Xtick spacing for matplotlib

I am trying to plot the graph with X axis plotting time and Y axis plotting memory used. I parse this data from log file which has about 5 days of data and I want to plot all the numbers as is. I am pretty new to matplotlib, so not able to figure out how to add space for xticks. I am able to generate the graph for 24 hour period, but xticks are very much cluttered.

Graph for 24 hours data

Here's the code:

import datetime
import random
import matplotlib.pyplot as plt
from matplotlib.pyplot import figure
import numpy as np



x = ['11:26', '11:36', '11:43', '11:50', '11:58', '12:05', '12:13', '12:20', '12:27', '12:33', '12:38', '12:44', '12:49', '12:54', '12:59', '13:04', '13:10', '13:15', '13:21', '13:27', '13:33', '13:39', '13:46', '13:53', '14:00', '14:07', '14:15', '14:20', '14:35', '14:50', '15:05', '15:20', '15:35', '16:06', '16:15', '16:23', '16:30', '16:37', '16:45', '16:52', '16:59', '17:07', '17:13', '17:18', '17:23', '17:28', '17:34', '17:39', '17:44', '17:49', '17:55', '18:01', '18:07', '18:13', '18:19', '18:26', '18:33', '18:40', '18:47', '18:54', '18:59', '19:15', '19:30', '19:45', '20:00', '20:15', '20:46', '20:55', '21:03', '21:10', '21:17', '21:25', '21:32', '21:40', '21:47', '21:53', '21:58', '22:03', '22:09', '22:14', '22:19', '22:24', '22:29', '22:35', '22:41', '22:47', '22:53', '22:59', '23:06', '23:13', '23:20', '23:27', '23:34', '23:39', '23:55', '00:10', '00:25', '00:40', '00:55', '01:26', '01:35', '01:43', '01:50', '01:57', '02:05', '02:12', '02:19', '02:26', '02:33', '02:38', '02:43', '02:48', '02:53', '02:59', '03:04', '03:09', '03:15', '03:21', '03:27', '03:33', '03:39', '03:46', '03:53', '04:00', '04:07', '04:14', '04:19', '04:34', '04:49', '05:05', '05:20', '05:35', '06:05', '06:15', '06:22', '06:29', '06:37', '06:44', '06:52', '06:59', '07:06', '07:12', '07:17', '07:23', '07:28', '07:33', '07:38', '07:43', '07:49', '07:55', '08:01', '08:06', '08:12', '08:18', '08:25', '08:32', '08:40', '08:47', '08:54', '08:59', '09:14', '09:29', '09:44', '09:59', '10:14', '10:45', '10:54', '11:02', '11:09', '11:16', '11:24']
y = [8119756, 7862656, 7930220, 7964840, 7969156, 7971444, 7973372, 7987932, 7987336, 7893752, 7941384, 8010040, 7974324, 7904344, 7994804, 8022468, 8027888, 8034508, 8009516, 8005600, 8008008, 8009392, 8042148, 8016556, 8052232, 8028808, 8058596, 7510520, 7511548, 7526412, 7568928, 7602368, 7602368, 8284188, 8389260, 8395832, 8449324, 8472664, 8522396, 8527608, 8533316, 8499792, 8315568, 8364208, 8498216, 8487636, 8334352, 8441284, 8553968, 8526356, 8529896, 8522300, 8512912, 8537832, 8509352, 8517080, 8515768, 8560672, 8555192, 8522156, 8034560, 8061808, 8055152, 8061916, 8116656, 8116656, 8316820, 8306224, 8359536, 8424432, 8471660, 8494028, 8548792, 8512484, 8540924, 8310224, 8422936, 8495848, 8491500, 8294264, 8407840, 8512332, 8502440, 8510632, 8521212, 8525880, 8505476, 8530504, 8501076, 8549408, 8514888, 8521116, 8511076, 8013324, 8060580, 8017212, 8088956, 8082892, 8082892, 8360536, 8341988, 8441768, 8466644, 8459788, 8511404, 8522024, 8520540, 8509496, 8312028, 8374172, 8504160, 8487816, 8281568, 8405264, 8470692, 8471572, 8473404, 8438832, 8435352, 8449072, 8441444, 8476268, 8446284, 8487840, 8450572, 8495488, 7998268, 7937864, 7963976, 7953340, 8023880, 8023880, 8402204, 8355472, 8435288, 8459012, 8468036, 8514588, 8526636, 8505516, 8511264, 8291852, 8385664, 8484208, 8468764, 8353152, 8410588, 8525012, 8515584, 8518596, 8522508, 8505692, 8527032, 8505688, 8508916, 8510200, 8517840, 8545512, 8525096, 8024876, 8040276, 8042692, 8073932, 8160228, 8160228, 8340560, 8351532, 8365188, 8494460, 8524280, 8538544]

# plot

plt.figure(figsize=(20,10),dpi=400)
plt.grid()

plt.gcf().canvas.draw()
plt.xticks(rotation='vertical', fontsize = 10, color='red')


ax = plt.gca()
ax.tick_params(axis='both', which='major', pad=10)



plt.plot(x, y, c = 'k', label = "Data")
plt.xlabel("Time of Testcase")
plt.ylabel("Memory Used")
plt.title("Longevity Data Analysis")
plt.legend()

plt.savefig("test1.png")
plt.show()


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