,106,101,95,96,105,107,110,123,131,137,141,148,154,153,152,152,148,141,134,131,125,117,114,112,110,111,113,119,125,129,137,146,149,153,156,157,156,152,148,143,136,130,126,122,119,118,118,119,121,122,124,127,128,129,131,129,127,124,120,116,110,105,100,96,98,106,107,112,125,132,137,143,149,154,152,152,151,147,140,133,130,124,117,115,113,111,112,114,120,126,130,137,144,149,152,
155,156,154,151,147,142,136,130,125,121,118,117,117,118,119,121,123,126,127,128,129,128,126,123,119,115,110,104,99,97,104,108,107,117,128,133,138,144,151,152,151,152,150,145,138,133,130,123,117,116,114,113,114,116,122,127,132,139,145,149,152,154,155,153,150,147,141,136,130,126,123,119,118,118,118,120,121,123,126,127,128,129,128,126,123,120,116,111,105,101,100,106,109,108,117,127,132,136,143,150,
152,151,151,149,146,139,132,129,124,117,114,113,113,114,116,121,127,131,136,142,147,149,151,152,151,148,144,140,135,131,126,122,120,119,118,118,120,122,124,126,128,129,130,130,128,127,125,122,118,115,113,110,109,112,113,114,118,123,128,132,137,141,144,146,146,145,143,141,138,133,129,127,124,121,120,120,122,123,126,128,132,135,137,139,140,141,141,140,139,138,136,135,133,132,131,130,129,128,128,127,
126,125,125,124,123,123,122,122,122,122,121,121,121,121,120,120,119,119,118,119,119,121,123,125,128,131,134,137,139,140,141,141,140,139,137,134,132,129,127,125,124,123,123,124,126,127,129,131,133,135,137,138,138,138,138,136,135,134,132,130,128,127,126,125,124,124,123,123,123,123,123,123,123,123,123,123,123,123,122,122,122,122,122,123,123,125,126,128,130,132,134,135,136,137,137,137,136,135,134,132,
131,129,128,127,127,127,127,128,129,130,131,132,133,134,134,134,134,134,133,132,131,129,128,127,126,125,125,124,124,124,124,124,124,124,124,124,124,124,124,123,123,123,123,123,123,123,124,125,127,128,130,131,132,133,134,135,135,134,134,134,133,132,130,129,129,129,128,129,129,129,130,131,132,133,133,134,134,134,134,133,132,131,130,129,128,127,126,126,125,125,125,125,125,125,126,126,126,126,126,125,
125,125,125,125,125,125,125,126,126,127,128,129,130,130,131,132,132,133,133,133,133,132,132,131,131,130,130,130,130,130,130,130,131,131,131,132,132,131,131,131,131,130,129,128,127,126,126,125,125,125,125,125,125,125,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,129,129,130,131,131,132,132,132,133,133,132,132,132,132,131,131,131,130,130,130,129,129,129,129,129,129,129,
129,129,128,128,128,128,127,127,127,127,127,126,126,126,126,126,126,126,127,127,127,127,127,127,128,128,128,128,128,128,128,128,129,129,129,130,130,130,130,130,131,131,131,131,131,131,131,130,130,130,130,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,127,127,127,127,127,127,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,130,130,130,130,130,130,130,130,130,130,130,130,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,127,127,127,127,127,127,127,127,127,127,128,128,128,129,129,129,129,129,129,129,128,128,128,128,128,128,128,129,129,129,129,129,129,129,130,130,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,128,128,128,128,128,128,128,
128,128,128,128,128,128,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,128,128,128,128,129,129,129,129,129,129,130,130,130,130,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,
128,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,128,128,128,128,128,128,128,128,129,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,129,129,129,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,127,127,127,127,127,127,127,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,128,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,129,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,131,129,130,130,129,130,129,130,130,129,129,130,130,130,129,129,130,131,130,129,
128,129,129,128,128,129,129,129,129,130,131,130,130,130,131,132,130,130,132,133,131,130,130,128,127,126,126,125,126,126,126,129,129,129,129,131,130,129,130,130,128,127,127,127,127,127,126,126,126,126,126,127,127,127,127,128,128,128,128,128,128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,127,127,127,127,127,127,127,127,126,126,127,127,126,127,128,127,127,128,129,128,128,
129,129,129,129,129,129,129,129,129,129,130,129,129,130,130,130,130,130,130,129,129,129,129,129,129,128,128,128,128,127,127,127,126,126,126,125,125,125,125,125,125,125,125,125,125,126,127,127,128,128,130,131,131,132,133,133,134,133,134,134,134,134,134,134,134,133,133,133,133,132,131,130,130,129,128,126,125,124,123,122,122,121,120,119,118,117,116,115,114,113,115,120,127,130,133,141,146,145,145,146,
144,140,136,131,128,126,122,120,122,123,124,128,131,133,136,138,140,142,141,140,141,141,139,137,135,134,132,129,128,126,125,122,121,120,119,118,117,117,118,117,117,116,116,114,114,118,126,128,128,135,141,140,139,140,141,138,133,130,129,127,124,122,124,126,126,128,130,132,133,133,134,136,135,135,136,136,135,135,135,136,135,133,133,133,131,128,127,127,125,124,125,125,126,125,125,126,126,124,123,122,
119,115,112,109,107,111,116,120,124,132,139,142,144,146,147,144,140,136,132,128,123,121,120,120,120,122,125,128,130,133,136,138,139,139,139,140,140,139,137,137,135,133,131,130,129,127,125,124,124,123,122,123,124,124,125,126,126,125,122,120,117,113,110,109,113,118,120,125,133,138,140,142,145,145,142,139,136,133,129,125,123,123,122,121,123,125,127,128,130,133,136,137,138,139,140,141,141,140,139,137,
134,131,129,126,124,122,122,122,122,123,124,125,127,127,127,126,125,122,118,114,111,107,105,108,112,118,122,129,137,142,143,146,147,145,141,137,134,130,126,123,122,121,121,122,124,126,127,129,131,134,135,137,139,140,141,142,142,141,139,136,134,130,127,124,122,121,121,122,123,125,127,128,130,131,130,128,126,123,118,113,108,104,102,105,110,115,122,130,138,144,146,148,148,146,142,138,133,130,126,123,
122,122,122,123,124,126,128,129,131,134,137,139,141,143,144,144,145,143,141,137,132,128,125,121,119,119,119,121,124,126,129,130,131,132,132,129,126,123,118,113,108,105,102,101,105,113,120,127,135,142,146,148,149,148,145,140,135,132,128,125,122,121,121,121,122,123,124,126,128,131,134,138,141,144,145,146,147,145,142,139,134,129,125,122,119,119,120,122,124,127,130,132,133,133,133,130,126,122,119,114,
108,104,101,100,102,108,117,123,130,139,145,147,149,149,147,144,139,135,132,128,124,122,121,120,119,120,121,123,125,128,133,138,141,144,147,148,148,147,144,140,136,130,125,122,120,118,119,121,124,126,130,132,133,133,132,130,127,124,121,116,111,106,103,101,101,104,111,119,126,133,141,146,148,149,148,146,143,138,134,131,127,123,121,119,118,118,118,120,123,126,130,135,140,144,146,149,150,149,146,141,
137,132,126,122,120,118,118,120,123,127,129,131,133,133,133,132,129,126,122,119,115,110,106,103,100,102,107,113,121,128,136,142,145,148,149,148,146,142,139,135,130,126,122,120,119,117,116,118,120,123,128,133,139,143,147,150,151,150,148,144,139,134,129,124,121,120,119,120,122,125,128,130,131,132,132,131,130,127,124,121,118,112,108,104,102,100,103,109,116,123,130,138,143,146,149,149,148,146,142,138,
134,129,125,121,118,115,114,114,116,120,124,129,135,142,146,150,152,152,150,146,142,137,133,128,124,121,121,121,121,123,126,129,130,131,132,132,131,129,127,124,121,118,113,107,103,101,101,104,110,117,124,132,140,144,147,151,151,149,146,142,138,134,128,123,119,116,113,112,113,116,120,125,131,138,144,148,151,152,151,148,144,140,135,131,126,123,122,121,121,122,124,126,128,130,131,131,132,132,130,127,
124,121,115,109,105,101,99,100,105,111,118,126,135,142,146,148,151,151,149,146,142,138,133,126,122,118,115,113,112,114,118,122,128,135,142,148,151,152,152,150,147,142,137,133,129,125,122,121,120,121,122,124,126,128,130,131,131,132,131,128,126,123,119,112,107,103,99,98,102,108,114,122,131,139,144,148,150,152,151,149,145,141,136,130,123,118,114,111,110,111,113,118,124,131,138,145,150,152,153,152,
150,146,141,137,133,129,125,122,120,120,120,122,124,126,128,130,130,132,132,130,127,125,122,116,109,104,100,97,99,104,111,118,126,134,141,146,150,152,152,152,149,144,139,133,127,121,116,113,110,109,112,115,121,128,135,142,149,153,154,154,152,149,145,139,135,131,127,124,121,121,120,120,122,125,127,129,130,131,132,131,129,127,123,118,113,106,101,98,98,103,110,115,123,133,139,143,147,151,152,152,
149,145,141,135,128,122,117,113,110,109,110,114,119,125,132,140,146,151,152,153,152,150,146,142,137,134,129,125,123,121,120,120,121,123,125,126,127,128,130,130,128,126,124,119,113,107,103,100,100,103,108,115,123,130,137,142,147,150,152,152,150,147,143,137,131,125,120,115,112,111,112,114,119,125,131,138,144,148,151,153,153,151,148,144,141,136,132,128,124,122,121,120,120,121,122,124,125,126,128,128,
127,126,124,120,114,108,105,102,103,105,110,115,122,129,135,140,145,149,150,150,149,146,142,136,131,125,120,116,113,111,112,115,119,124,129,136,142,146,149,151,152,151,148,146,142,138,133,129,126,123,121,119,119,119,119,121,122,124,125,125,126,125,123,120,115,111,108,106,107,110,113,118,124,130,135,139,144,147,149,148,147,143,139,135,130,125,121,118,116,115,116,118,121,125,130,135,140,144,147,148,
150,150,148,145,142,139,135,131,128,125,122,120,119,118,118,119,120,121,122,124,124,123,122,119,115,111,109,109,110,112,114,118,124,130,135,139,143,147,148,147,145,143,139,135,130,126,123,121,119,118,118,120,122,125,128,132,135,139,141,144,146,147,146,146,144,141,138,135,131,128,126,123,121,120,120,120,120,120,121,121,122,121,120,118,115,113,111,109,111,113,115,118,124,130,134,139,143,146,147,147,
146,142,138,135,132,128,125,123,122,121,121,122,123,125,128,130,132,135,139,142,144,145,146,146,146,143,141,138,135,132,129,125,123,120,119,118,117,117,117,117,117,117,116,114,113,112,111,112,113,115,117,121,127,132,137,142,146,147,148,147,144,140,137,134,130,127,124,122,121,121,121,122,123,124,127,130,132,134,138,141,143,145,146,146,145,144,142,138,135,132,129,125,122,120,119,117,116,115,115,115,
115,115,114,113,113,112,111,112,114,115,118,123,129,134,139,144,147,148,148,147,143,139,136,133,129,125,123,122,121,121,121,122,123,125,127,130,132,135,139,141,144,146,147,147,147,145,142,139,135,132,128,125,122,118,117,115,115,115,114,115,115,115,115,114,113,112,112,112,113,116,119,124,130,135,140,145,148,149,149,148,144,139,136,132,128,125,123,122,121,121,121,121,123,125,127,130,132,135,139,142,
144,145,147,147,147,145,142,139,135,132,128,124,121,119,117,115,115,114,114,114,115,115,114,114,114,112,111,112,114,116,119,125,130,136,140,145,147,148,149,146,142,138,135,132,128,125,123,121,121,121,122,123,124,126,128,131,133,136,139,142,145,146,146,146,145,143,141,138,134,131,127,124,121,119,117,116,115,114,114,115,115,115,115,115,114,112,112,113,115,117,119,125,131,136,141,145,148,149,149,147,
143,138,135,132,128,124,122,121,120,121,121,121,122,125,128,130,132,135,138,141,144,145,146,146,146,144,141,138,135,131,128,125,122,119,118,117,116,115,115,115,116,115,115,114,113,112,111,112,115,117,119,124,131,136,141,146,148,148,148,146,142,138,135,131,128,125,123,121,121,121,122,122,123,125,128,131,134,136,139,142,144,145,145,145,144,142,139,136,133,130,127,124,120,118,117,117,116,115,116,116,
116,116,115,114,113,112,112,114,116,118,120,125,132,137,141,145,147,148,147,145,141,136,133,130,126,123,121,120,120,120,121,121,123,126,129,132,135,138,140,143,145,146,146,146,144,141,139,135,132,129,126,123,120,119,118,118,117,117,117,117,117,116,115,113,112,111,112,114,116,119,122,128,133,138,142,145,147,148,146,144,140,136,133,130,126,123,121,121,120,121,121,122,124,127,130,133,136,139,142,144,
145,145,145,144,142,140,136,133,130,127,125,123,121,119,119,119,118,118,118,118,118,118,116,114,112,111,112,115,117,119,122,127,133,137,141,144,146,146,146,143,139,136,133,130,126,124,122,120,120,120,121,122,125,128,131,134,137,140,143,145,146,146,145,144,142,139,135,132,129,128,125,123,121,120,120,120,120,120,120,120,120,118,117,114,112,111,112,114,117,120,123,128,134,138,141,144,145,146,144,142,
138,135,133,129,125,122,121,120,120,120,121,123,126,129,132,135,139,142,143,145,146,145,144,142,140,137,133,131,128,125,123,121,120,119,120,120,120,121,121,122,121,119,117,115,112,110,110,112,115,118,122,127,134,138,142,144,146,146,145,142,138,134,131,128,124,121,119,118,118,119,120,123,127,130,134,137,141,143,145,147,147,146,144,142,140,136,133,130,126,124,122,121,120,119,119,120,121,122,123,123,
123,121,119,116,113,110,110,113,115,117,120,126,132,136,140,143,145,146,146,143,139,135,133,128,124,120,119,118,117,118,119,122,126,131,134,138,142,144,146,146,147,145,143,140,137,134,131,128,125,123,122,121,120,120,120,122,123,124,124,124,124,122,119,115,112,108,108,110,113,116,119,125,131,136,140,143,146,147,146,145,141,137,134,129,124,120,118,116,115,116,119,122,126,131,135,140,144,147,147,148,
148,147,144,140,137,134,130,127,124,122,121,121,120,120,122,123,124,125,126,126,124,123,119,115,111,107,105,107,112,115,119,125,133,137,140,143,146,148,147,145,141,138,134,128,122,118,116,114,113,115,119,124,130,135,140,145,148,149,149,149,148,145,141,138,134,130,127,123,121,121,121,122,123,124,126,127,128,129,128,128,126,123,119,113,108,103,101,104,110,114,119,126,134,139,142,145,149,149,149,146,
143,139,134,127,121,117,114,111,111,113,118,124,130,136,142,147,150,151,151,150,148,144,140,136,132,128,125,122,120,120,121,122,125,126,128,129,130,130,130,128,125,121,117,111,105,100,99,103,109,114,120,128,135,140,143,146,149,150,148,146,143,138,132,125,120,115,112,110,110,114,120,126,132,139,145,149,151,151,150,149,146,142,137,133,129,125,122,120,119,120,121,123,126,128,129,130,132,132,130,127,
124,120,116,109,103,100,98,100,108,114,121,127,135,141,144,147,149,150,149,146,142,137,132,124,118,114,111,109,110,114,120,126,132,139,145,150,153,153,151,149,147,143,138,133,129,125,122,120,119,120,121,124,127,128,130,131,132,132,130,128,124,120,115,108,102,98,96,100,108,114,121,128,136,142,145,148,150,150,149,146,142,137,131,123,117,113,111,109,110,114,120,127,134,141,147,151,153,153,152,149,
146,141,137,133,128,124,121,120,119,120,122,125,128,130,131,132,133,132,130,128,124,120,114,108,103,98,95,99,106,112,120,127,136,142,145,148,150,151,150,146,142,137,131,124,118,114,111,109,109,113,119,127,133,140,146,152,154,153,152,149,145,142,136,132,128,124,121,120,120,121,123,125,129,131,132,133,133,133,131,128,125,120,115,109,102,98,96,99,106,113,121,129,136,142,145,148,150,150,148,146,
141,137,131,124,118,113,110,109,110,113,119,127,134,141,148,152,154,154,152,149,146,141,136,132,127,124,121,119,119,120,122,125,128,130,132,132,133,132,131,128,124,119,114,108,102,97,96,99,107,113,121,129,137,144,147,149,151,151,150,146,142,138,131,124,118,113,111,109,109,113,120,126,134,140,147,152,154,154,151,149,145,140,136,131,127,123,121,120,120,121,123,126,129,131,133,133,133,133,130,128,
124,119,114,107,101,98,96,100,107,114,122,130,138,144,147,148,150,150,148,145,140,136,130,123,117,113,110,109,110,113,120,127,134,142,148,153,154,153,151,147,143,139,134,130,126,123,120,119,119,121,123,126,129,131,132,133,133,132,130,127,123,118,113,106,100,96,96,99,107,115,123,132,140,145,147,150,151,151,148,144,140,135,130,123,117,112,110,109,110,114,121,128,135,142,149,153,154,153,151,147,
144,139,134,130,126,123,121,119,120,122,124,127,130,132,133,133,133,132,129,127,122,117,112,105,100,96,96,103,111,118,126,135,141,146,148,149,151,150,146,143,138,134,127,120,115,111,109,109,111,116,124,131,138,145,150,153,154,152,149,146,141,136,131,127,124,121,119,119,120,122,124,127,130,132,132,133,133,131,128,125,121,116,109,102,97,96,100,106,114,123,131,139,144,147,149,150,150,148,145,141,
137,131,124,118,113,111,110,110,114,120,127,135,142,148,153,155,153,151,147,144,139,134,129,126,123,121,119,120,121,123,126,129,131,132,132,133,132,129,126,122,117,111,105,99,96,96,103,111,118,127,135,142,147,147,149,150,149,146,142,138,134,128,121,116,112,110,109,111,116,124,131,138,145,150,153,153,151,148,145,141,135,131,127,124,122,120,119,120,122,125,128,130,132,132,132,132,130,127,124,119,
114,107,101,96,95,100,108,116,124,132,140,145,147,148,149,149,147,143,139,136,130,123,117,113,110,110,110,114,121,128,135,142,149,153,154,152,150,147,143,138,133,129,126,123,121,120,121,123,124,127,130,132,132,133,133,132,129,126,121,117,111,104,98,95,97,105,113,121,129,136,144,147,147,149,149,147,144,140,137,133,126,119,114,111,110,109,111,118,125,133,140,147,152,154,153,151,147,144,140,134,
130,126,124,121,119,119,121,123,126,128,130,132,133,133,132,130,127,123,118,112,105,100,96,96,104,113,119,128,135,142,147,147,148,149,148,146,141,138,134,127,120,115,111,109,109,110,116,124,131,139,146,151,155,154,151,149,145,141,136,132,128,125,122,120,120,122,124,126,129,132,133,133,134,133,131,127,124,119,113,106,100,96,95,101,110,118,125,134,141,146,148,148,148,148,146,143,138,134,129,122,
116,112,110,109,110,115,122,130,138,144,150,154,154,152,149,146,142,137,132,128,125,123,121,120,122,123,125,128,131,132,133,133,133,131,128,125,120,114,107,100,96,96,101,110,117,125,134,142,145,147,148,149,148,145,142,139,135,129,122,115,112,109,108,109,114,121,129,137,144,150,154,154,152,149,146,143,136,132,129,126,123,121,120,121,123,125,127,130,131,132,132,132,131,128,124,119,114,108,100,96,
96,101,110,117,125,135,141,145,147,147,149,149,145,142,139,135,130,122,116,113,110,109,110,114,122,129,137,144,150,154,155,152,149,146,142,136,132,128,125,122,120,119,121,123,125,127,130,132,132,133,133,131,129,125,120,114,107,100,97,95,100,109,116,125,134,140,146,147,148,149,148,146,143,139,135,130,123,117,112,109,108,109,113,120,128,136,144,150,154,155,153,150,146,142,137,132,128,126,123,121,
120,121,122,125,128,130,132,133,133,133,131,128,125,120,114,107,100,96,95,98,107,117,125,133,140,145,148,149,149,149,147,144,140,135,130,124,117,112,109,108,109,113,120,129,137,143,150,154,155,153,150,146,143,138,132,128,125,123,121,120,120,123,126,128,130,132,133,134,133,131,128,125,120,114,108,100,96,95,98,108,116,123,132,140,146,148,148,149,149,147,144,140,136,131,123,117,112,109,109,109,
112,120,128,136,144,149,154,156,154,150,146,142,138,133,128,125,123,121,119,120,122,125,128,131,133,134,134,134,132,130,126,121,115,109,103,97,93,95,102,113,121,128,137,144,148,148,149,149,148,145,140,136,132,126,119,113,109,108,109,111,116,124,133,140,147,152,156,155,152,147,144,140,135,129,126,123,121,119,119,121,124,127,130,133,135,135,135,133,131,128,123,118,112,106,100,95,92,97,107,116,
125,133,141,148,149,149,150,149,147,144,139,135,130,124,116,112,109,109,110,113,120,129,138,145,151,155,157,154,150,147,143,138,133,128,125,123,121,120,121,123,126,129,131,133,135,134,134,132,129,125,120,113,107,100,96,93,94,103,114,123,131,137,145,150,149,149,148,148,145,140,136,131,126,118,112,108,108,109,111,117,125,135,143,148,153,155,155,152,147,144,139,134,129,125,123,121,120,120,122,125,
129,131,132,134,135,135,132,129,126,122,115,108,101,96,94,94,104,115,122,130,138,144,148,148,148,148,147,145,141,136,132,126,119,113,109,108,109,112,117,126,135,144,150,154,156,155,152,147,144,139,134,129,125,123,121,119,119,121,124,127,130,132,133,134,134,132,129,127,122,115,108,102,97,94,93,99,112,123,129,136,143,148,149,148,147,147,146,142,137,132,128,121,114,109,107,109,112,117,124,133,
142,149,153,154,155,152,148,144,140,135,131,126,123,121,120,120,121,124,128,130,132,133,134,134,132,129,126,123,117,109,103,99,95,93,97,110,122,129,135,141,148,150,148,147,147,147,144,138,132,129,124,116,110,108,109,113,116,122,132,141,148,152,154,155,154,150,145,141,136,132,127,123,121,120,120,121,123,126,129,130,132,133,133,131,130,127,123,118,110,104,100,96,93,93,104,119,127,133,138,145,
150,149,147,146,147,146,140,134,130,126,120,112,108,108,112,115,120,128,137,146,152,153,153,154,152,148,143,138,133,129,125,122,120,120,121,121,124,128,130,132,132,133,132,131,129,125,121,115,109,104,100,96,94,96,110,124,130,135,142,148,151,149,147,146,147,144,138,132,128,124,117,111,109,111,115,118,123,131,141,148,152,153,153,154,151,146,141,136,132,128,124,120,120,121,121,122,125,128,131,131,
131,132,133,131,127,122,119,114,107,103,99,96,95,95,104,121,130,134,140,146,151,150,147,145,145,144,140,133,128,125,119,113,110,110,115,120,124,131,139,147,152,153,152,154,152,148,142,137,133,129,124,121,120,121,122,122,124,127,130,131,131,131,132,131,128,124,120,115,109,105,102,100,99,98,98,107,124,134,135,140,146,150,150,146,145,143,142,138,131,126,124,120,114,111,113,118,122,126,132,140,
147,152,152,152,153,152,147,142,137,133,129,125,122,121,122,123,123,124,127,129,130,131,131,131,130,127,123,120,116,111,107,105,103,101,102,103,105,109,122,134,138,140,145,148,149,146,143,141,139,137,132,127,126,124,119,117,119,122,126,130,135,140,146,151,153,152,151,148,144,140,135,131,128,126,122,121,120,120,121,121,124,127,130,131,131,129,128,127,124,120,116,113,111,110,108,106,105,107,109,110,
114,123,132,137,140,143,145,146,143,140,138,137,136,133,129,128,127,125,124,125,130,135,139,141,143,146,148,148,146,144,143,141,137,132,127,124,121,119,118,120,122,122,124,126,128,129,128,127,125,125,124,121,117,115,113,111,109,109,109,112,113,114,117,121,123,127,132,137,139,140,139,139,138,137,136,134,133,134,133,133,134,135,135,135,135,137,139,141,142,142,142,142,139,136,133,130,128,126,125,124,
124,124,123,123,124,125,125,125,126,126,125,124,123,122,121,119,118,116,116,116,116,116,116,117,118,120,123,124,124,126,126,128,129,131,132,134,136,136,136,137,137,136,137,138,139,139,140,140,139,138,138,137,136,136,135,134,133,132,131,130,129,129,128,128,129,129,127,126,124,123,123,123,124,124,123,122,121,120,119,120,120,120,120,120,120,120,121,122,123,123,124,124,126,126,127,128,129,131,132,133,
133,133,133,134,135,136,135,135,135,135,136,137,137,136,135,135,135,135,135,134,133,132,132,132,131,130,130,130,130,129,128,128,127,127,126,126,126,125,125,125,125,124,123,123,122,122,122,122,123,123,123,123,122,123,124,124,125,125,125,125,126,127,128,127,128,130,130,131,132,132,133,134,135,135,136,136,136,136,136,135,134,133,133,132,132,132,131,130,130,130,130,130,130,130,130,130,130,130,129,129,
128,128,127,126,126,125,125,125,124,124,123,122,122,122,123,123,123,124,125,124,124,124,125,127,128,128,127,126,126,127,127,128,129,129,130,130,130,130,131,131,131,133,134,134,134,133,133,133,132,132,132,132,132,132,132,131,131,130,130,130,130,130,130,130,130,129,128,128,128,128,128,128,127,126,124,124,124,124,125,125,125,124,124,124,124,124,125,125,126,126,126,125,125,126,126,126,126,127,127,128,
128,128,128,128,129,129,131,131,131,131,131,131,131,131,131,131,131,131,131,131,131,131,130,130,130,130,130,130,130,130,130,130,130,129,129,129,129,129,129,128,127,128,128,127,127,127,127,126,126,126,126,127,127,126,126,126,127,127,128,128,127,127,128,128,128,129,129,128,128,128,127,127,127,127,128,128,128,128,129,129,129,129,129,130,130,131,131,131,131,130,129,129,129,130,130,129,129,129,128,128,
129,129,130,130,129,129,130,130,129,129,129,129,129,129,129,129,129,128,127,127,127,127,128,128,129,129,129,129,128,128,128,128,127,128,128,128,128,128,127,127,126,126,127,128,129,129,129,130,130,131,131,131,131,131,131,130,130,130,129,129,129,130,129,129,130,130,130,131,131,131,131,131,132,132,131,131,130,129,129,129,128,128,128,127,127,127,127,127,128,128,128,129,129,128,128,128,128,128,128,127,
127,127,127,127,127,127,127,127,127,127,128,129,129,129,129,129,129,129,129,128,129,129,129,129,129,128,128,129,129,130,130,130,130,130,130,130,130,130,130,130,130,130,129,129,129,128,128,128,129,129,129,129,128,128,128,128,128,128,129,129,129,128,128,127,127,127,127,128,128,128,129,129,129,129,129,128,128,128,129,128,129,129,129,129,129,128,128,129,129,129,129,129,129,129,129,129,129,129,129,129,
129,129,129,128,128,128,128,128,128,128,128,128,129,129,129,129,128,128,128,128,128,128,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,128,128,129,129,129,130,129,129,129,129,129,129,129,128,128,129,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,129,
129,128,128,128,128,128,128,128,129,129,130,130,130,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,127,128,128,128,128,128,129,129,129,128,128,128,128,129,129,129,129,128,128,128,129,129,130,130,130,130,130,130,129,129,129,128,128,128,128,128,128,127,127,127,127,128,128,128,128,129,129,129,129,128,128,127,128,128,128,
127,127,126,126,126,127,127,128,128,128,128,128,128,128,129,129,129,129,129,129,129,128,129,129,129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,129,129,128,128,128,128,129,129,129,128,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,129,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,128,128,129,129,129,129,129,129,129,129,129,128,
129,129,129,130,129,129,129,129,128,128,128,128,129,129,129,129,128,128,128,128,128,128,128,128,129,129,129,128,128,128,128,128,128,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,130,130,130,130,130,130,130,130,130,130,130,130,130,129,129,129,130,130,130,129,129,129,128,128,128,128,128,128,128,128,127,127,127,127,127,127,127,127,127,127,
127,127,127,127,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,129,129,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,130,129,129,129,128,128,127,127,127,127,128,128,127,127,127,127,127,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,130,130,130,130,131,131,131,131,131,131,131,131,131,130,130,130,130,
130,129,129,129,129,129,128,128,128,127,127,127,127,126,126,126,125,125,125,125,126,126,126,126,126,126,126,127,127,127,128,128,129,129,129,129,130,130,130,130,130,130,131,131,131,131,131,131,131,131,131,132,132,132,132,132,132,132,132,132,132,131,130,130,129,129,128,128,128,127,127,126,126,126,126,126,126,125,125,125,125,125,125,125,125,125,125,125,125,126,126,126,127,128,128,128,129,129,130,130,
130,130,131,131,131,131,131,131,132,132,132,132,132,132,133,133,133,133,133,132,132,132,131,130,129,129,128,128,127,126,126,125,125,125,125,125,125,125,125,125,124,125,125,125,125,125,125,125,125,126,126,126,127,128,129,129,130,130,130,131,131,132,132,133,133,133,133,133,133,133,133,133,133,134,134,134,133,133,133,133,133,132,131,130,129,128,127,127,126,126,125,125,125,124,124,124,124,124,124,124,
124,124,124,124,123,123,123,123,123,124,125,126,126,127,128,129,129,130,131,132,132,133,133,133,133,133,133,133,133,133,133,133,134,134,134,134,134,133,133,133,132,131,130,129,128,127,126,125,124,124,123,123,123,123,123,123,123,123,123,123,123,124,123,123,123,123,123,124,125,126,127,128,129,131,132,133,134,135,135,136,135,135,135,135,134,134,133,133,133,133,133,133,133,133,133,133,133,133,133,132,
130,129,127,126,125,124,123,123,122,121,121,121,121,121,121,121,122,122,122,122,122,122,122,122,123,124,125,126,128,130,131,133,134,135,135,135,135,134,134,133,132,131,130,129,129,128,128,129,129,130,132,133,135,137,138,139,138,137,136,134,132,130,129,127,126,125,123,122,120,120,119,120,120,121,123,123,123,124,123,123,123,122,122,122,122,123,124,126,128,130,131,133,134,135,135,135,135,134,134,133,
132,131,130,129,128,128,128,128,130,131,132,134,135,137,137,138,138,137,136,135,133,132,130,129,128,126,125,124,123,122,121,121,121,121,122,123,123,123,122,121,121,120,119,119,119,119,121,123,126,129,131,133,135,136,137,137,136,136,135,134,133,132,130,129,127,126,125,126,127,128,130,132,134,137,138,139,139,139,137,136,135,132,131,129,128,127,126,125,124,123,123,122,122,123,123,123,124,124,124,123,
122,120,119,118,117,117,117,117,119,122,126,130,133,136,138,139,139,138,137,136,136,135,133,131,130,127,126,124,124,124,126,129,132,134,137,139,141,141,141,140,139,137,134,132,130,127,126,125,124,124,123,123,123,123,123,123,124,124,124,125,124,123,121,120,118,117,116,115,115,116,120,123,128,132,136,138,140,140,140,139,138,137,136,135,133,131,128,126,124,123,123,124,127,130,132,135,138,140,141,142,
141,140,138,136,133,130,128,127,125,124,124,123,123,123,123,123,123,124,125,125,125,125,124,123,121,119,117,116,114,113,114,116,120,125,130,134,138,141,142,142,141,140,139,138,136,135,132,129,126,123,122,122,122,125,127,131,134,137,140,142,143,143,143,141,138,135,132,130,128,126,125,124,123,123,122,122,122,122,123,124,124,125,125,124,123,122,120,117,115,114,113,112,114,118,123,128,133,137,140,142,
142,142,141,140,139,137,136,133,130,127,124,121,120,120,122,125,129,132,135,139,142,144,144,144,142,141,138,134,131,129,126,125,124,123,122,122,122,121,122,123,124,125,125,126,126,124,122,120,118,116,113,111,111,111,114,119,125,130,135,139,142,143,143,142,141,141,139,137,134,131,128,124,121,119,119,120,123,127,131,135,138,142,144,146,146,145,143,141,138,135,131,128,126,125,124,123,122,122,121,121,
122,122,124,124,125,125,124,122,120,117,114,112,110,109,110,112,117,123,129,134,138,141,143,144,143,143,142,140,138,135,132,128,124,121,118,118,119,122,126,130,135,139,142,145,147,147,147,145,142,139,135,132,129,126,125,123,123,122,121,121,121,121,122,123,124,126,125,125,123,120,117,114,111,109,108,108,111,116,121,127,133,138,141,143,144,143,142,141,140,139,136,132,128,124,121,118,117,118,121,125,
130,135,139,142,145,147,149,148,147,144,141,138,133,129,127,125,123,122,121,120,119,119,119,120,121,123,124,125,124,122,119,117,114,111,108,106,106,110,115,122,128,134,139,142,144,145,144,144,143,142,139,136,133,129,124,121,118,116,118,121,125,130,135,139,143,146,148,150,150,148,146,142,138,135,131,127,126,124,123,121,120,120,120,119,120,121,123,124,124,124,121,118,116,112,109,107,105,106,111,117,
123,131,136,141,144,145,145,144,143,143,141,138,135,131,127,123,119,116,116,118,122,127,132,136,141,144,147,149,150,149,147,144,141,137,134,130,126,124,122,121,120,119,118,118,118,119,120,122,123,123,123,121,118,114,112,109,106,105,108,113,120,127,134,139,143,145,145,145,144,143,142,140,138,134,131,126,122,118,116,116,119,123,129,133,138,143,146,148,150,150,149,148,145,141,137,133,130,126,124,123,
121,120,119,119,118,118,118,120,121,122,122,121,119,116,113,109,106,104,105,110,116,123,131,137,142,145,147,146,144,143,142,140,138,135,132,127,123,119,115,115,116,120,126,131,136,141,145,148,150,150,150,149,147,143,139,135,131,128,125,123,121,120,119,118,117,117,118,119,120,121,121,120,119,117,114,111,108,106,104,106,112,119,126,134,140,145,147,148,147,146,145,142,140,138,135,131,126,122,118,115,
115,117,122,127,133,139,143,147,151,152,153,152,149,147,143,139,134,131,127,125,122,120,119,118,117,117,117,118,119,120,121,120,119,118,115,113,109,107,104,104,108,114,120,129,135,141,146,149,148,147,145,144,141,139,136,132,129,125,120,117,115,116,119,124,129,135,140,145,149,152,153,153,152,149,146,142,137,132,128,125,122,120,119,118,117,116,116,117,118,119,120,120,120,118,116,114,110,108,105,103,
105,111,117,125,133,140,145,149,150,148,147,145,143,141,138,134,131,127,122,118,115,115,117,120,125,130,136,141,146,149,152,152,152,151,148,144,140,135,131,127,124,122,119,118,117,117,116,117,117,118,119,119,119,118,117,114,112,109,106,103,103,107,113,119,128,136,142,147,149,150,149,147,145,143,139,136,133,128,125,120,116,114,114,117,121,126,132,138,144,148,151,153,153,153,151,148,144,139,134,130,
126,123,121,119,118,116,116,116,117,118,119,120,120,119,118,117,114,111,108,105,103,104,109,115,122,131,138,144,148,151,150,148,147,145,142,138,135,131,127,123,119,115,114,116,118,123,128,134,139,144,148,151,152,152,151,149,146,142,139,134,130,126,123,122,119,119,118,118,117,118,119,120,121,121,120,118,116,113,110,107,105,103,104,109,115,122,131,137,144,148,150,150,149,147,144,141,138,135,131,127,
123,119,116,115,116,119,123,129,134,140,145,148,151,152,152,151,149,146,142,138,134,130,126,123,121,120,118,117,117,117,117,118,119,119,119,118,118,115,113,110,107,105,104,107,112,118,126,133,140,145,148,150,149,147,145,143,140,136,133,129,125,122,118,115,115,117,120,125,130,137,141,146,149,150,152,152,150,148,144,141,137,133,129,126,123,121,119,119,118,117,117,118,118,119,119,119,118,116,114,112,
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